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Prince Rupert's Cube geometry proof – 3D printable model from MakerWorld MakerWorld
Mathematics

Prince Rupert's Cube geometry proof

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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
Category
Mathematics
Source
MakerWorld
Published
Updated
What you need to print this: Intermediate Low confidence
Single piece
Supports 1/3
Assembly 0/3
Settings 1/3
Bed size 0/3
Post-process 1/3
Printer
FDM / FFF
File format
STL
Material
PLA
Post-processing
Sanding
Software
Cura, PrusaSlicer, or similar
Same designer, more platforms

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