Special solutions:   Heptominoes plus


Inspired by the star-shaped Poly-5 pattern, Jack Wetterer sent us this amazing star-shaped solution he found of the combined Poly-5, Sextillions and Heptominoes pieces — all the polyomino shapes from 1 through 7 nested by size. All we could say was "Wow!"



Karl Wilk of Ontario, Canada, created this stunning "Pentomino Clock" pattern, where the 12 pentominoes represent the numbers on a clock. Notice how closely Karl managed to have the embedded pentominoes even look like the numerals they are to represent, or their initials, like T for twelve, N for nine, and V for Roman numeral 5 and X for Roman numeral 10. The concentric rings ascend from orders 1 through 4, then the 35 hexominoes ringed by 107 heptominoes. The 108th heptomino, the one with a hole, is nestled at the very center. Karl's solution won the Gamepuzzles Annual Pentomino Excellence award for 2007.

In June 2008, Karl presented us with this even larger pentomino clock, where he has added a symmetrical outer ring of 363 octominoes, with the 6 "hole-y" octominoes forming a lovely filigree design at the center. This tour de force is not just a solving feat but a major work of artistry. Congratulations, Karl!



Mr. Wen-Hsien Sun, creator of the Chiu Chang Mathematics Foundation of Taiwan, and a great fan of Kadon products, sent us this fabulous construction. Each of the 108 Heptominoes pieces is modeled in a triple-enlarged form, each consisting of a different arrangement of the 12 pentominoes plus a tromino. A total of 1404 pieces are needed for the full composition. Whew!



Karl Wilk sent us this unbelievable "Cyclops" pattern, where all the polyominoes 1 through 9 (1818 pieces!) form concentric rings. The 9's ("enneominoes") alone consist of 1285 distinct shapes, 36 of which contain a hole of one unit square, and one piece encloses a 2-unit hole. It took Karl six weeks and one and a third pencils to solve just the "9" ring, and over 10 weeks for the whole pattern... by hand! Note how he has even the holes symmetrically arranged. We dedicate this achievement to the memory of Arthur C. Clarke, who passed away on March 18, 2008, and who had shared his polyomino passion with the world since 1976. Behold and be astonished:

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