Penrose Morph

This CAD model was designed by Oskar van Deventer & Craig Kaplan, copyright (c), 5 August 2025.

Penrose Morph is based on the famous non-periodical Penrose Tiling. This  exists in several variations, amount others "kites and darts" and "acute and obtuse rhombuses". Craig Kaplan showed that here is a continuous morph between the dart and the obtuse rhombus, and also one between the kite and the accute+obtuse rhombus combined. In our first prototype, we used straight-line morphs between the two types of shapes. Alas, that morph does not enforce the aperiodicity of the tiling. So Craig modified the middle parts of the morph such that aperiodicity is enforced. As an aesthetic choice, the decahedral tiling of kites and darts was selected for the puzzle.

Here is a fundamental mathematical question: if the outer edges of a subsection of the Penrose tiling are given (as in this puzzle), is then the inner tiling always univocal?

The frame requires four 5x5x5-mm magnets (https://www.supermagnete.de/eng/cube-magnets-neodymium/cube-magnet-5mm_W-05-N) and two 29-mm headless M3 screw ends.

Here are some links about this design.
https://www.youtube.com/watch?v=7JyPBe8ScLc
https://www.etsy.com/listing/4357254701/penrose-morph-the-most-beautiful-packing
https://twistypuzzles.com/forum/viewtopic.php?t=40402

Feel free to 3D-print an extra sample to give to a friend, as long as you mention the designer and don't charge money.

If you are planning to sell some samples, then please contact me for a license agreement. The royalty fee is 10% of your selling price.

Please do not upload the design to a commercial service, or redistribute the design in any way other than linking to the YouTube video: https://www.youtube.com/watch?v=7JyPBe8ScLc

Enjoy!

Oskar
24 August 2025

Contact: 
https://oskarvandeventer.nl/index_contact.php?subject=Print%20It%20Yourself


