Game device

Abstract

The utility model provides a game device which can utilize chess pieces placed on a panel on the lower portion even if the panel is arranged on the upper portion. The game device is provided with a plurality of chess pieces, a first panel on which lattices for placing the chess pieces are formed, and a second panel which can be placed on the first panel and on which a plurality of lattices for placing the chess pieces are formed, and the second panel is configured so that at least the placing place can be changed on the first panel. The game device is used for playing a game using chess pieces placed in a lattice of a first panel and chess pieces placed in a lattice of a second panel, and the lattice of the first panel and the lattice of the second panel are configured so as to overlap each other in the vertical direction when the second panel is present at a predetermined placement site on the first panel, and are configured so as to be stacked on the first panel. In a state in which the lattice of the second panel on which no chess piece is placed and the lattice of the first panel on which the chess piece is placed are vertically overlapped, the type of the chess piece placed in the lattice of the first panel can be identified through the lattice of the second panel.

Description

Technical Field

[0001] The present utility model relates to a game device. Background Art

[0002] Conventionally, a game device has been known which includes a plurality of panels having a square shape and different sizes, and a plurality of pieces of various types that can be visually distinguished from each other (Patent Document 1). According to this game device, a plurality of recesses are formed along the four sides of each panel. And, a plurality of players place pieces in the recesses or move the panels in order, whereby the players compete to continuously arrange their own pieces in a predetermined number.

[0003] According to this game device, since the situation changes every time the panel is moved, an exciting game can be enjoyed.

[0004] Prior Art Documents

[0005] Patent Documents

[0006] Patent Document 1: U.S. Patent Publication No. 2007 / 0187893 A1 Summary of the Utility Model

[0007] However, in the game device of Patent Document 1 described above, the places where pieces can be placed are limited to the periphery of the panel. On top of that, even when a piece is placed on the panel, the piece is hidden when there is a panel above it, and the piece cannot be used in the game.

[0008] The present utility model has been completed in view of this point, and an object thereof is to provide a game device in which pieces placed on a lower panel can be used even when there is a panel above.

[0009] A first means is a game device including a plurality of pieces that can be distinguished from each other, a first panel having grids formed longitudinally and transversely on an upper surface for placing the pieces, and a second panel that can be placed on the first panel and has a plurality of grids formed on a first surface having the same shape as the grids of the first panel for placing the pieces. The second panel is configured to be able to change at least the placement location above the first panel. The game device is for a game using the pieces placed in the grids of the first panel and the pieces placed in the grids of the second panel, and is characterized in that

[0010] the grids of the first panel and the grids of the second panel are configured to overlap vertically when the second panel exists at a predetermined placement location above the first panel, and

[0011] The grids of the first panel and the grids of the second panel are configured such that, in a state where the grids of the second panel where the pieces are not placed overlap vertically with the grids of the first panel where the pieces are placed, the type of the pieces placed in the grids of the first panel can be recognized through the grids of the second panel.

[0012] The second means is based on the first means, and is characterized in that the grid is constituted by a fitting recess in which the piece can be fitted and detached.

[0013] The third means is based on the second means, and is characterized in that the bottom plate of the fitting recess of the second panel becomes an observation window through which the lower part can be visually recognized.

[0014] The fourth means is based on the second means, and is characterized in that a through hole slightly smaller than the piece is formed in the center of the bottom plate of the fitting recess of the second panel.

[0015] The fifth means is based on the fourth means, and is characterized in that the second panel is placed on the first panel so as to be able to be turned over up and down.

[0016] The sixth means is based on the fifth means, and is characterized in that fitting recesses in which the pieces can be fitted and detached are formed on the second surface of the second panel, and the grids for placing the pieces are formed in the same shape as the grids on the first surface, and the bottom plates of the fitting recesses on the second surface are the back surfaces of the bottom plates of the fitting recesses on the first surface.

[0017] The seventh means is based on the sixth means, and is characterized in that the grid is square, the piece is in the shape of a disc, a hemispherical recess opening upward is formed at a portion where the corners of the four fitting recesses in the first panel converge, a spherical portion that seats in the hemispherical recess in a state where the second panel is placed on the first panel is formed on the second panel, and the second panel is configured to be able to horizontally rotate and turn over up and down around the spherical portion that seats in the hemispherical recess.

[0018] The eighth means is based on the seventh means, and is characterized in that a magnet is provided in the hemispherical recess, and a magnetic body attracted by the magnet is provided in the spherical portion.

[0019] According to the first means, when no piece is placed in the grid of the second panel placed on the first panel, and when there is a piece in the grid of the first panel, the type of the piece can be recognized, so that the piece can be used for the game.

[0020] In addition, since the second panel can change the placement state on the first panel, the placement position of the piece placed in the grid of the second panel with respect to the first panel can be changed.

[0021] According to the second means, the grid is composed of fitting recesses, so that the chess pieces can be reliably held in the grid.

[0022] According to the third means and the fourth means, the situation below (presence or absence and type of chess pieces) can be visually read through the observation window or the through hole. In addition, according to the fourth means, the situation below (presence or absence and type of chess pieces) can also be tactually read by touching with the hand.

[0023] According to the fifth means, the second panel can be placed on the first panel so as to be turned upside down. Therefore, by turning over, the placement position of the chess pieces fitted into the fitting recesses on the first surface of the second panel with respect to the first panel can be changed.

[0024] According to the sixth means, the chess pieces fitted into the fitting recesses on the second surface of the second panel can also be used for the game.

[0025] According to the seventh means, the spherical portion can be brought into contact with the hemispherical recess, and the second panel can be moved relative to the first panel. Therefore, the second panel can be prevented from moving relative to the first panel without reason.

[0026] According to the eighth means, the hemispherical recess and the spherical portion are attracted by magnetism. Therefore, the contact state between the hemispherical recess and the spherical portion can be maintained, and the second panel can be simply moved relative to the first panel. BRIEF DESCRIPTION OF THE DRAWINGS

[0027] Figure 1 It is a perspective view showing the usage state of the game device according to the embodiment.

[0028] Figure 2 It is a perspective view separately showing the main constituent parts of the game device.

[0029] Figure 3 It is a perspective view showing the first panel of the game device.

[0030] Figure 4 In (A) is a view showing the first surface of the second panel, Figure 4 In (B) is a view showing the second surface of the second panel.

[0031] Figure 5 It is a top view for explaining the movement of the second panel relative to the first panel.

[0032] Figure 6 It is a cross-sectional view showing the situation where the chess pieces in the fitting recesses on the lower side of the second panel fall into the first fitting recesses on the first panel.

[0033] Figure 7This is a diagram showing the change in the positional relationship of the second fitting recess when the second panel is horizontally rotated relative to the first panel.

[0034] Figure 8 This is a diagram showing the change in the positional relationship of the third fitting recess when the second panel is turned upside down relative to the first panel.

[0035] Figure 9 This is a perspective view of various game pieces.

[0036] Figure 10 In (A), it is a perspective view showing three faces of the die. Figure 10 In (B), it is a perspective view showing the other three faces of the die.

[0037] Explanation of reference numerals

[0038] 10: First panel;

[0039] 10b: First fitting recess;

[0040] 10c: Seat part;

[0041] 20a: Second fitting recess;

[0042] 20b: Third fitting recess;

[0043] 20c: Bottom plate;

[0044] 20d: Through hole (observation window);

[0045] 20e: Spherical part;

[0046] 30: Game piece;

[0047] 40: Die. Detailed implementation manners

[0048] Hereinafter, embodiments of the present utility model will be described based on the accompanying drawings.

[0049] 《Structure》

[0050] Figure 1 This is a perspective view showing the usage state of the game device 100 according to the embodiment. Figure 2 This is a perspective view separately showing the main constituent components of the game device 100.

[0051] The game device 100 includes a first panel 10, a second panel 20, game pieces 30, and a die 40. This game device 100 is used for, for example, "Gobang game".

[0052] (First panel 10)

[0053] Figure 3 It is a perspective view of the first panel 10.

[0054] The first panel 10 is made of plastic and is formed to be square in plan view, and the edge portion 10a in plan view is an inclined surface that slopes downward.

[0055] On the upper surface of the first panel 10, square and identically sized first fitting recesses 10b (only a part is indicated in the figure) are formed at eight equal intervals in both the vertical and horizontal directions. The first fitting recesses 10b serve as grids for placing the chess pieces 30. The depth of the first fitting recess 10b is smaller than the thickness of the chess piece 30. By doing so, it is easy to take out the fitted chess piece 30.

[0056] In addition, a seat portion 10c having a short cylindrical shape and a hemispherical recess formed on the upper surface is formed at the center of the upper surface of the first panel 10. Specifically, at the center of the first panel 10, the seat portion 10c is formed at the position where the corners of the four first fitting recesses 10b meet. A magnet (not shown) is provided in the seat portion 10c.

[0057] Furthermore, the formation area of the first fitting recesses 10b of the first panel 10 is divided into four areas, and marks of +, 〇, △, or □ are marked on the first fitting recesses 10b according to the areas. This mark can be used as a mark when rotating the second panel 20 relative to the first panel 10, or as a mark when placing the chess piece 30 in the second game described later.

[0058] (Second panel 20)

[0059] Figure 4 Among them, (A) is a view showing the first surface (A surface) of the second panel 20. Figure 4 Among them, (B) is a view showing the second surface (B surface) of the second panel 20.

[0060] The second panel 20 is made of plastic and is formed to be square in plan view. The size of the second panel 20 is one - quarter of the formation area of the first fitting recesses 10b of the first panel 10.

[0061] On the first surface of the second panel 20, second fitting recesses 20a having the same shape as the first fitting recesses 10b are formed at four equal intervals in both the vertical and horizontal directions (only a part is indicated in the figure). The second fitting recesses 20a serve as grids for placing the chess pieces 30. The depth of the second fitting recess 20a is smaller than the thickness of the chess piece 30. By doing so, it is easy to take out the fitted chess piece 30.

[0062] In addition, on the second surface of the second panel 20, third fitting recesses 20b having the same shape as the second fitting recess 20a are formed at equal intervals vertically and horizontally (only a part is indicated in the figure), and the third fitting recesses 20b serve as grids for placing the chess pieces 30. The third fitting recesses 20b are formed on the front and back of the second fitting recess 20a. The depth of the third fitting recess 20b is smaller than the thickness of the chess piece 30. By doing so, it is easy to take out the fitted chess piece 30.

[0063] The second fitting recess 20a and the third fitting recess 20b share a bottom plate 20c (only a part is indicated in the figure). A circular through hole 20d slightly smaller than the diameter of the chess piece 30 is formed at the center of the bottom plate 20c (only a part is indicated in the figure). The second fitting recess 20a and the third fitting recess 20b communicate with each other through the through hole 20d. As a result, the lower side of the through hole 20d can be visually recognized through the through hole 20d, and as Figure 6 shown, the chess piece 30 in the fitting recess on the lower side of the second panel 20 can be dropped into the first fitting recess 10b of the first panel 10 with a finger passing through the through hole 20d.

[0064] A spherical portion 20e having the same diameter as the hemispherical recess of the seat portion 10c is formed at a corner of the second panel 20. An iron ball (not shown) serving as a magnet is formed inside the spherical portion 20e. As a result, the hemispherical recess of the seat portion 10c and the spherical portion 20e are attracted to each other by the magnetism acting between the magnet and the iron ball.

[0065] In addition, a pinch piece 20f is formed on the second panel 20. The pinch piece 20f is formed across two sides that converge at the diagonal of the seat portion 10c. Then, by pinching the pinch piece 20f with a finger, the hemispherical recess and the spherical portion 20e are brought into contact, and Figure 5 shown, the second panel 20 can be horizontally rotated or turned over up and down with respect to the first panel 10.

[0066] Figure 7 It is a diagram showing the position change of the second fitting recess 20a on the first surface (A surface) of the second panel 20 when the second panel 20 is horizontally rotated with respect to the first panel 10. In this figure, reference numerals A1 to A16 are assigned to each fitting recess in order to distinguish the second fitting recess on the first surface. Now, assume that the second panel 20 exists in the + region of the first panel 10. At this time, the fitting recesses A1 to A16 on the second panel 20 are in the positional relationship as shown in the upper left figure of this figure. When the second panel 20 is rotated to the 〇 region (90 degrees), the △ region (180 degrees), and the □ region (270 degrees), the fitting recesses A1 to A16 are respectively in the positional relationships as shown in the upper right figure, the lower right figure, and the lower left figure of this figure.

[0067] In addition,Figure 8 in (A) to Figure 8 In Figure 8 , (D) is a view showing the second panel 20 turned upside down relative to the first panel 10. In other words, it is a view showing the positional change of the third fitting recess 20b on the second surface (B surface) of the second panel 20 when it rotates or folds back in this case. In this figure, reference numerals B1 to B16 are assigned to each fitting recess in order to distinguish the third fitting recess 20b on the second surface. The fitting recesses B1 to B16 are located on the back side of the fitting recesses A1 to A16.

[0068] Now, assume that the second panel 20 exists in the + region of the first panel 10. At this time, the fitting recesses A1 to A16 on the second panel 20 are in the positional relationship as shown in the left figure of this figure. When the second panel 20 is turned with the spherical portion 20e seated on the seat portion 10c so as to overlap the + region, 〇 region, △ region, and □ region, the fitting recesses B1 to B16 become the positional relationships as shown in (A) to (D) of this figure.

[0069] From the above, it can be seen that by horizontally rotating or turning the second panel 20 upside down relative to the first panel 10, the combination of the fitting recesses arranged in the height direction or the arrangement of the fitting recesses on the plane can be changed. This means that by rotating or turning the second panel 20 relative to the first panel 10, the arrangement change in the plan view of the chess piece 30 can be changed.

[0070] (Chess piece 30)

[0071] Figure 9 is a perspective view showing the chess piece 30.

[0072] The chess piece 30 is made of plastic and is formed in a disc shape. The chess piece 30 can be fitted into and detached from the first fitting recess 10b, the second fitting recess 20a, and the third fitting recess 20b.

[0073] Here, four types of chess pieces 30 are used. As the four types of chess pieces 30, at least chess pieces with different colors or patterns on the main surface of the chess piece 30 that can be easily visually recognized are used. For example, four types of chess pieces 30 in red, blue, green, and yellow are used. In this figure, the chess pieces 30 are marked with +, △, □, and 〇 in accordance with red, blue, green, and yellow. In fact, if the chess pieces 30 are marked with colors such as red, blue, green, and yellow, the marks +, △, □, and 〇 may not be marked. In addition, if the marks +, △, □, and 〇 are marked, the colors can be the same.

[0074] In addition, a claw hole 30a is formed in the chess piece 30, and the claw hole 30a is used to hook the claw when the chess piece 30 is detached from the first fitting recess 10b, the second fitting recess 20a, and the third fitting recess 20b.

[0075] In addition, the number of various chess pieces 30 is the number that enables two to four players to play Gobang. For example, forty chess pieces of various colors are prepared respectively. In addition, the front and back surfaces of the chess pieces 30 have the same color and pattern.

[0076] (Dice 40)

[0077] Figure 10 In (A) of Figure 10 , it is a three-dimensional view showing three faces of the dice 40. Figure 10 In (B) of Figure 10 , it is a three-dimensional view showing the other three faces of the dice 40.

[0078] The dice 40 is used in the second game described later. On each face of the dice 40, there is shown an action (game action) that the player should perform in the game. Specifically, on four faces of the dice 40, marks of +, △, □, and 〇 corresponding to one of the colors red, blue, green, and yellow are marked. In addition, on the remaining two faces, arrows indicating the rotation direction of the second panel 20 are marked.

[0079] For example, in this dice 40, if any of the marks of +, △, □, and 〇 appears, the chess piece 30 is fitted into the first fitting recess 10b of the region corresponding to the rolled number on the first panel 10. At this time, when the second panel 20 is located in this region, the chess piece 30 is fitted into the second fitting recess 20a or the third fitting recess 20b located on the upper surface side of the second panel 20.

[0080] 《Gameplay》

[0081] (First Game)

[0082] The players compete as follows: Each game action is performed in turn at will, and in a top-down view, five of their own chess pieces 30 are arranged continuously vertically, horizontally, or diagonally.

[0083] (1) The game action is selected from the following four of a to d and performed.

[0084] a. Fit one of one's own chess pieces 30 into an empty fitting recess of the first panel 10 or the second panel 20. When the first panel 10 and the second panel 20 overlap, it can be fitted into the fitting recess on the upper surface side of the second panel 20, but it cannot be fitted into the lower fitting recess even if there is a vacancy.

[0085] b. When only a chess piece 30 is fitted into the fitting recess on the lower surface side of the second panel 20, the chess piece 30 is fitted into the vacant first fitting recess 10b below it by pressing the chess piece 30 from the through hole 20d. In this case, the player can use a finger or a held chess piece 30 to drop the chess piece 30 (see Figure 6 )

[0086] c. Horizontally rotate the second panel 20 90 degrees, 180 degrees, or 270 degrees clockwise or counterclockwise from the current position.

[0087] d. Flip the second panel 20 vertically in this case ( Figure 8 in (A) of this). In this case, the second panel 20 can be folded back and flipped vertically as in Figure 8 in (B) to Figure 8 in (D) of this.

[0088] (2) Then, at the moment when the player has finished the game action, when five same - colored game pieces 30 are arranged continuously in a row, column, or diagonal, the player corresponding to the game pieces 30 of that color wins. In this case, it is judged whether five same - colored game pieces 30 are arranged in a row, column, or diagonal by whether the game pieces 30 can be visually recognized from above. At the position where the second panel 20 is placed on the first panel 10, except for the case where the game piece 30 is fitted into the fitting recess (the second fitting recess 20a or the third fitting recess 20b) on the upper surface of the second panel 20, the game pieces 30 that can be visually recognized through the through - hole 20d of the fitting recess are also counted.

[0089] (Second game)

[0090] In a top - down view, competing to arrange five of one's own game pieces 30 continuously is the same as in the first game, but it is different from the first game in that the player rolls the die 40 and plays according to the die roll.

[0091] (1) The participating players take turns rolling the die 40 and play according to the rolled points. When the points on the die 40 are +, △, □, 〇, place a game piece 30 in that area. Also, in the case of an arrow, rotate the second panel 20 90 degrees in the direction of the arrow.

[0092] (2) At the moment when the player has performed the game action, when five same - colored game pieces 30 are immediately arranged continuously in a row, column, or diagonal, the player corresponding to the game pieces 30 of that color wins. In this case, the judgment of whether five same - colored game pieces 30 are arranged in a row, column, or diagonal is carried out in the same way as in the first game.

[0093] "Effects of the Embodiment"

[0094] In the game device 100 with such a structure, the following effects can be obtained. According to the game device 100, even when the fitting recess on the upper surface side of the second panel 20 placed on the first panel 10 does not fit a chess piece, and there is a chess piece in the fitting recess below the through hole 20d, the chess piece can be visually recognized through the through hole 20d, so that the chess piece 30 can be used for the game.

[0095] In addition, the state in which the second panel 20 is placed on the first panel 10 can be changed, so that the placement position of the chess piece 30 fitted in the fitting recess of the second panel 20 with respect to the first panel 10 can be changed.

[0096] In addition, the bottom plate 20c of the second panel 20 forms the through hole 20d, so that the chess piece 30 located on the lower surface side of the second panel 20 can be dropped into the lower first fitting recess 10b by using the through hole 20d.

[0097] Furthermore, the second panel 20 can be placed on the first panel 10 so as to be turned upside down, so that the placement position of the chess piece 30 fitted in the second fitting recess 20a with respect to the first panel 10 can be changed by turning.

[0098] In addition, the spherical portion 20e is brought into contact with the hemispherical recess, and the second panel can be moved relative to the first panel, so that the second panel 20 can be prevented from moving relative to the first panel 10 without reason.

[0099] Furthermore, the hemispherical recess and the spherical portion 20e are attracted by magnetism, so that the contact state between the hemispherical recess and the spherical portion 20e can be maintained, and the second panel 20 can be moved relative to the first panel 10 simply.

[0100] <<Modification Example>>

[0101] The embodiments of the present invention have been described above, but the present invention is not limited to these embodiments and can be variously modified.

[0102] For example, in the above embodiment, the second panel 20 has been rotated or turned upside down, but the second panel 20 may be slid horizontally and vertically, or the placement position of the second panel 20 on the first panel 10 may be freely moved only.

[0103] In addition, in the above embodiment, the through hole 20d is provided in the second panel 20 as an example of the observation window, but the bottom plate 20c may also be transparent.

[0104] In addition, in the above-described embodiment, the second panel 20 is square, but it may also be in a strip shape or a curved shape. In short, when the second panel 20 is placed on the first panel 10, at a predetermined placement position, the fitting recess of the second panel 20 overlaps with a part of the first fitting recess 10b of the first panel 10, and the first fitting recess 10b other than this extends beyond the outside of the second panel 20 so that the game piece 30 can be fitted.

[0105] In addition, in the above-described embodiment, the "Gomoku" game is cited as the game executed by the game device 100, but it can also be applied to games such as a battle formation game in which the outcome is determined by the arrangement of the game pieces 30.

[0106] In addition, in the above-described embodiment, the types of the game pieces 30 are visually recognized, but marks that can be recognized by touch may be engraved on the front and back surfaces of the game pieces 30 so that visually impaired persons can also enjoy the game. For example, a three-dimensional mark may be provided so that the marks +, Δ, □, and ○ of the game pieces 30 can be recognized by the touch brought by touching with the hand. Alternatively, it may be Braille.

[0107] Furthermore, in the above-described embodiment, the first fitting recess 10b, the second fitting recess 20a, and the third fitting recess 20b are square, and the game piece 30 is in a disc shape, but if they are shapes that can be fitted to each other, they are not limited to this.

[0108] In addition, in the above-described embodiment, the game piece 30 is fitted into the fitting recess, but it may also be a structure in which the game piece is placed on a grid. However, in this case, the game piece is placed only on one side of the second panel 20 without turning the second panel 20 upside down.

[0109] In addition, in the above-described embodiment, the first fitting recess 10b is marked with +, ○, Δ, or □, and the four faces of the die 40 are marked with +, Δ, □, and ○, and the remaining two faces of the die 40 are marked with arrows indicating the rotation direction of the second panel 20. However, a general die marked with 1 to 6 on six faces can also be used to play the game. If the first fitting recess 10b is marked with 1 to 4 instead of +, ○, Δ, or □, and the die is rolled and a number from 1 to 4 appears, the game is played in the same way as with +, ○, Δ, or □. If a number 5 or 6 appears, the second panel 20 can be rotated at a predetermined angle, or the second panel 20 can be turned over in that case. Alternatively, the rotation and turning over can be combined to move the second panel 20. In addition, the movement mode of the second panel 20 can be changed with the numbers 5 and 6.

Claims

1. A game device comprising a plurality of chess pieces that can identify each other, a first panel having grids formed vertically and horizontally on its upper surface for placing the chess pieces, and a second panel that can be placed on the first panel and has a plurality of grids formed on its first surface for placing the chess pieces in the same shape as the grids of the first panel, the second panel being configured so that at least a placement location on the first panel can be changed, the game device being used for a game played using the chess pieces placed on the grids of the first panel and the chess pieces placed on the grids of the second panel, characterized in that: The grid of the first panel and the grid of the second panel are configured to overlap each other vertically when the second panel is present at a predetermined placement position on the first panel, and The grids of the first panel and the grids of the second panel are configured so that, when the grids of the second panel where the chess piece is not placed overlap the grids of the first panel where the chess piece is placed, the type of the chess piece placed on the grid of the first panel can be identified through the grids of the second panel.

2. The game device according to claim 1, characterized in that: The grid is composed of a fitting recess into which the chess piece can be fitted and detached.

3. The game device according to claim 2, characterized in that: The bottom plate of the fitting recess of the second panel serves as an observation window through which downward direction can be visually recognized.

4. The game device according to claim 2, characterized in that: A through hole slightly smaller than the chess piece is formed at the center of the bottom plate of the fitting recess of the second panel.

5. The game device according to claim 4, characterized in that: The second panel is placed on the first panel in an upside-down manner.

6. The game device according to claim 5, characterized in that: A fitting recess for the chess piece to be fitted in and out of is formed on the second surface of the second panel, and the chess piece is placed in a grid having the same shape as the grid on the first surface. The fitting recess on the second surface uses the back side of the bottom plate of the fitting recess on the first surface as a bottom plate.

7. The game device according to claim 6, characterized in that: The grid is square, the chess pieces are disc-shaped, a hemispherical recess opened at the top is formed at the portion where the corners of the four engaging recesses in the first panel converge, a spherical portion is formed on the second panel that sits on the hemispherical recess when placed on the first panel, and the second panel is configured to be horizontally rotated and flipped up and down with the spherical portion seated on the hemispherical recess as the center.

8. The game device according to claim 7, characterized in that: A magnet is provided in the hemispherical recessed portion, and a magnet attracted by the magnet is provided in the spherical portion.

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