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Cube Dissection, Robert Reid, Three-Piece Puzzle, Liu Hui Cube Extension

3D model description

Cube Dissection, Robert Reid, Three-Piece Puzzle, Liu Hui Cube Extension
Yet another way to dissect a cube into three congruent pieces. It takes three copies to make a cube. It is simple to assemble with a gentle twist. There are four sizes provided. The 50mm^3 one is recommended.

This dissection can be credited to Robert Reid in recent history (see URL below). To me, it seems to be an extension of the cube-dissecting method of Liu Hui (263 AD, Chinese mathematician), who detailed a 1/2, 1/3, 1/6 dissection of a cube (or, in general, a cuboid) in his Nine Chapters on Mathematical Art. The famous Liu Hui dissection is the end case of a family of such designs, I think. I am pretty sure it is not unique! In this specific design, I used the midpoints of certain edges and diagonals.

It is an interesting design and is slightly challenging mathematical manipulation in a 3D design environment like Fusion 360 ®.

Have fun playing with math and art!

Reid, Robert.
Bu, Lingguo.
Print Settings

3D printing settings









  • 3D model format: STL


STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.

When working with children, please strictly observe all safety and health procedures! Please refer to the NSTA safety guides:




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