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Prince Rupert's Cube geometry proof

Remixed by

Print Profile(1)

All
P1S
X1E
X1 Carbon
X1
P2S
A1
P1P
H2D Pro
H2S
H2D
H2C
X2D
A2L

0.2mm layer, 2 walls, 15% infill
0.2mm layer, 2 walls, 15% infill
Designer
5.7 h
2 plates
3.0(1)

Open in Bambu Studio
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4
9
1
0
32
9
Released 

Description

This is a remix of TomM's Prince Rupert's Cube.

 

“Prince Rupert's cube is named after Prince Rupert of the Rhine, who asked whether a cube could be passed through a hole made in another cube of the same size without splitting the cube into two pieces. A positive answer was given by John Wallis.”

 

The opposite shape from this is the Noperthedron, which is the first shape found that can NOT pass through itself.

 

This model has been tweaked from TomM's by slicing the ‘frame’ part of the cube in half for easier printing (it then needs to be glued together), as well as sizing up the frame 1% to allow the whole cube to pass through easier. While this doesn't exactly match the true definition since the frame is larger slightly, there is also friction in the real world that pure mathematics doesn't have to deal with. The whole cube has ironing turned on, and I suggest printing it a smooth plate for nice clean results on all sides. The frame cube has very little material at its thinnest part, be gentle with it.

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