Shortcut back to Sextillions Special solutions: Sextillions



The solutions below were sent to us by Jack Wetterer, associate professor of physics at the US Air Force Academy and a big fan of polyomino and polycube sets. Professor Wetterer liked the way we package Heptominoes as a three-part rectangle and worked out a couple of three-rectangle divisions for Sextillions. Notice that the middle ones have a hole that's the shape of one of the pieces.

Jack also liked our star-shape design for Poly-5 and built an even larger one with the combined sets, with co-solver Chris Patterson. Enjoy!

Three 6x12 rectangles, with the 11 unequal pieces all together in the center enclosing a hole like one of their own. Three 9x8 rectangles, with a symmetrical center hole. A PolyStar with the combined Poly-5 and Sextillions set, going outward from smallest to largest.


Later we received this awesomely symmetrical solution from Darian Jenkins. He tells us that he used Gerard's Universal Polyomino Solver to find all 4579 solutions to the pentomino-tetromino part. The hexomino part has over 20,000 solutions!
A PolyStar with the combined Poly-5 and Sextillions set, with concentric symmetry.

Another time, Jack Wetterer sent us these two rectangular solutions that allow division of the Sextillions set into 3 subrectangles, with the 12 "unequal" pieces all contained in one group. Jack custom-ordered these in the color divisions you see here, to match the style of his Heptominoes and Octominoes.

Sextillions solution by Jack Wetterer, showing 3 subrectangles, 8x9, by color     Sextillions solution by Jack Wetterer, showing 3 subrectangles of 6x12, by color



Back to Sextillions Back to Sextillions
©1998-2009 Kadon Enterprises, Inc.