CN111402685A - Device for third-order magic cube restoration teaching and training and interaction platform algorithm - Google Patents
Device for third-order magic cube restoration teaching and training and interaction platform algorithm Download PDFInfo
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- CN111402685A CN111402685A CN202010246767.8A CN202010246767A CN111402685A CN 111402685 A CN111402685 A CN 111402685A CN 202010246767 A CN202010246767 A CN 202010246767A CN 111402685 A CN111402685 A CN 111402685A
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B19/00—Teaching not covered by other main groups of this subclass
- G09B19/22—Games, e.g. card games
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- A—HUMAN NECESSITIES
- A63—SPORTS; GAMES; AMUSEMENTS
- A63F—CARD, BOARD, OR ROULETTE GAMES; INDOOR GAMES USING SMALL MOVING PLAYING BODIES; VIDEO GAMES; GAMES NOT OTHERWISE PROVIDED FOR
- A63F9/00—Games not otherwise provided for
- A63F9/06—Patience; Other games for self-amusement
- A63F9/08—Puzzles provided with elements movable in relation, i.e. movably connected, to each other
- A63F9/0826—Three-dimensional puzzles with slidable or rotatable elements or groups of elements, the main configuration remaining unchanged, e.g. Rubik's cube
- A63F9/0838—Three-dimensional puzzles with slidable or rotatable elements or groups of elements, the main configuration remaining unchanged, e.g. Rubik's cube with an element, e.g. invisible core, staying permanently in a central position having the function of central retaining spider and with groups of elements rotatable about at least three axes intersecting in one point
- A63F9/0842—Three-dimensional puzzles with slidable or rotatable elements or groups of elements, the main configuration remaining unchanged, e.g. Rubik's cube with an element, e.g. invisible core, staying permanently in a central position having the function of central retaining spider and with groups of elements rotatable about at least three axes intersecting in one point each group consisting of again a central element and a plurality of additional elements rotatable about three orthogonal axes at both ends, the additional elements being rotatable about at least two axes, e.g. Rubik's cube
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Abstract
The invention aims to provide a device for three-order magic cube restoration teaching and training and an interactive platform algorithm, overcomes the defects of single purpose, single function, poor audience performance, difficulty in disassembly, high cost and the like of the conventional three-order magic cube restoration robot, further fills up the vacancy and the market blank of related products, enables players to accept the teaching and training of the magic cube more easily, and promotes the popularization of the three-order magic cube to the public. The invention comprises two parts, namely a magic cube restoration teaching and training device and a matched interactive platform algorithm.
Description
Technical Field
The invention relates to equipment for learning and training a beginner and a fan of a magic cube, in particular to a device for restoring teaching and training of the magic cube and a matched interactive platform algorithm thereof.
Background
The three-order magic cube has the characteristics of intelligence development, strong handedness, high popularity and the like, but an intuitive and effective mode is not available in the aspect of magic cube restoration teaching and training, so that most players still learn and restore the magic cube by a complex and inefficient method, and the interest of the players is reduced and the players are more likely to give up. Most of the three-order magic cube restoration robots in the market carry out algorithm optimization and product research and development aiming at improving restoration speed, have appreciation, but are not suitable for common players. No relevant equipment and matching algorithm is present at present in the aspect of popularizing the magic cube to the public.
Disclosure of Invention
The invention aims to provide a device for magic cube recovery teaching and training for beginners and fans of the three-order magic cube and a matched interactive platform algorithm thereof, overcomes the defects of single purpose, single function, poor audience performance, difficulty in disassembly, high cost and the like of the existing three-order magic cube recovery robot, further fills up the vacancy of related products and the blank of the market, enables players to accept the teaching and training of the magic cube more easily, and promotes the popularization of the three-order magic cube to the public.
The utility model provides a restore device and mutual platform of teaching and training to third-order magic cube, characterized by: the system comprises a rotatable mechanism type integral support, a detachable motor shell, a hollow pin shaft, a telescopic sleeve shaft, a center connecting block, an image recognition system and a motor regulation and control system, wherein the image recognition system comprises a camera and a micro development board upper computer, and the motor regulation and control system comprises an MCU (microprogrammed control unit), an infrared sensor and a serial port communication module;
but rotary mechanism formula monolith support (18) mainly comprises outer ring (1) that the radius degressive in proper order, middle level ring (2), three ring of inlayer ring (3), wherein outer ring (1) and middle level ring (2), be connected through cavity round pin axle (4) between middle level ring (2) and inlayer ring (3), and two connections are 90 degrees, so that horizontal direction and plummet direction rotation between the adjacent ring are smooth, guarantee to pack up at any time and not occupation space after not using this platform, the three ring mutually perpendicular of monolith support, guarantee that the junction between the three rings is on same axis with the six face centers of magic cube. A hollow pin shaft (4) positioning structure is arranged between the inner side of the middle layer circular ring (2) and the inner layer circular ring (3), so that the position of the hollow pin shaft (4) in the axial direction is determined when the hollow pin shaft rotates, and the stability of the structure is not ensured. When in use, the rotatable mechanism type integral bracket (18) is integrally placed on the trapezoidal cross-shaped base (13). The side surface of the trapezoid cross base (13) supports the camera (17) through a fixing rod piece, and the side surface of the camera (17) is provided with a color comparison card (16).
The detachable shell of motor (5) is the important structure on rotatable mechanism formula monolith support (1), and the total number is six, all is located six tie points of three ring, and wherein, four detachable shells of motor (2) are located four tie points in outer ring (1) outside, and two detachable shells of motor (5) are located two tie points of middle level ring (2) and inlayer ring (3). The structure of the part mainly comprises a motor positioning groove (6) and a motor fixing magnetic sheet (7). The motor positioning groove (6) ensures that the absolute position of the stepping motor (19) on the circular ring is fixed, so that the rotation of the motor and the rotation of the magic cube are more stable. The step motor (19) can be more conveniently and quickly disassembled and assembled by the motor fixing magnetic sheet (7). The other side of the shaft end of the stepping motor (19) is connected with a cross grating code wheel (14), and the cross grating code wheel (14) penetrates through an optical coupler sensor (15).
Telescopic quill (20) have hollow structure and big or small quill nestification altogether three-layer, be outer layer quill (8), middle level quill (9), inlayer quill (10) that the radius reduces in proper order respectively, and its cross section is the closed figure that semi-circular and half regular hexagon enclosed, guarantees at rotatory in-process, can not take place relative rotation between the big or small quill. All there is positioning spring buckle (11) on middle level sleeve shaft (9) and inlayer sleeve shaft (10) of telescopic quill (20), all have locating hole (12) on outer sleeve shaft (8) and middle level sleeve shaft (9), positioning spring buckle (11) can keep bounce-up state and get into locating hole (12) at any time at sleeve slip in-process, make the sleeve can be flexible while with the position chucking and not take place relative displacement, realize six quick dismantlements and the assembly of magic cube. One end of the telescopic sleeve shaft (20) is inserted into the shaft end of the central connecting block (13) in an interference mode, the central connecting block (13) is inserted into the magic cube central block in a transition mode, the other end of the magic cube central block is connected with the shaft coupler (21), and the shaft coupler (21) is connected with the shaft end of the stepping motor (19).
According to the unique determined characteristic of the absolute position relation between each central block and each surface of the magic cube, each unit surface on each surface of the magic cube is converted into two-dimensional array elements, and corresponding meanings of a target array, an adjacent array, a relative array, a target edge block and a target corner block are defined. And the final restoration is completed through a magic cube restoration basic four-step algorithm, namely one-surface one-layer restoration, one-surface two-layer restoration, two-surface two-layer restoration and integral restoration.
The invention aims to provide a device for magic cube recovery teaching and training for beginners and fans of the three-order magic cube and a matched interactive platform algorithm thereof, overcomes the defects of single purpose, single function, poor audience performance, difficulty in disassembly, high cost and the like of the existing three-order magic cube recovery robot, further fills up the vacancy of related products and the blank of the market, enables players to accept the teaching and training of the magic cube more easily, and promotes the popularization of the three-order magic cube to the public. The invention comprises two parts, namely a magic cube restoration teaching and training device and a matched interactive platform algorithm.
Drawings
FIG. 1 is a schematic view of a third-order magic cube rehabilitation teaching and training device of the present invention
FIG. 2 is a schematic view of the rotatable mechanism type integral support of the present invention
FIG. 3 is a schematic view of a detachable housing of the motor of the present invention
FIG. 4 is a schematic view showing the connection between the hollow pin shaft and the stepping motor via the coupling
FIG. 5 is a schematic view of a positioning spring fastener and a positioning hole on a quill of the present invention
FIG. 6 is a schematic diagram of a cross grating code wheel and an optical coupler sensor at the back side of a stepping motor according to the present invention
FIG. 7 is a schematic view of a trapezoidal cross base and a camera according to the present invention
FIG. 8 is a schematic view of a center connection block of the present invention
FIG. 9 is a schematic diagram of the unique determination of the absolute position of the center block according to the present invention
FIG. 10 is a schematic diagram of a target array and a relative array according to the present invention
FIG. 11 is a schematic diagram of a neighboring array according to the present invention
FIG. 12 is a schematic view of a target corner block and a target corner block according to the present invention
FIG. 13 is a schematic diagram of the target array rotated 90 degrees counterclockwise according to the present invention
FIG. 14 is a schematic diagram of the target array of the present invention rotated 90 degrees clockwise
FIG. 15 is a schematic view of the target array rotated 180 degrees according to the present invention
FIG. 16 is a schematic diagram of a cross-shaped prism block of a recovery target array according to the present invention
FIG. 17 is a schematic diagram of a corner block of a recovery target array according to the present invention
FIG. 18 is a schematic diagram of the present invention for restoring neighboring sets of prisms
FIG. 19 is a diagram of a relative array for recovery according to the present invention
FIG. 20 is a diagram illustrating four possible situations in the process of restoring the relative array according to the present invention
FIG. 21 is a schematic diagram of the present invention showing the completion of final reconstitution
Detailed Description
First, the puzzle has a characteristic that the absolute position relationship between each central piece and each surface is uniquely determined, and the characteristic is the most important reference standard for analyzing the puzzle and determining the positions of the edge pieces and corner pieces after the puzzle is in a disorganized state, as shown in the attached fig. 9 of the specification.
According to the characteristic, each unit surface on each surface of the magic cube is converted into a two-dimensional array element, and ① the magic surface needing to be restored firstly is defined as a target array, as shown in the attached figure 10(a) of the specification;
② the adjacent faces of the magic facets that need to be restored first are adjacent arrays, as shown in figure 11 of the accompanying drawings;
③ the opposite faces of the magic side which first needs to be restored are opposite sets, as shown in figure 10(b) of the attached drawings;
④ the prism block which needs to be restored currently on the magic cube surface which needs to be restored currently is the target prism block, as shown in figure 12(a) of the attached drawings of the specification;
④ the corner block needing to be restored currently on the magic cube face needing to be restored currently is the target corner block, as shown in figure 12(b) of the attached drawings of the specification;
secondly, according to the basic characteristics of the magic cube, the rotation of each surface of the magic cube has three conditions:
① are rotated 90 deg. counterclockwise as shown in figure 13 of the drawings attached to this specification;
② are rotated 90 deg. clockwise as shown in figure 14 of the drawings attached to this specification;
③ rotated 180 deg., as shown in figure 15 of the accompanying drawings
For the characteristics of the cube hexahedron and its relative positional relationship, according to all the definitions above, the overall restoration scheme can be determined as follows:
one surface is provided with a layer:
1. the target array cross-shaped prism block is restored, as shown in the attached figure 16 of the specification:
【1】 Traversing all the positions of the target array (the surface to be restored) blocks → arbitrarily selecting one target block 1 → dividing into three cases:
(1) when in the neighbor array of the target array:
<1> on top → rotate the array in which the target ridge is located (clockwise) 90 ° → rotate the adjacent array with the target ridge (clockwise) 90 °;
<2> rotate the adjacent array to the target prism at side → rotate;
<3> below → rotate the array in which the target ridge is located (clockwise) 90 ° → rotate the adjacent array with the target ridge (clockwise) 90 °;
(2) when in the relative array of the target array:
on the opposite → rotate the adjacent array 180 ° to the target prism.
(3) When in the target array:
read target ridge block neighbor array number → rotate target ridge block 1 to the neighbor array corresponding to the target ridge block neighbor array number.
After all the condition judgment and operation in [ 1 ] are completed, executing: read and store the target ridge block neighbor array number → rotate target ridge block 1 to the neighbor array corresponding to the target ridge block neighbor array number.
【2】 Arbitrarily selecting a target prism block 2 → reading the adjacent array number of the target prism block 2 → calling the stored adjacent array number of the last target prism block → determining the space absolute position relationship of the array where the last adjacent array number and the current adjacent array number are located → rotating the current target prism block to the space corresponding position
【3】 And (3) repeating the step (2) until the cross edge blocks of the target array are restored.
The steps in 1 all follow one principle:
① the relative position of the target array cannot be changed during the current rotation of the last target prism.
2. And (3) restoring the target array corner block as shown in the attached figure 17 of the specification:
【1】 Arbitrarily selecting a target corner block → reading two adjacent array numbers of the target corner block → traversing the three array numbers identical to those of the target corner block → determining the array position of the target corner block → rotating the target corner block to a spatially corresponding position
【2】 And (4) repeating the step (1) until all the angle blocks in the target array are restored.
The steps in 2 all follow two principles:
① 1, the relative position of the cross-shaped blocks cannot be changed after each angular block restoring rotation;
② the last target corner block cannot change its relative position in the target array during the rotation.
Two layers are arranged on one surface:
1. in step one, the edge blocks between adjacent arrays of the target array are restored, and in step one, the edge blocks of the opposite array of the target array are not restored in the step, as shown in fig. 18 in the attached drawings of the specification.
【1】 When the target edge block is in the relative array of the target array in the first step → the relative array in the first step is rotated to the position where the array number in the adjacent array of the target edge block is the same as the array number of the adjacent array of the target array, and the adjacent array is defined as the current operation array → the array number of the target edge block in the relative array is read → the clockwise and anticlockwise position relationship between the array number of the target edge block in the relative array and the array number of the corresponding adjacent array is judged → two cases are divided into:
(1) and (3) anticlockwise:
rotating the current operation array (anticlockwise) by 90 ° → rotating the relative array (anticlockwise) by 90 ° → rotating the current operation array (anticlockwise) by 90 ° → rotating the relative array (clockwise) by 90 ° → rotating the current operation array (clockwise) by 90 °
(2) Clockwise:
rotating the current operation array (clockwise) by 90 ° → rotating the relative array (clockwise) by 90 ° → rotating the current operation array (clockwise) by 90 ° → rotating the relative array (counterclockwise) by 90 ° → rotating the current operation array (counterclockwise)
【2】 When the target edge block is adjacent to the target array in the step I → any one of two conditions (1) and (2) in the step I is selected → operation is carried out → judgment is carried out on whether the position of the target edge block is in the relative array of the target array in the step I → if so, all the operations in the step (1) are carried out; if not, continuing to repeat the operation in the step (2) until the position of the target edge block is in the relative array of the target array in the step one.
【3】 Repeating the steps (1) or (2) until all the edges between all the adjacent arrays are completely restored
After the step is finished, judging whether the first step and the second step completely recover the two layers on the two sides → if so, continuing the subsequent operation; if not, returning to the step one, and carrying out the recovery operation again.
Three, two layers on two sides:
1. this step restores the relative array as shown in FIG. 19 of the drawings of the specification.
【1】 Reading the array numbers of all current edge blocks and corner blocks of the relative array → the following three cases are divided:
(1) when the numbers of the groups in the relative arrays are the same and appear in the shape of the figure 20(a) in the specification, the adjacent array where the edge block with the same number exists at the rightmost side in the figure is defined as the number 3 array, and the operation is carried out:
rotating the number 3 array (clockwise) by 90 ° → rotating the opposite array (clockwise) by 90 ° → rotating the number 3 array (counterclockwise) by 90 ° → rotating the opposite array (clockwise) by 90 ° → rotating the number 3 array (clockwise) by 90 ° → rotating the opposite array by 180 ° → rotating the number 3 array (counterclockwise) by 90 ° → judging whether the opposite array is restored at this time → if so, continuing with step four; if not, the operation is repeated in the steps (1), (2), (3) and (4).
(2) When the numbers of the groups in the relative arrays are the same and appear in the shape of fig. 20(b) in the specification, the adjacent array where the edge block with the same number exists at the rightmost side in the figure is defined as a number 3 array, and the operation is performed:
rotating the number 3 array (clockwise) by 90 ° → rotating the opposite array (clockwise) by 90 ° → rotating the number 3 array (counterclockwise) by 90 ° → rotating the opposite array (clockwise) by 90 ° → rotating the number 3 array (clockwise) by 90 ° → rotating the opposite array by 180 ° → rotating the number 3 array (counterclockwise) by 90 ° → judging whether the opposite array is restored at this time → if so, continuing with step four; if not, the operation is repeated in the steps (1), (2), (3) and (4).
(3) When the numbers of the groups in the relative arrays are the same and appear in the shape shown in fig. 20(c) of the specification, the adjacent array where the edge block without the same number of groups is located in the upper and lower arbitrary directions in the figure is defined as number 3 array, and the adjacent array where the edge block with the same number of groups is located in the rightmost direction is defined as number 4 array, and the operation is performed:
rotating the number 3 array (clockwise) by 90 ° → rotating the number 4 array (clockwise) by 90 ° → rotating the opposite array (clockwise) by 90 ° → rotating the number 3 array (counterclockwise) by 90 ° → rotating the opposite array (counterclockwise) by 90 ° → rotating the number 1 array (counterclockwise) by 90 ° → judging whether the opposite array is restored at this time → if yes, continuing with the fourth step; if not, the operation is repeated in the steps (1), (2), (3) and (4).
(4) When the numbers of the groups in the relative arrays are the same and appear in the shape shown in fig. 20(d) of the specification, the adjacent array where the edge block with the same number exists at the bottom in the diagram is defined as number 1 array, and the adjacent array where the edge block with the same number exists at the right side is defined as number 2 array, and the operation is performed:
rotating the number 1 array (clockwise) by 90 ° → rotating the number 2 array (clockwise) by 90 ° → rotating the opposite array (clockwise) by 90 ° → rotating the number 2 array (counterclockwise) by 90 ° → rotating the opposite array (counterclockwise) by 90 ° → rotating the number 1 array (counterclockwise) by 90 ° → judging whether the opposite array is restored at this time → if yes, continuing with the fourth step; if not, the operation is repeated in the steps (1), (2), (3) and (4).
【2】 And repeating the step (1) until all the relative arrays are restored.
【1】 The steps in (1) all follow two principles:
① when the condition of the front sorting in the steps (1), (2), (3) and (4) is judged, the operation is carried out without the condition of the rear sorting in the step (1);
②, after the steps in [ 1 ] are completed each time, the array numbers of the target array, the adjacent array and the opposite array are read again, and the final restoration of the two layers on the two sides is ensured to be completed.
Fourthly, the integral restoration is completed, as shown in the attached figure 21 of the specification:
1. this step restores the third layer of prism blocks and corner blocks between the adjacent array and the opposite array.
【1】 Traversing array numbers → of all the edge blocks and corner blocks in the third layer between the adjacent array and the opposite array → dividing into two cases:
(1) when the corner block number is the same in the same adjacent array, store the array number → rotate the relative array to the position where the corner block number is the same as the adjacent array number → define the adjacent array as array number 1, the adjacent array is counter clockwise 90 ° for array number 2, clockwise 90 ° for array number 3 and operate:
the method comprises the following steps of rotating the number 1 array 180 ° → rotating the number 3 array 180 ° → rotating the number 1 array (counterclockwise) 90 ° → rotating the number 2 array (counterclockwise) 90 ° → rotating the number 1 array (clockwise) 90 ° → rotating the number 3 array 180 ° → rotating the number 1 array (counterclockwise) 180 ° → rotating the number 2 array (clockwise) 90 ° → rotating the number 1 array (counterclockwise) 90 °;
(2) when the corner block number group numbers on the same adjacent array are different, an adjacent array is selected randomly, the adjacent array is defined as the number 1 array, the anticlockwise 90-degree direction of the adjacent array is the number 2 array, and the clockwise 90-degree direction of the adjacent array is the number 3 array, and the operation is carried out:
the method comprises the following steps of rotating the number 1 array 180 ° → rotating the number 3 array 180 ° → rotating the number 1 array (counterclockwise) 90 ° → rotating the number 2 array (counterclockwise) 90 ° → rotating the number 1 array (clockwise) 90 ° → rotating the number 3 array 180 ° → rotating the number 1 array (counterclockwise) 180 ° → rotating the number 2 array (clockwise) 90 ° → rotating the number 1 array (counterclockwise) 90 °;
and (4) continuing to the step (1).
And (3) finishing reading the restoration condition of the overall state of the magic cube after each operation, finishing restoration if the array numbers are all correct, and otherwise, repeating the steps (1) and (2) until final restoration is finished.
Claims (2)
1. A device for magic cube restoration teaching and training is characterized in that: the system comprises a rotatable mechanism type integral support, a detachable motor shell, a hollow pin shaft, a telescopic sleeve shaft, a center connecting block and an image recognition system, wherein the image recognition system comprises a camera and a micro development board upper computer;
the rotatable mechanism type integral support (18) consists of three rings, namely an outer ring (1), a middle ring (2) and an inner ring (3), of which the radiuses are sequentially decreased, wherein the outer ring (1) and the middle ring (2) are connected through a hollow pin shaft (4), and the middle ring (2) and the inner ring (3) are connected at 90 degrees; a hollow pin shaft (4) positioning structure is arranged between the inner side of the middle layer circular ring (2) and the inner layer circular ring (3); when in use, the rotatable mechanism type integral bracket (18) is integrally placed on the trapezoidal cross-shaped base (13); the side surface of the trapezoidal cross base (13) supports a camera (17) through a fixing rod piece, and a color comparison card (16) is arranged on the side surface of the camera (17);
the detachable motor shells (5) are structures on the rotatable mechanism type integral support (1), the total number is six, and the detachable motor shells are respectively positioned on six connecting points of three circular rings, wherein the four detachable motor shells (2) are positioned at four connecting points on the outer side of the outer circular ring (1), and the two detachable motor shells (5) are positioned at two connecting points of the middle circular ring (2) and the inner circular ring (3); the structure of the part mainly comprises 6 motor positioning grooves (6) and 6 motor fixing magnetic sheets (7); the other side of the shaft end of each stepping motor (19) is connected with a cross grating code wheel (14), and the cross grating code wheel (14) penetrates through an optical coupler sensor (15);
the telescopic sleeve shaft (20) has a hollow structure, the large sleeve shaft and the small sleeve shaft are nested into three layers, namely an outer layer sleeve shaft (8), a middle layer sleeve shaft (9) and an inner layer sleeve shaft (10) with sequentially reduced radiuses, and the cross section of the telescopic sleeve shaft is a closed figure surrounded by a semicircle and a half regular hexagon; positioning spring buckles (11) are arranged on a middle-layer sleeve shaft (9) and an inner-layer sleeve shaft (10) of the telescopic sleeve shaft (20), positioning holes (12) are arranged on an outer-layer sleeve shaft (8) and the middle-layer sleeve shaft (9), and the positioning spring buckles (11) can keep a bounce state and enter the positioning holes (12) at any time in the sleeve sliding process; one end of the telescopic sleeve shaft (20) is inserted into the shaft end of the central connecting block (22) in an interference mode, the central connecting block (22) is inserted into the magic cube central block in a transition mode, the other end of the magic cube central block is connected with the shaft coupler (21), and the shaft coupler (21) is connected with the shaft end of the stepping motor (19).
2. A teaching algorithm for use with the apparatus of claim 1, wherein:
according to the unique determined characteristic of the absolute position relation between each central block and each surface of the magic cube, each unit surface on each surface of the magic cube is converted into two-dimensional array elements, and final restoration is completed through a basic four-step algorithm of magic cube restoration, namely one-surface one-layer restoration, one-surface two-layer restoration, two-surface two-layer restoration and integral restoration.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN113870677A (en) * | 2021-08-11 | 2021-12-31 | 杨永顺 | Six-axis magic cube learning machine |
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