|Tiny Tans Trio-in-a-Tray edition|
Here we've combined all the pieces from the three individual Tiny Tans into one large octagon that fits neatly into a 7" framed octagonal tray. Each of the three colors belongs to a different 4-piece puzzle, so you can easily separate them again to solve their challenges. With this Trio in a Tray, we include all three of their pattern cards, plus an extra one for combined figures (shown below).
An exceptionally interesting challenge is to embed in the tray one of the figures from any of the three pattern cards and fit all the other pieces around it. Not all figures are solvable this way. Here are a few. How many more can you identify?
Other interesting visual effects are just waiting to be discovered. Here are some by Kate Jones, Eric Bare and Meshele Merchant, with figures, mirror symmetry and opposite-color symmetry:
Another theme asks for no two of the same color to share sides. It soon became evident that a color-separated solution cannot be symmetrical. The one at right below is as good as it gets.
The group of silhouettes below is just a starter collection of the many symmetrical shapes you can form with all 12 pieces. There are hundreds of other shapes you can make, not using the tray. Be creative. Just remember always to join pieces according to their corresponding lengths of side, as explained for the individual Tiny Tans.
The solution in the tray at the top of this page has some other special properties: no two pieces of the same color share sides (corners are okay), and no two of the same shape are joined. See if you can solve the figures below with either or both of those added conditions. We don't know how many of them are possiblesend us your best results.
Jeffrey Blitt found the second-ever shape- and color-separation solution on May 22, 2015, at our show in Montauk, NY, and won a prize. Here he is with his remarkable, nearly fully symmetrical pattern:
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