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Three-dimensional abacus

An abacus, three-dimensional technology, applied in the field of computing tools, to achieve the effects of easy portability, novel structure and easy maintenance

Inactive Publication Date: 2014-10-08
龙障得
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0003] Although the above-mentioned abacus and applied abacus calculations have a long history and are widely used, they can only perform simple calculations, such as multiplication and division of multi-digit numbers, especially extra-multi-digit numbers (such as the number of digits reaching more than three digits). operations and square root operations are powerless

Method used

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Examples

Experimental program
Comparison scheme
Effect test

example 1

[0066] Calculation Example 1: 7-3-3

[0067] Bead dial: On the 1st gear of the vertical abacus (any gear is optional), dial 7 right black beads, on the -1 gear of the vertical abacus, dial 3 right white beads, and then dial 3 more. See figure 2 .

[0068] Comparing the number of beads in the two levels, if there is one more bead in the first level of the vertical abacus, the calculation result is 1.

example 2

[0069] Calculation Example 2: 7-4-5

[0070] Bead dial: On the 2nd gear of the vertical abacus, dial 7 right black beads, on the -2 gear of the vertical abacus, dial 4 right white beads, and then dial 5. See image 3 .

[0071] Comparing the number of beads in the two levels, there are two more beads on the -2 level of the vertical abacus, and the calculation result is -2.

example 3

[0072] Calculation example 3: 45×32

[0073] rewritten as:

[0074] 32 (multiplier)

[0075] 45 (multiplicand)

[0076] The first digit is: 12 (3×4)

[0077] Bead dial: On the 4th gear of the vertical abacus, dial 3 black beads on the left; Dial 2 grains on one pole and 1 grain on the second pole, that is, record the result as 12. See Figure 4 .

[0078] The second digit is:

[0079] 3 2

[0080] 4 5

[0081] 12 11

[0082] Bead dial: On the 5th gear of the vertical abacus, dial 3 left black beads, on the 4th gear of the vertical abacus, dial 1 left white bead, on the 0, 1, 2, 3, 4 gears of the vertical abacus Dial 2 right black beads, dial 3 right black beads at gear 5, and dial 1 ball on the first rod on the right side of the lower half of the plane abacus, and dial 1 ball on the second rod, that is, record the result as 11. See Figure 5 .

[0083] The third place is:

[0084] 3 2

[0085] 4 5

[0086] 12 11-13

[0087] Bead dial: On the -5 gear of the ver...

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Abstract

The invention discloses a three-dimensional abacus. The three-dimensional abacus also comprises an abacus frame, 20 abacus rods and abacus beads which are contained in a conventional abacus. The three-dimensional abacus is characterized of being comprising a vertical plane abacus and a horizontal plane abacus; the 20 abacus rods are uniformly arranged on the vertical plane abacus from bottom to top; a central beam is used for equally dividing the vertical plane abacus into the left side and the right side; 20-50 abacus beads are arranged on each of the left side and the right side of each abacus rod; the abacus beads on odd abacus rods and the abacus beads on even abacus rods from bottom to top are different in color; 10-20 abacus rods are uniformly arranged on the horizontal plane abacus from right to left; a middle beam is used for equally dividing the horizontal plane abacus into the upper side and the lower side; 9 abacus beads are arranged on each of the upper side and the lower side of each abacus rod; the abacus beads on the upper side and the abacus beads on the lower side are different in color. The three-dimensional abacus can be used for carrying out the operation with big digits, the operation of extraction of a root, the operation of negative numbers and a conventional algorithm; the three-dimensional abacus is novel in structure and convenient to carry; the maintenance is facilitated.

Description

technical field [0001] The invention relates to a computing tool, in particular to a Chinese abacus, and more specifically to a three-dimensional abacus. Background technique [0002] The traditional Chinese abacus is divided into upper and lower sides, with 1 abacus bead on the upper side and 4 abacus beads on the lower side. When used for number calculation, the upper abacus bead represents the number 5, and each of the 4 fabricated abacus beads represents the number 1. Addition, subtraction, multiplication, and division can be performed by changing the position of the abacus beads. [0003] Although the above-mentioned abacus and applied abacus calculations have a long history and are widely used, they can only perform simple calculations, such as multiplication and division of multi-digit numbers, especially extra-multi-digit numbers (such as the number of digits reaching more than three digits). Operations and square root operations are powerless. Contents of the inv...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06C1/00
Inventor 龙障得
Owner 龙障得