Print-It-Yourself Puzzles

Currently Playing: Iwahnary - Why are both puzzle phinary, but one takes many more moves to solve?

Print it yourself at https://oskarvandeventer.nl/Print-It-Yourself/. Buy at https://i.materialise.com/en/shop/item/iwahnary Iwahnary is a puzzle based on an idea by Iwahiro (Hirokazu Iwasawa). Iwahiro discovered an interaction pattern for an exponential puzzle as follows: 210-211, 021-022. This is shorthand for "a piece can move between states 0 and 1 when its two upper neighbours are in states 2 and 1, and a piece can move between states 1 and 2 when its two upper neighbours are in states 0 and 2". So each rotor piece can have three states: 0, 1 and 2. The rotors are placed on a hillside, and each rotor interacts with its two upper neighbours as described by the interaction pattern. Later, Iwahiro found another pattern with similar properties: 020-021, 001-002. Both patterns result in a "phinary" puzzle. That is, the number of moves to solve increases by a factor phi (golden ratio, 1.618) for each piece added. Surprisingly, whereas both patterns are "phinary", the latter requires many more moves to solve than the former. Copyright (c) 2024, M. Oskar van Deventer. Frequently Asked Question: http://oskarvandeventer.nl/FAQ.html Buy mass-produced Oskar puzzles at https://www.puzzlemaster.ca/browse/inventors/oskar/ (USA, CA) and https://www.sloyd.fi/brain-teasers/inventors-designers/oskar-van-deventer (EU) Buy exclusive 3D-printed Oskar puzzles at http://shapeways.com/shops/oskarpuzzles, https://i.materialise.com/shop/designer/oskarpuzzle, https://www.chewiescustompuzzles.com/puzzleshop/oskars-puzzles,