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Array of Constant breath solid Rollers – 3D printable model from Thingiverse Thingiverse

Array of Constant breath solid Rollers

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I added the ability to print arrays of rollers of varying roundness. it makes it easer to print and explore how the shapes change behavior from Reuleaux triangle to circle. Note it's helpful to print on a raft to keep all the rollers together.

I came across ‘Curves of Constant Breadth’ in an old book – ‘Riddles In Mathematics: a book of paradoxes’ by Eugene P. Northrop. Northrop introduces the idea of Curves of Constant Breadth by questioning whether a roller used under a sledge for moving heavy objects must be round. Surprisingly, the answer is “No.” Northrop produces the example of the Reuleaux triangle as a Curve of Constant Breadth, though he notes that the Reuleaux triangle makes a terrible roller due to its relatively sharp points. However, Northrop notes the points can be smoothed by prolonging the sides of the triangle some distance (s) and drawing a curve of radius (s) between the two extended sides. Where the breadth of the Reuleaux triangle is (L) (i.e. the length of ea
Source
Thingiverse
What you need to print this: Beginner Low confidence
Single piece
Supports 1/3
Assembly 0/3
Settings 1/3
Bed size 0/3
Post-process 0/3
Printer
FDM / FFF
File format
STL
Material
Software
Cura, PrusaSlicer, or similar
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