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| [[Image:skewbdiamond-2.jpg|frame|right|The Skewb Diamond]]
| | Alyson is what my husband loves to call me but I don't like when people use my complete name. I've usually loved living in Alaska. Since he was eighteen he's been operating as an info officer but he plans on changing it. I am really fond of to go to karaoke but I've been using on new issues lately.<br><br>My weblog: [http://www.herandkingscounty.com/content/information-and-facts-you-must-know-about-hobbies phone psychic] |
| [[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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Alyson is what my husband loves to call me but I don't like when people use my complete name. I've usually loved living in Alaska. Since he was eighteen he's been operating as an info officer but he plans on changing it. I am really fond of to go to karaoke but I've been using on new issues lately.
My weblog: phone psychic