Electronic clock with non-position plus counting representation based on Fibonacci spiral line

Abstract

A display part of the electronic clock comprises 15 square light-emitting units which are arranged according to the Fibonacci spiral line, and the time is displayed by adding and counting according to the light-emitting state of each light-emitting unit. The side length of each light-emitting unit adopts the first eight positions (1, 1, 2, 3, 5, 8, 13 and 21) of the Fibonacci sequence, the number of the light-emitting units with the side length of 1 is 4, the number of the light-emitting units with the side length of 2, 3, 5, 8 and 13 is 2, and the number of the light-emitting units with the side length of 21 is 1. The light-emitting units are arranged along the two Fibonacci spiral lines according to the sequence of the side lengths from small to large. Each light-emitting unit can emit light of two different colors, the sum of the side lengths of the light-emitting units emitting light of one color represents hour, the sum of the side lengths of the light-emitting units emitting light of the other color represents minute, and the light-emitting units which cannot be used at the current time do not emit light. The electronic clock adopts a non-position and plus-counting digital representation method, can display 24-hour time and calendar, is simple and efficient in timing algorithm and unique in display effect, has a mathematical training function, and can stimulate curiosity of children to mathematics and cultivate interests of digital exploration based on a special structure of the electronic clock in daily life.

Description

Technical Field

[0001] The invention relates to a timing tool, in particular to an electronic clock based on a non-position plus counting representation of a Fibonacci spiral. Background Art

[0002] Clocks are widely used and are indispensable tools in people's daily lives and work, with profound significance for aspects such as life patterns and social coordination. Currently, most clocks use analog or digital display modes, which are simple and intuitive, with limited functions and lack of fun.

[0003] The Fibonacci sequence is a classic mathematical sequence characterized by each term being the sum of the previous two. It has widespread applications in nature, art, computer science, and other fields. The Fibonacci spiral, a geometric shape based on the Fibonacci sequence and the golden ratio, is both aesthetically and mathematically significant.

[0004] Prior art CN 116627016 A discloses a Fibonacci clock device that displays time by controlling six illuminated zones. CN 117192929 A discloses a clock based on the Fibonacci sequence that displays time using six color blocks displaying six different colors. While these schemes utilize the Fibonacci law to control time display, they still have certain drawbacks compared to traditional clocks: the timing method is complex and cumbersome. Both schemes require the user to perform complex addition and multiplication operations, requiring the user to memorize these complex calculation rules in actual use; otherwise, the current time cannot be read, reducing the clock's fun. Furthermore, CN 116627016 A also requires a separate sixth illuminated zone to display remainders from 1 to 4. Otherwise, the time can only be counted as 5 minutes, not 1 minute, and the remainder display deviates from the Fibonacci sequence. CN 117192929 A also requires users to distinguish which of the six color blocks are involved in which calculations. For users, such cumbersome timekeeping rules are difficult to remember in daily life, resulting in a poor user experience. Furthermore, this solution can only display times between 0:00 and 11:59, failing to fully display 24-hour time. Furthermore, the arrangement of the luminous units in the above solution does not follow the order of the Fibonacci spiral, failing to reflect the mathematical significance of the Fibonacci sequence. Furthermore, the above-mentioned prior art still only has a clock display function, a single function. In real life, many families with children hope to train their children in calculations and mental arithmetic at appropriate ages to improve their sensitivity to numerical calculations. This requires purchasing specialized computing equipment, but this presents another problem: children tend to reject specialized computing equipment. Consequently, there is a lack of equipment that can instill the wonders of numbers in children in their daily lives, thereby attracting their interest in learning numbers, calculations, and mental arithmetic, and cultivating their mathematical literacy. Summary of the Invention

[0005] To solve the above problems, the present application provides an electronic clock based on the Fibonacci spiral and non-positional plus-counting representation. It adopts a non-positional, plus-counting digital representation method, and the timing algorithm is simple and efficient. It can display the 24-hour time and the calendar, which conforms to people's habit of expressing time and the need for time query. The display effect is unique, meets consumers' requirements for product fun, practicality, and aesthetics, and improves the user experience; it also has a mathematical training function, and performs mental arithmetic exercises based on the special structure of the electronic clock used in daily life, stimulates children's curiosity about mathematics, and cultivates their interest in digital exploration.

[0006] The electronic clock provided by the present application has a non-positional plus counting representation based on the Fibonacci spiral, including 15 square luminous units of different side lengths for displaying time. The 15 square luminous units are two groups of square luminous units whose side length ratios follow the Fibonacci sequence. The side length ratios of each group of square luminous units are 1:1:2:3:5:8:13:21. The two groups of square luminous units share the square luminous unit with the largest side length, one group of square luminous units is luminous units 1 to 8, and the other group of square luminous units is luminous units 8 to 15, and luminous unit 8 is shared by both groups. The electronic clock uses a non-positional plus counting method to represent the numerical value of time or date. The size of the numerical value is not related to the position of the luminous unit emitting a certain color of light, but is determined by the cumulative sum of the side length values ​​of the luminous units emitting a certain color of light.

[0007] Preferably, the square luminous units 1 to 8 are arranged along the Fibonacci spiral in the plane space in the order of the side length from small to large. Starting from the square luminous unit 1 with the smallest side length, the square luminous unit 2 is adjacent to the left side of the square luminous unit 1. Since the side lengths of the two are equal, the left edge of the square luminous unit 1 and the right edge of the square luminous unit 2 can completely overlap; the square luminous unit 3 is adjacent to the lower side of the square luminous units 1 and 2. Since the side length of the luminous unit 3 is equal to the sum of the side lengths of the square luminous unit 1 and the square luminous unit 2, the upper edge of the square luminous unit 3 overlaps with the upper edge of the square luminous unit 1. and the lower edge of 2 completely overlaps; each subsequent square luminous unit is arranged adjacent to each other in a counterclockwise rotation, and the edge of the subsequent square luminous unit is made to completely overlap with the edge of the two previous luminous units by utilizing the rule that the side length of the subsequent square luminous unit is equal to the sum of the side lengths of the two previous luminous units, and gradually expands outward to form a layout arranged along the Fibonacci spiral; another group of square luminous units 15-8 have the same side length as the square luminous units 1-8, and are symmetrically distributed with the square luminous units 1-8 with the square luminous unit 8 as the center, and their layout is arranged along another Fibonacci spiral.

[0008] Preferably, the white light-emitting plates of the square luminous units 1-7 and 15-9 are each provided with a quarter-circular arc with a radius of the side length of the square, the starting point of the arc is a vertex of the square and the end point is a vertex not adjacent to the starting point, the chord corresponding to the arc is the diagonal of the square, and the white layer of the light-emitting plate along the arc is thinner, or a transparent frosted surface is used instead of the white layer. When the square luminous unit is illuminated, the arc can display the same color as other areas of the square and can also be identified as a contour line with different transmittance; when the square luminous units 1-7 are arranged along the Fibonacci spiral, by rotating the placement angle of the square, the arcs on these square luminous units are connected end to end to form a Fibonacci spiral; similarly, the arcs of the square luminous units 15-9 are connected end to end to form another Fibonacci spiral; the white light-emitting plate of the square luminous unit 8 is provided with two quarter-circular arcs with a radius of the side length of the square, so that the above two Fibonacci spirals intersect.

[0009] Preferably, the 15 square luminous units are all equipped with light-emitting devices of two colors, and each luminous unit can emit light of a certain color, or emit light of another different color, or not emit light; the hours of the electronic clock are the sum of the side lengths of all luminous units that emit a certain color, and the value range is 0 to 23; the minutes of the electronic clock are the sum of the side lengths of all luminous units that emit another color, and the value range is 0 to 59; non-luminous luminous units do not participate in the calculation of hours or minutes.

[0010] Preferably, the 15 square luminous units can display a calendar containing month and date information, and the configurable display mode can be one or more of calendar display modes 1, 2, or 3; in calendar display mode 1, the number of months of the electronic clock is the sum of the side lengths of all luminous units that emit a certain color of light, and its value range is 1 to 12; the number of days of the electronic clock is the sum of the side lengths of all luminous units that emit another color of light, and its value range is 1 to 31; non-luminous luminous units do not participate in the calculation of the number of months or days; in calendar display mode 2, the number of months of the electronic clock is the sum of the side lengths of all luminous units in the 7 luminous units (luminous units 9 to 15) on the right side of the electronic clock that are in a luminous state, and its value range is 1 ~12; the day number of the electronic clock is the sum of the side lengths of all the luminous units in the 7 luminous units (luminous units 1 to 7) on the left side of the electronic clock that are in the luminous state, and its value range is 1 to 31. The luminous units that do not emit light do not participate in the calculation of the month number or the day number; in calendar display mode 3, the month number of the electronic clock is the sum of the side lengths of all the luminous units in the 7 luminous units (luminous units 1 to 7) on the left side of the electronic clock that are in the luminous state, and its value range is 1 to 12; the day number of the electronic clock is the sum of the side lengths of all the luminous units in the 7 luminous units (luminous units 9 to 15) on the right side of the electronic clock that are in the luminous state, and its value range is 1 to 31; the luminous units that do not emit light do not participate in the calculation of the month number or the day number.

[0011] Preferably, the electronic clock has a math question answering training function; the selectable training mode may be one or more of the question answering training modes 1, 2 or 3; in the question answering training mode 1, a numerical question not exceeding 87 can be voice broadcasted, and the user selects a light-emitting unit through a key or touch pad input unit or a communication unit so that the cumulative sum of its side length values ​​is equal to the numerical question, then the question is answered successfully, otherwise the question is answered failed, and the answer result is fed back to the user through the sound effect unit or the light-emitting unit; in the math question answering training mode 2, a plurality of light-emitting units can be randomly selected to emit a certain color of light as a question, and the user answers the question through a key or touch pad input unit or a communication unit. Corresponding number, if the cumulative sum of the side length values ​​of the luminous units that emit a certain color of light in the question is equal to the answered number, the question is answered successfully, otherwise the question fails, and the result of the answer is fed back to the user through the sound effect unit or the luminous unit; in mathematics answering training mode 3, multiple luminous units can be randomly selected to emit a certain color of light to represent the original number, and then another multiple luminous units can be selected to emit another color of light to represent the comparison number. The user judges whether the original number and the comparison number represented are equal through the key or touchpad input unit or the communication unit. If the judgment is correct, the question is answered successfully, otherwise the question fails, and the result of the answer is fed back to the user through the sound effect unit or the luminous unit.

[0012] Preferably, a display control unit is provided, which can control the lighting state of each luminous unit according to the time or calendar value to be displayed currently; it can match and control whether each luminous unit emits light and what color of light it emits according to any moment in the 1440 time points in the time range of 0:00 to 23:59 to be displayed in units of minutes, and avoid the difficulty in identification caused by the same luminous unit emitting two colors of light at the same time; it can match and control whether each luminous unit emits light and what color of light it emits according to any month and date in the 366 dates in the range of January 1 to December 31 to be displayed in units of days according to the set display mode; it can control whether each luminous unit emits light and what color of light it emits according to the question to be displayed and the status of the answering process.

[0013] Preferably, it is equipped with a sound effect unit; it can ring tone reminders or voice broadcasts at the hour, preset time, current time or current date, or broadcast training questions and answer results.

[0014] Preferably, it is equipped with a button or touchpad input unit or a communication unit; different functions or parameters can be selected through button input, touchpad input or communication module, and hourly time setting information, preset time information, and instructions for broadcasting the current time can be input, or date setting information and the instruction for "broadcasting the date" can be input, or answer results can be input, as well as other human-computer interaction content that needs to be input into the electronic clock.

[0015] Preferably, according to the user's key or touchpad input unit or communication unit instruction, or in the specific situation of power-on self-test, alarm clock, switching function, successful answering, the luminous units 1 to 15 can be statically displayed or dynamically displayed in a specific mode, and the configurable display mode can be one or more of static modes 1 to 2 and dynamic modes 1 to 6; in static mode 1, the luminous units 1 to 15 emit light at the same time and can be used for lighting; in static mode 2, the luminous units 1 to 15 display a number from 1 to 87, and when different numbers are displayed, the total area of ​​the luminous units is different, and the lighting brightness is also adjusted accordingly; in dynamic mode 1, the luminous units 1 to 8 or In dynamic mode 2, luminous units 8 to 1 or 8 to 15 light up in sequence, and the Fibonacci spiral is gradually displayed from the outside to the inside; in dynamic mode 3, luminous units 1 to 8 or 15 to 8 go out in sequence, and the Fibonacci spiral disappears gradually from the inside to the outside; in dynamic mode 4, luminous units 8 to 1 or 8 to 15 go out in sequence, and the Fibonacci spiral disappears gradually from the outside to the inside; in dynamic mode 5, luminous units 1 to 15 display numbers 1 to 87 in sequence or reverse order; in dynamic mode 6, luminous units 1 to 15 randomly display all or part of the numbers 1 to 87, and the displayed numbers are switched at specific intervals.

[0016] Beneficial effects achieved by the technical solution of the present invention:

[0017] (1) The electronic clock based on the non-positional plus-counting representation of the Fibonacci spiral in this application is different from both the pointer-type clock based on 60-degree division of the spatial angle and the decimal digital clock based on position weighting. The cumulative sum of the side length values ​​of the luminous units that emit a certain color of light is used to represent numbers, which has the two major characteristics of "non-position" and "plus-counting". First, the angles of the arrangement of the luminous units along the Fibonacci spiral and the distances from the center of the spiral are different. The curvature radius of the spiral increases exponentially with the angle. This layout reflects the mathematical meaning of the Fibonacci sequence, but the represented numbers are independent of the "position" information such as the angle of arrangement of the luminous units and the distance from the center of the spiral. It only depends on the side length value. This is completely different from the traditional pointer-type clock that uses the pointer angle to represent different values. This application belongs to a "non-position" timing method. Secondly, when the present application uses multiple luminous units that emit the same color of light to represent numbers, the size of the number is independent of the "mutual position between the luminous units", which is completely different from the decimal digital clock. For example, if the luminous unit 8 with a side length of 21 and the luminous unit 7 with a side length of 13 on its left emit the same color of light, then the sum of the side lengths of the two should represent the number 34; if the luminous unit 8 with a side length of 21 and the luminous unit 9 with a side length of 13 on its right emit the same color of light, then the sum of the side lengths of the two also represents the number 34; the relative positions of the two luminous units are interchanged, but the number represented remains unchanged; but in a decimal digital clock, displaying the number 2 to the right of the number 1 represents 12, and displaying the number 2 to the left of the number 1 represents 21. Third, the present invention adopts "additive counting" to represent numbers with the sum of the side lengths of multiple luminous units that emit light of the same color; this is significantly different from the "weighted summation" digital representation method in decimal, binary and other multi-base systems, in which the same number has different weights in different positions; and it is significantly different from the "additive and subtractive counting" digital representation method in Roman numerals, in which "the same numbers are written together or the smaller number is to the right of the larger number, and the number represented is equal to the number obtained by adding these numbers; the smaller number is to the left of the larger number, and the number represented is equal to the number obtained by subtracting the larger number." In summary, the "non-positional additive counting" representation method used in this application is convenient and easy to use. It only uses the simple summation of one or several of the 15 unordered numbers, and there is no need to consider the absolute position and relative position relationship of the symbols. It can represent 1440 arbitrary times in a 24-hour system in minutes (or 366 arbitrary dates in days).

[0018] (2) The electronic clock of the present application also has the ability to train mental arithmetic. The sum of the side lengths of all 15 luminous units it contains is 87. Therefore, based on the digital representation method of "addition counting", one or more luminous units of the electronic clock can be combined to represent any number not exceeding 87. The mathematical training function of the present application, based on the above-mentioned electronic clock in daily life, makes children curious about the beauty of mathematics and cultivates their interest in exploring numbers. Then, the user's mental arithmetic ability for addition and subtraction can be trained by answering questions. Training mode 1 requires decomposing a known number into the sum of multiple Fibonacci terms; training mode 2 requires calculating the sum of multiple Fibonacci terms; training mode 3 requires judging whether the sums of two groups of Fibonacci terms are equal.

[0019] (3) The electronic clock of the present application can display the Fibonacci spiral to stimulate children's interest in mathematical exploration; the input unit or communication unit can be used to set the hourly time, preset the alarm, start the time broadcast, turn on the night lighting, and dynamically display; the sound effect unit can also realize the functions of hourly time, timed alarm, voice broadcast of the current time (hour, minute, second) or date (month, day), etc., making one clock multi-purpose. BRIEF DESCRIPTION OF THE DRAWINGS

[0020] Figure 1 Schematic diagram of the structure of an electronic clock based on the non-position-adding counting representation of the Fibonacci spiral according to the present invention;

[0021] Figure 2 A layout diagram of the light-emitting unit and the Fibonacci spiral of the present invention;

[0022] Figure 3 Another layout diagram of the light-emitting unit and the Fibonacci spiral of the present invention;

[0023] Figure 4 This is an embodiment of the present invention using red and green LED lights to form a light-emitting unit to display the time 12:34;

[0024] Figure 5 This is an embodiment diagram of the present invention using yellow and blue LED lights to form a light-emitting unit to display the time 23:59;

[0025] Figure 6 The present invention uses red and green LED lights to form a light-emitting unit, and the red and green light-emitting units represent the month and date respectively, showing an embodiment of December 31st;

[0026] Figure 7 The present invention uses red and green LED lights to form a light-emitting unit. The red and green LED lights light up simultaneously and yellow is used to represent the month and date. Another embodiment of displaying December 31st;

[0027] Figure 8 FIG. 1 is an embodiment of the present invention in which luminous units with side lengths of 2, 5, and 13 are illuminated to represent the number 20;

[0028] Figure 9 In the embodiment of the present invention, the luminous units with side lengths of 3 and 13 emit light of one color to represent the number 16, while the luminous units with side lengths of 1, 2, 5, and 8 emit light of another color to also represent the number 16;

[0029] In the figure: label 1, luminous unit 1; 2, luminous unit 2; 3, luminous unit 3; 4, luminous unit 4; 5, luminous unit 5; 6, luminous unit 6; 7, luminous unit 7; 8, luminous unit 8; 9, luminous unit 9; 10, luminous unit 10; 11, luminous unit 11; 12, luminous unit 12; 13, luminous unit 13; 14, luminous unit 14; 15, luminous unit 15; 16, key or touchpad input unit or communication unit; 17, time / date display control unit; 18, sound effect unit; slash ( / / / / / ) represents red; vertical line (||||) represents blue; dot matrix (····) represents green; grid (####) represents yellow. DETAILED DESCRIPTION

[0030] The following describes the embodiments of the present invention through specific embodiments. Those skilled in the art can easily understand other advantages and effects of the present invention from the contents disclosed in this specification.

[0031] Example 1, as Figure 1As shown, the present invention includes 15 square luminous units with different side lengths for displaying time. The 15 square luminous units are two groups of square luminous units with side length ratios following the Fibonacci sequence. The side length ratios of each group of square luminous units are 1:1:2:3:5:8:13:21. The two groups of square luminous units share the square luminous unit with the largest side length. One group of square luminous units includes luminous units 1 to 8, and the other group of square luminous units includes luminous units 8 to 15. The luminous unit 8 is shared by both groups. The electronic clock uses a non-positional addition counting method to represent the numerical value of time or date. The numerical value is independent of the position of the luminous unit emitting a certain color of light, but is determined by the cumulative sum of the side length values ​​of the luminous units emitting a certain color of light. Square luminous units with different side lengths use light-emitting devices and current-limiting circuits with different powers. Their luminous power is proportional to the square of the side length, making the brightness of each square luminous unit relatively uniform. A white light-homogenizing plate is used on the upper surface of each square luminous unit, which can transmit light of different colors and form a uniform surface light source in the square area. Adjacent square luminous units are separated by opaque materials to prevent the light emitted by the luminous unit from transmitting to other luminous units. Figure 2As shown, the layout of the luminous units and the Fibonacci spiral is centrally symmetrical about the center point of the electronic clock. The luminous units 1 to 8 on the left side are arranged in sequence from luminous unit 1 in a counterclockwise direction to form a Fibonacci spiral, and the luminous units 15 to 8 on the right side are arranged in reverse sequence from luminous unit 15 in a counterclockwise direction to form a Fibonacci spiral. The two Fibonacci spirals intersect at luminous unit 8. The specific arrangement process is as follows: first, determine that the side length of the luminous unit 1 is a, for example, a = 0.5 cm. For the sake of convenience, the specific values ​​are no longer marked in the following embodiments, and those skilled in the art can flexibly adjust according to the size and specification requirements of the actual product; secondly, place the luminous unit 2 with a side length of a on the left side of the luminous unit 1. Since the side lengths of the two are equal, the left edge of the square luminous unit 1 and the right edge of the square luminous unit 2 can completely overlap; thirdly, place the luminous unit 3 with a side length of 2a below the rectangle with a length and width of 2a×a formed by the luminous units 1 to 2. Since the side length of the luminous unit 3 is equal to the sum of the side lengths of the square luminous unit 1 and the square luminous unit 2, the upper edge of the square luminous unit 3 completely overlaps with the lower edges of the square luminous units 1 and 2; fourthly, place the luminous unit 4 with a side length of 3a on the right side of the rectangle with a length and width of 3a×2a formed by the luminous units 1 to 3 ; Fifth, a light-emitting unit 5 with a side length of 5a is placed on the upper side of the rectangle with a length and width of 5a×3a formed by the light-emitting units 1 to 4; Sixth, a light-emitting unit 6 with a side length of 8a is placed on the left side of the rectangle with a length and width of 8a×5a formed by the light-emitting units 1 to 5; Seventh, a light-emitting unit 7 with a side length of 13a is placed below the rectangle with a length and width of 13a×8a formed by the light-emitting units 1 to 6; Eighth, a light-emitting unit 7 with a side length of 13a is placed on the lower side of the rectangle with a length and width of The right side of the 21a × 13a rectangle is fitted with luminous unit 8, with a side length of 21a. Similarly, starting with luminous unit 15, luminous units 14 to 9 are fitted in a counterclockwise order from right to top, left to bottom. Finally, the 34a × 21a rectangle formed by combining luminous units 1 to 8 is fitted with the 21a × 13a rectangle formed by combining luminous units 15 to 9, resulting in a 47a × 21a rectangular electronic clock. This rotating and intersecting arrangement highlights the aesthetic significance of the Fibonacci spiral, while the counterclockwise arrangement of the two groups of luminous units facilitates reading of the values.

[0032] The second embodiment is different from the first embodiment in that the layout of the light-emitting unit and the Fibonacci spiral is bilaterally symmetrical about the center point of the electronic clock. Figure 3As shown, the arrangement of the luminous units 1-8 on the left side is the same as in Example 1. The luminous units 15-8 on the right side are arranged in a counterclockwise direction starting from luminous unit 15 to form a Fibonacci spiral. The two Fibonacci spirals intersect at luminous unit 8. The specific arrangement process is also similar to Example 1, except that on the right side, starting from luminous unit 15, luminous units 14-9 are placed in a clockwise order from right to bottom, left to top. Finally, the rectangle of 34a × 21a formed by luminous units 1-8 is placed together with the rectangle of 21a × 13a formed by luminous units 15-9, to form a rectangular electronic clock of 47a × 21a. This intersecting arrangement of the left and right stacks highlights the symmetry of the two Fibonacci spirals. At the same time, luminous units of the same side length are arranged at the same level, making it easier to read the values.

[0033] In the third embodiment, the two Fibonacci spirals in the first or second embodiment are highlighted, such as Figure 2 Or as shown in 3. The white light-diffusing plates of square luminous units 1-7 and 15-9 are each provided with a quarter-circular arc with a radius equal to the side length of the square. The arc starts at a vertex of the square and ends at a vertex not adjacent to the starting point. The chord corresponding to the arc is the diagonal of the square. The white layer of the light-diffusing plate along this arc is relatively thin, or a transparent frosted surface is used instead of the white layer. When the square luminous units emit light, the arc can display the same color as other areas of the square and also be identified as a contour line with different light transmittance. When the square luminous units 1-7 are arranged along the Fibonacci spiral, by rotating the placement angle of the squares, the arcs on these square luminous units are sequentially connected end to end to form a Fibonacci spiral. Similarly, the arcs on square luminous units 15-9 are sequentially connected end to end to form another Fibonacci spiral. The white light-diffusing plate of square luminous unit 8 is each provided with two quarter-circular arcs with a radius equal to the side length of the square, so that the two Fibonacci spirals intersect. Without affecting the normal reading of the value, the two Fibonacci spiral lines are highlighted. On the one hand, this makes the display more beautiful. On the other hand, the highlighted Fibonacci spiral lines help users quickly locate the value represented by the luminous unit like auxiliary lines.

[0034] like Figure 4As shown, the luminous elements use red and green LEDs. The hours are calculated by summing the side lengths of all luminous elements with red LEDs, ranging from 0 to 23. The minutes are calculated by summing the side lengths of all luminous elements with green LEDs, ranging from 0 to 59. Non-luminous elements do not participate in the calculation of hours or minutes. To display 12:34, the red LEDs in luminous elements 2, 4, and 6 are illuminated, and the green LEDs in luminous elements 8 and 9 are illuminated. The red side length of luminous element 2 is 1, the side length of luminous element 4 is 3, and the side length of luminous element 6 is 8. The sum of their side lengths is 12, representing 12 hours. The green side length of luminous element 8 is 21, and the side length of luminous element 9 is 13. The sum of their side lengths is 34, representing 34 minutes. The red and green colors contrast sharply, making them easy to distinguish and convenient for users to read the hours and minutes.

[0035] Example 4, as Figure 5 As shown, the luminous elements use yellow and blue LEDs. The hours are calculated by summing the side lengths of all luminous elements with yellow LEDs, ranging from 0 to 23. The minutes are calculated by summing the side lengths of all luminous elements with blue LEDs, ranging from 0 to 59. Non-luminous elements are not included in the calculation of hours or minutes. To display 23:59, the yellow LEDs in luminous elements 3, 6, and 7 are illuminated, and the blue LEDs in luminous elements 5, 8, 9, 10, 11, 12, 13, 14, and 15 are illuminated. Among them, the side length of luminous unit 3 emitting yellow light is 2, the side length of luminous unit 6 is 8, and the side length of luminous unit 7 is 13. The sum of their side lengths is 23, representing 23 hours. The side length of luminous unit 5 emitting blue light is 5, the side length of luminous unit 8 is 21, the side length of luminous unit 9 is 13, the side length of luminous unit 10 is 8, the side length of luminous unit 11 is 5, the side length of luminous unit 12 is 3, the side length of luminous unit 13 is 2, the side length of luminous unit 14 is 1, and the side length of luminous unit 15 is 1. The sum of their side lengths is 59, representing 59 minutes. The yellow and blue colors contrast sharply and are suitable for people with red and green color blindness.

[0036] Example 5, as Figure 6As shown, the luminous elements use red and green LEDs. The month is the sum of the side lengths of all luminous elements with red LEDs, ranging from 1 to 12. The day is the sum of the side lengths of all luminous elements with green LEDs, ranging from 1 to 31. Non-luminous elements are not included in the calculation of the month or day. To display December 31st, the red LEDs in luminous elements 2, 4, and 6 are illuminated, and the green LEDs in luminous elements 8, 10, and 13 are illuminated. The red side length of luminous element 2 is 1, the side length of luminous element 4 is 3, and the side length of luminous element 6 is 8. The sum of their side lengths is 12, representing December. The green side lengths of luminous element 8 are 21, the side length of luminous element 10 is 8, and the side length of luminous element 13 is 2. The sum of their side lengths is 31, representing the 31st of the month. The red and green colors contrast sharply and are easy to distinguish, making it easier for users to read the two sets of numbers for the month and date.

[0037] Example 6: Figure 7 As shown, the luminous elements still use red and green LEDs. To distinguish the date display from the time display (for example, 12:31 for the time and December 31 for the date), the hours are still displayed in red and the minutes are still displayed in green, but the date is displayed using yellow, with both red and green LEDs illuminated. When displaying the date, the sum of the side lengths of all illuminated elements on the left side of the electronic clock (illuminating elements 1-6) represents the month, with a range of values ​​from 1 to 12. The sum of the side lengths of all illuminated elements on the right side of the electronic clock (illuminating elements 9-15) represents the day, with a range of values ​​from 1 to 31. For example, to display December 31, the red and green LEDs in luminous elements 2, 4, 6, 9, 10, 11, 12, and 13 illuminate simultaneously, emitting yellow light. Among the luminous units 1-6 on the left, the side lengths of luminous units 2, 4, and 6, where the red and green LEDs are simultaneously illuminated, are 1, 3, and 8, respectively. Their sum is 12, representing December. Among the luminous units 9-15 on the right, the side lengths of luminous units 9, 10, 11, 12, and 13, where the red and green LEDs are simultaneously illuminated, are 13, 8, 5, 3, and 2, respectively. Their sum is 31, representing the 31st of the month. Using yellow to represent the month and day effectively distinguishes the hour and minute without requiring additional light-emitting devices. By simultaneously illuminating the red and green light-emitting devices that display the hours and minutes, yellow can be displayed.

[0038] Example 7, traverses 1440 time points in the range of 0:00 to 23:59 with 1 minute as the unit, and converts the hours and minutes of each time point into two lists. The hour list is the number of each luminous unit that needs to be lit to display the hours; the minute list is the number of each luminous unit that needs to be lit to display the minutes. The luminous units corresponding to the two lists are taken out from all 15 luminous units in sequence to avoid the same luminous unit being repeatedly used to display the hours and minutes. Since all 1440 conversion results are lengthy, the conversion results of the time period from 20:00 to 20:59 are selected as follows. The format of the conversion results is: hour: minute, [hour list]: [minute list].

[0039] 20:0,[2,5,13]:[]

[0040] 20:1,[2,5,13]:[1]

[0041] 20:2,[2,5,13]:[2]

[0042] 20:3,[2,5,13]:[3]

[0043] 20:4,[2,5,13]:[1,3]

[0044] 20:5,[2,5,13]:[5]

[0045] 20:6,[2,5,13]:[3,3]

[0046] 20:7,[2,5,13]:[2,5]

[0047] 20:8,[2,5,13]:[8]

[0048] 20:9,[2,5,13]:[1,8]

[0049] 20:10, [2, 5, 13]: [2, 8]

[0050] 20:11, [2, 5, 13]: [3, 8]

[0051] 20:12, [2, 5, 13]: [1, 3, 8]

[0052] 20:13, [2, 5, 13]:

[13]

[0053] 20:14, [2, 5, 13]: [3, 3, 8]

[0054] 20:15, [2, 5, 13]: [2, 13]

[0055] 20:16, [2, 5, 13]: [8, 8]

[0056] 20：17，[2，5，13]：[1，8，8]

[0057] 20：18，[2，5，13]：[5，13]

[0058] 20：19，[2，5，13]：[3，8，8]

[0059] 20：20，[2，5，13]：[2，5，13]

[0060] 20：21，[2，5，13]：

[21]

[0061] 20：22，[2，5，13]：[3，3，8，8]

[0062] 20：23，[2，5，13]：[2，21]

[0063] 20：24，[2，5，13]：[3，21]

[0064] 20：25，[2，5，13]：[1，3，21]

[0065] 20：26，[2，5，13]：[5，21]

[0066] 20：27，[2，5，13]：[3，3，21]

[0067] 20：28，[2，5，13]：[2，5，21]

[0068] 20：29，[2，5，13]：[8，21]

[0069] 20：30，[2，5，13]：[1，8，21]

[0070] 20：31，[2，5，13]：[2，8，21]

[0071] 20：32，[2，5，13]：[3，8，21]

[0072] 20：33，[2，5，13]：[1，3，8，21]

[0073] 20：34，[2，5，13]：[13，21]

[0074] 20：35，[2，5，13]：[3，3，8，21]

[0075] 20：36，[2，5，13]：[2，13，21]

[0076] 20：37，[2，5，13]：[8，8，21]

[0077] 20：38，[2，5，13]：[1，8，8，21]

[0078] 20：39，[2，5，13]：[5，13，21]

[0079] 20：40，[2，5，13]：[3，8，8，21]

[0080] 20：41，[2，5，13]：[2，5，13，21]20：42，[2，5，13]：[8，13，21]

[0081] 20：43，[2，5，13]：[3，3，8，8，21]20：44，[2，5，13]：[2，8，13，21]

[0082] 20：45，[2，5，13]：[3，8，13，21]

[0083] 20：46，[2，5，13]：[1，3，8，13，21]

[0084] 20：47，[2，5，13]：[5，8，13，21]

[0085] 20：48，[2，5，13]：[3，3，8，13，21]

[0086] 20：49，[2，5，13]：[2，5，8，13，21]

[0087] 20：50，[2，5，13]：[8，8，13，21]

[0088] 20：51，[2，5，13]：[1，8，8，13，21]

[0089] 20：52，[2，5，13]：[2，8，8，13，21]

[0090] 20：53，[2，5，13]：[3，8，8，13，21]

[0091] 20：54，[2，5，13]：[1，3，8，8，13，21]

[0092] 20：55，[2，5，13]：[5，8，8，13，21]

[0093] 20：56，[2，5，13]：[3，3，8，8，13，21]

[0094] 20:57, [2, 5, 13]: [2, 5, 8, 8, 13, 21]

[0095] 20:58, [2, 5, 13]: [3, 5, 8, 8, 13, 21]

[0096] 20:59, [2, 5, 13]: [1, 3, 5, 8, 8, 13, 21]

[0097] Example 8 traverses 366 dates between January 1st and December 31st, with the month and day numbers of each date converted into two lists. The month list contains the numbers of the luminous units that need to be illuminated to display the month number; the day list contains the numbers of the luminous units that need to be illuminated to display the day number. The luminous units corresponding to the two lists are sequentially selected from all 15 luminous units to avoid the same luminous unit being reused to display the month and day numbers. Because the total 366 conversion results are lengthy, the date conversion results for December are selected as follows, listed in the format: month number: day number, [month list]: [day list].

[0098] 12:1,[1,1,2,3,5]:[1]

[0099] 12:2,[1,1,2,3,5]:[2]

[0100] 12:3,[1,1,2,3,5]:[3]

[0101] 12:4,[1,1,2,3,5]:[1,3]

[0102] 12:5,[1,1,2,3,5]:[2,3]

[0103] 12:6,[1,1,2,3,5]:[1,2,3]

[0104] 12:7,[1,1,2,3,5]:[1,1,2,3]

[0105] 12:8,[1,1,2,3,5]:[8]

[0106] 12:9,[1,1,2,3,5]:[1,8]

[0107] 12:10, [1, 1, 2, 3, 5]: [2, 8]

[0108] 12:11, [1, 1, 2, 3, 5]: [3, 8]

[0109] 12:12,[1,1,2,3,5]:[1,3,8]

[0110] 12:13, [1, 1, 2, 3, 5]:

[13]

[0111] 12：14，[1，1，2，3，5]：[1，2，3，8]

[0112] 12：15，[1，1，2，3，5]：[2，13]

[0113] 12：16，[1，1，2，3，5]：[3，5，8]

[0114] 12：17，[1，1，2，3，5]：[1，3，5，8]

[0115] 12：18，[1，1，2，3，5]：[2，3，5，8]

[0116] 12：19，[1，1，2，3，5]：[1，2，3，5，8]

[0117] 12：20，[1，1，2，3，5]：[1，1，2，3，5，8]

[0118] 12：21，[1，1，2，3，5]：

[21]

[0119] 12：22，[1，1，2，3，5]：[1，21]

[0120] 12：23，[1，1，2，3，5]：[2，21]

[0121] 12：24，[1，1，2，3，5]：[3，21]

[0122] 12：25，[1，1，2，3，5]：[1，3，21]

[0123] 12：26，[1，1，2，3，5]：[5，21]

[0124] 12：27，[1，1，2，3，5]：[1，2，3，21]

[0125] 12：28，[1，1，2，3，5]：[2，5，21]

[0126] 12：29，[1，1，2，3，5]：[8，21]

[0127] 12：30，[1，1，2，3，5]：[1，8，21]

[0128] 12：31，[1，1，2，3，5]：[2，8，21]

[0129] Example 9: Switch to training mode 1 and ask to decompose a number into the sum of multiple Fibonacci terms. For example, the question asks to decompose the number 20, such as Figure 8 As shown, the user's answer is correct if he selects a luminous unit with a side length of 13, a luminous unit with a side length of 5, and a luminous unit with a side length of 2.

[0130] Example 10: Switch to training mode 2 and calculate the sum of given Fibonacci terms. Figure 8 As shown, the question lights up a luminous unit with a side length of 13, a luminous unit with a side length of 5, and a luminous unit with a side length of 2, and requires calculating the sum of the Fibonacci terms 13, 5, and 2. The user's answer of 20 is correct.

[0131] Example 11: Switch to training mode 3 and determine whether the sum of two groups of Fibonacci terms is equal. For example, Figure 9 As shown in the question, a luminous unit with a side length of 13 and a luminous unit with a side length of 3 emit light of the same color, while a luminous unit with a side length of 8, a luminous unit with a side length of 5, a luminous unit with a side length of 2 and a luminous unit with a side length of 1 emit light of another color. If the user answers "equal", it is correct.

[0132] In the twelfth embodiment, the mode is switched to lighting mode, and the light-emitting units 1 to 15 can emit light at the same time to provide lighting.

[0133] In a thirteenth embodiment, in specific situations such as power-on self-test, alarm clock, switching function, successful answering of questions, etc., the luminous units 1 to 15 can be dynamically displayed according to certain specific modes; in dynamic mode 1, the luminous units 1 to 8 or 15-8 are lit in sequence, and the Fibonacci spiral is gradually displayed from the inside to the outside; in dynamic mode 2, the luminous units 8 to 1 or 8 to 15 are lit in sequence, and the Fibonacci spiral is gradually displayed from the outside to the inside; in dynamic mode 3, the luminous units 1 to 8 or 15-8 are extinguished in sequence, and the Fibonacci spiral gradually disappears from the inside to the outside; in dynamic mode 4, the luminous units 8 to 1 or 8 to 15 are extinguished in sequence, and the Fibonacci spiral gradually disappears from the outside to the inside; in dynamic mode 5, the luminous units 1 to 15 display the numbers 1 to 87 in sequence or reverse order; in dynamic mode 6, the luminous units 1 to 15 randomly display all or part of the numbers 1 to 87.

[0134] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the embodiments of the present application, rather than to limit them. Although the embodiments of the present application have been described in detail with reference to the above embodiments, ordinary technicians in this field should understand that they can still modify the technical solutions recorded in the above embodiments, or replace some or all of the technical features therein with equivalents. These modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present application.

Claims

1. An electronic clock based on a Fibonacci spiral non-positional counting representation, characterized in that: The electronic clock comprises 15 square luminous units with different side lengths for displaying time. The 15 square luminous units are two groups of square luminous units with side length ratios following the Fibonacci sequence. The side length ratios of each group of square luminous units are 1:1:2:3:5:8:13:

21. One group of square luminous units comprises luminous units 1 to 8, and the other group comprises luminous units 15 to 8. The luminous unit 8 with the largest side length is shared by both groups. The electronic clock uses a non-positional addition counting method to represent the numerical value of time or date. The numerical value is independent of the position of the luminous units emitting a certain color of light, but is determined by the cumulative sum of the side lengths of the luminous units emitting a certain color of light.

2. The electronic clock according to claim 1, wherein: The square luminous units 1 to 8 are arranged along the Fibonacci spiral in the plane space in the order of the side length from small to large. Starting from the square luminous unit 1 with the smallest side length, the square luminous unit 2 is adjacent to the left side of the square luminous unit 1. Since the sides of the two are equal, the left edge of the square luminous unit 1 and the right edge of the square luminous unit 2 can completely overlap. The square luminous unit 3 is adjacent to the lower side of the square luminous units 1 and 2. Since the side length of the luminous unit 3 is equal to the sum of the side lengths of the square luminous unit 1 and the square luminous unit 2, the upper edge of the square luminous unit 3 overlaps with the upper edge of the square luminous units 1 and 2. The lower edges completely overlap; each subsequent square luminous unit is arranged adjacent to each other in a counterclockwise rotation, and the rule that the side length of the subsequent square luminous unit is equal to the sum of the side lengths of the two previous luminous units is used to make the edges of the subsequent square luminous units completely overlap with the edges of the two previous luminous units, and gradually expand outward to form a layout arranged along the Fibonacci spiral; another group of square luminous units 15 to 8 have the same side lengths as the square luminous units 1 to 8, and are symmetrically distributed with the square luminous unit 8 as the center, and their layout is arranged along another Fibonacci spiral.

3. The electronic clock according to claim 2, wherein: The white light-diffusing plates of the square luminous units 1-7 and 15-9 are each provided with a quarter-circular arc with a radius equal to the side length of the square. The arc starts at a vertex of the square and ends at a vertex not adjacent to the starting point. The chord corresponding to the arc is the diagonal of the square. The white layer of the light-diffusing plate along the arc is thinner, or a transparent frosted surface is used instead of the white layer. When the square luminous units are illuminated, the arc can display the same color as other areas of the square and can also be identified as a contour line with different transmittance. When the square luminous units 1-7 are arranged along the Fibonacci spiral, by rotating the placement angle of the square, the arcs on these square luminous units are connected end to end to form a Fibonacci spiral. Similarly, the arcs of the square luminous units 15-9 are connected end to end to form another Fibonacci spiral. The white light-diffusing plate of the square luminous unit 8 is each provided with two quarter-circular arcs with a radius equal to the side length of the square, so that the above two Fibonacci spirals intersect.

4. The electronic clock according to claim 2 or 3, wherein: The 15 square luminous units are all equipped with light-emitting devices of two colors. Each luminous unit can emit light of a certain color, or emit light of another different color, or not emit light. The hours of the electronic clock are the sum of the side lengths of all luminous units that emit a certain color, and the value range is 0 to 23. The minutes of the electronic clock are the sum of the side lengths of all luminous units that emit another color, and the value range is 0 to 59. Non-luminous luminous units do not participate in the calculation of hours or minutes.

5. The electronic clock according to claim 4, characterized in that: A calendar containing month and date information can be displayed, and the display mode that can be set can be one or more of calendar display modes 1, 2 or 3; in calendar display mode 1, the number of months of the electronic clock is the sum of the side lengths of all luminous units that emit light of a certain color, and its value range is 1 to 12; the number of days of the electronic clock is the sum of the side lengths of all luminous units that emit light of another color, and its value range is 1 to 31; non-luminous luminous units do not participate in the calculation of the number of months or days; in calendar display mode 2, the number of months of the electronic clock is the sum of the side lengths of all luminous units in the 7 luminous units (luminous units 9 to 15) on the right side of the electronic clock that are in a luminous state, and its value range is 1 to 12; the number of days of the electronic clock is the sum of the side lengths of all luminous units in a luminous state among the 7 luminous units (luminous units 9 to 15) on the right side of the electronic clock, and its value range is 1 to 12 The period number is the sum of the side lengths of all luminous units in the 7 luminous units (luminous units 1 to 7) on the left side of the electronic clock that are in the luminous state, and its value range is 1 to 31. The non-luminous luminous units do not participate in the calculation of the month number or the day number: In calendar display mode 3, the month number of the electronic clock is the sum of the side lengths of all luminous units in the 7 luminous units (luminous units 1 to 7) on the left side of the electronic clock that are in the luminous state, and its value range is 1 to 12; the day number of the electronic clock is the sum of the side lengths of all luminous units in the 7 luminous units (luminous units 9 to 15) on the right side of the electronic clock that are in the luminous state, and its value range is 1 to 31; the non-luminous luminous units do not participate in the calculation of the month number or the day number.

6. The electronic clock according to claim 5, characterized in that: The invention has a math question answering training function; the selectable training mode can be one or more of the question answering training modes 1, 2 or 3; in the question answering training mode 1, a numerical question not exceeding 87 can be voice broadcasted, and the user selects the luminous unit through the key or touch pad input unit or communication unit so that the cumulative sum of its side length values ​​is equal to the numerical question, then the question is answered successfully, otherwise the question fails, and the answer result is fed back to the user through the sound effect unit or the luminous unit; in the math question answering training mode 2, multiple luminous units can be randomly selected to emit a certain color of light as a question, and the user answers the numerical question corresponding to the question through the key or touch pad input unit or communication unit. If the cumulative sum of the side length values ​​of the luminous units that emit a certain color of light in the question is equal to the number of the answer, the question is answered successfully, otherwise the question is answered unsuccessfully, and the result of the answer is fed back to the user through the sound effect unit or the luminous unit; in the mathematics answering training mode 3, multiple luminous units can be randomly selected to emit a certain color of light to represent the original number, and then multiple other luminous units can be selected to emit another color of light to represent the comparison number. The user judges whether the original number and the comparison number represented are equal through the key or touchpad input unit or the communication unit. If the judgment is correct, the question is answered successfully, otherwise the question is answered unsuccessfully, and the result of the answer is fed back to the user through the sound effect unit or the luminous unit.

7. The electronic clock according to claim 4, 5 or 6, characterized in that: Equipped with a display control unit, which can control the lighting state of each luminous unit according to the time or calendar value to be displayed currently; can match and control whether each luminous unit emits light and what color of light it emits according to any moment in the 1440 time points in the time range of 0:00 to 23:59 to be displayed in units of minutes, and avoid the difficulty in identification caused by the same luminous unit emitting two colors of light at the same time; can match and control whether each luminous unit emits light and what color of light it emits according to any month and day in the 366 dates in the range of January 1 to December 31 to be displayed in units of days according to the set display mode; for the electronic clock described in claim 5, can control whether each luminous unit emits light and what color of light it emits according to the question to be displayed and the state of the answering process.

8. The electronic clock according to claim 7, wherein: Equipped with a sound effect unit; it can ring tone reminders or voice broadcasts at the hour, preset time, current time or current date, or broadcast training questions and answer results.

9. The electronic clock according to claim 8, wherein: Equipped with a key or touchpad input unit or a communication unit; different functions or parameters can be selected through key input, touchpad input or communication module, and hourly time setting information, preset time information, and instructions for broadcasting the current time, or date setting information and "broadcast date" instructions, or answer results, as well as other human-computer interaction content that needs to be input into the electronic clock.

10. The electronic clock according to claim 9, characterized in that: According to the user's key or touchpad input unit or communication unit instructions, or in the specific situations of power-on self-test, alarm clock, switching function, and successful answering of questions, the luminous units 1 to 15 can be statically displayed or dynamically displayed in a specific mode, and the configurable display mode can be one or more of static modes 1 to 2 and dynamic modes 1 to 6; in static mode 1, the luminous units 1 to 15 emit light at the same time and can be used for lighting; in static mode 2, the luminous units 1 to 15 display a number from 1 to 87. When different numbers are displayed, the total area of ​​the luminous units is different, and the lighting brightness is also adjusted accordingly; in dynamic mode 1, the luminous units 1 to 8 or 15 -8 light up in sequence, and the Fibonacci spiral is gradually displayed from the inside to the outside; dynamic mode 2, the luminous units 8 to 1 or 8 to 15 light up in sequence, and the Fibonacci spiral is gradually displayed from the outside to the inside; dynamic mode 3, the luminous units 1 to 8 or 15-8 go out in sequence, and the Fibonacci spiral gradually disappears from the inside to the outside; dynamic mode 4, the luminous units 8 to 1 or 8 to 15 go out in sequence, and the Fibonacci spiral gradually disappears from the outside to the inside; dynamic mode 5, the luminous units 1 to 15 display numbers 1 to 87 in sequence or reverse order; dynamic mode 6, the luminous units 1 to 15 randomly display all or part of the numbers 1 to 87, and the displayed numbers are switched at specific intervals.

Images