Magic Ball (Soccer Ball) Torsten Sillke, 1999-02-13 Brevettato in tutto il Mondo, 1990 Coffee Break (R) by Francesco Gorio (C) S. A. R. A. Brescia Italy A tiling game with 20 regular hexagons and 12 regular pentagons. Pieces: +-1-+ + + 0 0 0 0 1 1 10* + + 3* + + 3* + + 1 1 1 1 0 0 +-1-+ +-1-+ +-1-+ +-0-+ + + 1 1 1 1 0 0 10* + + 3* + + 3* + + 0 0 0 0 1 1 +-0-+ +-0-+ +-0-+ Note that the lables of all pieces are symmetric. A pentagon cannot have asymmetric numbering with two numbers. Matching condition: different numbers match A symmetric solution: *-------*-------*-------* / 1 | 0 | 1 \ /0 0|1 1|0 0\ / | | \ * * * * | / \ / \ | |1 0/1 0\1 0/1 1\0 1| | 0 / \ / \ 0 | *-------* X *-------* | 1 | | | 1 | |0 1|0 0|1 0|1 0| | | | | | * * * * * / \ / \ / \ / \ / \ /1 0\1 0/1 0\1 0/1 1\0 1/0 1\0 1/0 1\ / \ / \ / \ / \ / \ * * * * * * | | | | | | |0 1|0 1|0 0|1 0|1 0| | | | 0 | | | * * *-------* * * \ / \ / 1 \ / \ / \1 1/0 1\0 0/1 1\0 0/1 0\1 1/ \ / \ / \ / \ / * * * * \ \ / / \ 1\0 0/1 / \0 \ 1 / 0/ \ *-------* / \ / 0 \ / \ 1/0 0\1 / \ / \ / * * \ / \1 1/ \ 0 / *-------* One halve of a solution with an alternating boarder. This halve has an almost left-right symmetry of the lables. The only exception are the edges meeting at point 'X'. This defect of symmetry cannot avoided. You get the other halve by interchanging 0 and 1.