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Solids of Constant Width (Set of 3)

PRODUCT TYPE: Interesting Materials

These solids of constant width behave like spheres. This is because, regardless of the peculiar shape, the diameter is still equal at every point. You can demonstrate this property by setting a flat object, like a book, on them and it will roll as smoothly as if the object were on spheres. Additionally, these wonky shapes won't roll away.

The precise shape is an orbiform based on the revolution of a Reuleaux triangle.

Sold in sets of 3.

Size: 30mm (1.18 in) 
Material: 3D printed using Woodfill PLA


More info (from Wikipedia):

The Reuleaux tetrahedron is the intersection of four balls of radius  centered at the vertices of a regular tetrahedron with side lengths. The spherical surface of the ball centered on each vertex passes through the other three vertices, which also form vertices of the Reuleaux tetrahedron. Thus the center of each ball is on the surfaces of the other three balls. The Reuleaux tetrahedron has the same face structure as a regular tetrahedron, but with curved faces: four vertices, and four curved faces, connected by six circular-arc edges.

This shape is defined and named by analogy to the Reuleaux triangle, a two-dimensional curve of constant width; both shapes are named after Franz Reuleaux, a 19th-century German engineer who did pioneering work on ways that machines translate one type of motion into another. One can find repeated claims in the mathematical literature that the Reuleaux tetrahedron is analogously a surface of constant width, but it is not true: the two midpoints of opposite edge arcs are separated by a larger distance.


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Solids of Constant Width (Set of 3)

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Customer Reviews

Based on 3 reviews
E.R. (Texas, United States)
The kids loved!

We ordered a few things from you guys for our Christmas gifts and they've all been played with since. Big hit in our home! Thanks for helping keep them off the screens!

Anonymous (New Hampshire, United States)
Had Constant Width

Worked well
Could use some sanding

C. (Michigan, United States)
Works decently

Did not work as well as I had hoped, but they were still enjoyed!

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Solids of Constant Width (Set of 3)

Solids of Constant Width (Set of 3)