|Ten-Yen: the enclosure challenge|
|Here is a different sort of challenge. Any one colorthe U, T and Z groupscan be enclosed with the other two colors. The enclosure must be complete, the sides fully closed, not just by corners. This is an example of incomplete enclosure:
Below are examples of full enclosures for each of the three color groups. The T and U group show a perimeter of 28 units; the Z group has a 26. Can you do better? What's your shortest perimeter? Since it is not possible to enclose a group and have all pieces fit within their 6x6 tray, we know that 26 is the minimum. If you find a minimum enclosure for any of the 3 groups different from these, send us your solution and we'll add your results here.
In October 2014, Robert Vermillion was the first to find minimum enclosures for the U and T groups and won a prize:
And he did us one better by enclosing the Z group with all colors joined:
George Sicherman explored the other extremeenclosures with the longest perimeter, and with colors grouped to boot. Here are his first two results, a 32-surround for the Z group, and an incredible 34-surround for the T group. We're still waiting to find one for the U group.
Send your solutions to: Enclosure.
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