Penrose Snap Tiles

by emmett, published

Penrose Snap Tiles by emmett Jan 18, 2012
3 Share
Download All Files

Thing Apps Enabled

Order This Printed View All Apps


A part of these Groups

View All


Liked By

View All

Give a Shout Out

If you print this Thing and display it in public proudly give attribution by printing and displaying this tag.

Print Thing Tag


Thing Statistics

7564Views 1780Downloads Found in Math Art


The Penrose tiles by pleppik got me thinking and I decided they would be cooler if they held together on their own. The snap shapes enforce the matching rules (as long as all the pieces are right-side up), which means any pattern you make out of them will be aperiodic.


Print lots of each rhombus. Turn off fill in order to print just the perimeter (this makes them print fast and snap together easily). Using Multiply, I managed to cram 16 of rhomb1 onto a TOM build platform and 18 of rhomb2 (it helps to use some negative separation with rhomb2). This would be a perfect use for an Automated Build Platform, but mine isn't attached right now. I can still print upwards of 30 tiles per hour.

Assemble. It's easy to get stymied (for instance, nothing can attach to certain parts of the black star). The arcs also represent the maching rule, so lining up arc segments helps to figure out where pieces can go. The arcs are formed by thin slices out of the STLs; they only go halfway up so you can tell which side is the top. As the pattern gets larger, the ratio of rhomb1 to rhomb2 tiles will approach the golden ratio (~1.618), because math is awesome.

The OpenSCAD file is fully parametric in case you want to modify these.

More from Math Art

view more

All Apps

Auto-magically prepare your 3D models for 3D printing. A cloud based 3D models Preparing and Healing solution for 3D Printing, MakePrintable provides features for model repairing, wall thickness...

App Info Launch App

Kiri:Moto is an integrated cloud-based slicer and tool-path generator for 3D Printing, CAM / CNC and Laser cutting. *** 3D printing mode provides model slicing and GCode output using built-in...

App Info Launch App
KiriMoto Thing App

With 3D Slash, you can edit 3d models like a stonecutter. A unique interface: as fun as a building game! The perfect tool for non-designers and children to create in 3D.

App Info Launch App

Print through a distributed network of 3D printing enthusiasts from across the US, at a fraction of the cost of the competitors. We want to change the world for the better through technology, an...

App Info Launch App

Quickly Scale, Mirror or Cut your 3D Models

App Info Launch App

Treatstock is an online platform that offers decentralized manufacturing services such as 3D printing and CNC machining for clients all over the world. We offer free and instant access to comparati...

App Info Launch App

3D print your favourite design with NinjaPrototype, a professional 3D manufacture with consistent quality and speed.

App Info Launch App

Nice design! The tiles have a pleasant springiness when they're done.

To get the arcs to slice using slic3r, I changed the slice function so that the inner cylinder had a radius of r-0.2 rather than the default r-0.01.

These look great !!! Any chance of outputting the stl file into a dxf file format so us

poor folk with a Laser cutter/engraver can download the file for outline cuts into

wood or plex? I think these would be awesome on a larger scale format for Burning Man puzzle or ???? thx in advance