• Q: How to use 12 Pentominoes to cover a cube ?
• Rules: The cubenet must be assembled by 6 congruent shapes , and the 14 vertices of all cubenet superpose with at least one unit square's corner.
• Hints: Try 4460 pcs of 10-ominoes ( no hole ) to connect a cube net and then tiling with 12 pentominoes.
• A: I have found 3 shapes by now. If you find the 4th shape , please send me an E-mail: proteon@ms51.hinet.net

  ---

• Similar question The pentominoes cover a closed surface by my friend Livio Zucca .
• Similar question by Solomon W. Golomb "POLYOMINOES" revised edition , P.136 Appendix B Problem Compendium 23.
• There is an answer Solve problem 23 by Gerard Putter and his mighty Universal Polyomino Solver .

• The first shape is "Z" .
• It is easy to cut and paste for children.
• The total solutions Note 1.1 "Z" shape

• The second one is "Duck" shape.
• The total solutions Note 1.2 "Duck" shape

  ---

• The third shape is a " Left-hand Gun ".
• It is difficult to connect them.
• The total solutions Note 1.3 "Left-hand Gun" shape

這裡有第 4 至 12 級多格骨牌圖樣列表。

List of polyominoes of order 4..12

這裡有第 1至 17 級多格骨牌圖樣列表，及佈滿平面之圖樣，且詳細分類刊出。

Polyomino tiling of orders 1 to 17

以下是本專題得以完成之最大功臣，在此特別致謝。

這就是12片彩色「五格骨牌」，求解JAVA程式，趕緊進去瞧瞧吧！

Happy Pentominoes

• Fig.D copyright by Vincent's pages the excellent one and very much thanks !

• (piece no.) difined by "Gerard's Polyomino Solution Engine" Solve 66
• (6)(7)(8)(10)(11)(12)(13)(14)(15)(17)(19) can folded to cover a cube.
• Reference: "POLYOMINOES" revised edition by Solomon W. Golomb , P.11

• Back Home
• Back to Note 1
• Back to Note 1.1 "Z" shape
• Back to Note 1.2 "Duck" shape
• Back to Note 1.3 "Left-hand Gun" shape