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| [[Image:skewbdiamond-2.jpg|frame|right|The Skewb Diamond]]
| | The writer's title is Christy. Invoicing is my profession. Alaska is the only place I've been residing in but now I'm considering other options. She is truly fond of caving but she doesn't have the time recently.<br><br>Feel free to surf to my webpage - psychic readings online ([http://gcjcteam.org/index.php?mid=etc_video&document_srl=696611&sort_index=regdate&order_type=desc internet]) |
| [[Image:skewbdiamond-3.jpg|frame|right|The Skewb Diamond, slightly twisted]]
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| The '''Skewb Diamond''' is an [[octahedron]]-shaped puzzle similar to the [[Rubik's Cube]]. It has 14 movable pieces which can be rearranged in a total of 138,240 possible combinations. This puzzle is the [[dual polyhedron]] of the [[Skewb]]. | |
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| == Description ==
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| The Skewb Diamond has 6 octahedral corner pieces and 8 triangular face centers. All pieces can move relative to each other. It is a ''deep-cut'' puzzle: its [[Plane of rotation|planes of rotation]] bisect it.
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| It is very closely related to the [[Skewb]], and shares the same piece count and mechanism. However, the triangular "corners" present on the Skewb have no visible orientation on the Skewb Diamond, and the square "centers" gain a visible orientation on the Skewb Diamond. Combining pieces from the two can either give you an unsolvable [[cuboctahedron]] or a [[compound of cube and octahedron]] with visible orientation on all pieces.
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| == Number of combinations ==
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| The purpose of the puzzle is to scramble its colors, and then restore it to its original solved state.
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| The puzzle has 6 corner pieces and 8 face centers. The positions of four of the face centers is completely determined by the positions of the other 4 face centers, and only even permutations of such positions are possible, so the number of arrangements of face centers is only 4!/2. Each face center has only a single orientation.
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| Only even permutations of the corner pieces are possible, so the number of possible arrangements of corner pieces is 6!/2. Each corner has two possible orientations (it is not possible to change their orientation by 90° without disassembling the puzzle), but the orientation of the last corner is determined by the other 5. Hence, the number of possible corner orientations is 2<sup>5</sup>.
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| Hence, the number of possible combinations is:
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| :<math> \frac{4!\times 6!\times 2^5}{4} = 138,240.</math>
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| == See also ==
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| *[[Rubik's Cube]]
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| *[[Pyraminx]]
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| *[[Megaminx]]
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| *[[Skewb]]
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| *[[Dogic]]
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| *[[Combination puzzles]]
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| *[[Mechanical puzzles]]
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| == External links ==
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| *[http://www.jaapsch.net/puzzles/diamond.htm Jaap's Skewb Diamond page]
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| {{Rubik's Cube}}
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| {{toy-stub}}
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| [[Category:Rubik's Cube permutations]]
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| [[Category:Puzzles]]
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| [[Category:Combination puzzles]]
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| [[Category:Mechanical puzzles]]
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The writer's title is Christy. Invoicing is my profession. Alaska is the only place I've been residing in but now I'm considering other options. She is truly fond of caving but she doesn't have the time recently.
Feel free to surf to my webpage - psychic readings online (internet)