Tag Archives: math

Shared on YouMagine – Penrose P2 tiles by Juan Gonzalez-Gomez

Penrose P2 tiles by Juan Gonzalez Gomez

Modular robotics researcher Juan Gonzalez-Gomez shared a parametric set of Penrose P2 tilings he created in FreeCAD. Check out the video of his research assistant, six year old daughter Alicia, testing the accuracy of his project below. 😉

Shared On YouMaginePenrose P2 tiles by Juan Gonzalez-Gomez:

Only two Penrose tiles are needed for creating a non-periodic tiling. The tiles have been designed in Freecad, and they are parametric. Just open the Parameters spreadsheet (in freecad), change the parameters, generate the STL and print them. Examples of tiles with 30mm and 40mm side have been already generated and ready for printing and testing

The source code (Freecad) is available at this github repo.
Find more documentation (in Spanish) in this github wiki.
Have fun tiling the plane!

Tessellate the plane

Building tile in freecad

Tesselation example

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Shared On YouMagine – Tetrominoes (Tetris Pieces) by Brad Vaughan

Tetrominoes Tetris Pieces by Brad Vaughan

Brad Vaughan designed a set of tetromino blocks and trays, including a larger kid friendly set. (Get them addicted to Tetris-objects early!) But as he warns: “No guarantees on that though. Kids will be kids.”

Shared On YouMagineTetrominoes (Tetris Pieces) by Brad Vaughan:

Obviously what this world needs is MORE tetromino designs. This includes 2 different sizes, including a [potentially] baby safe 40mm version…. There’s even a holder for the smaller 10mm design that holds a ‘complete set’ of 2 of each design.

Below are the images he used to plan the two trays — two of the tiling solutions for the pattern of shapes. From Wikipedia.org:

5×8 rectangle

5×8 rectangle

4×10 rectangle

4×10 rectangle

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