some neat patterns
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Triangoes Jr.: some neat patterns
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  Here is just a small sampling of the octagonal patterns you can make with the Triangoes Jr. set. Some have diagonal symmetry, some have vertical symmetry, and some even have "rotational" symmetry. Notice that in some designs the two colors are opposite each other, like figure and ground or yin and yang. Those are some of the most challenging images you can create with Triangoes Jr. And there are hundreds of other shapes to make.  Solvers of the above patterns include Jason Garcia (right), Manuel Garcia, Kate Jones, Tom Rankin and Joyce Deitschmann.Two of the patterns above have each color forming a single connected area, and both colors are the same shape. In a contest offered by the Dutch puzzle journal, Cubism For Fun, more such congruent color solutions were discovered by Paul van Leeuwen, Helmut Postl, Franz-Josef Schulte and Christian Halberstadt. The first one was discovered also about 10 years earlier by Andy Liu. Here they are:  If you find any new patterns for this group, let us know!  Another challenge is forming two mini-octagons simultaneously. This pair has similar but opposite color patterns and maximizes one color. Too bad their borders can't be all the same color. There are many other variations. Creating opposite-color designs like these is tricky.Jack Heaney, a friend, customer and long-time puzzle lover, has found an amazing yin-yang color solution to the pairs challenge. It's posted on his webpage, Polyanimals. Jack also proved the pair can't be solved with color-matching, either. |
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