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Wire (10, 2)-Sphericon medium kinetic toy 3d printed

DIGITAL PREVIEW
Not a Photo

Yellow Strong & Flexible Polished
Wire (10, 2)-Sphericon medium kinetic toy 3d printed
Wire (10, 2)-Sphericon medium kinetic toy 3d printed

DIGITAL PREVIEW
Not a Photo

Wire (10, 2)-Sphericon medium kinetic toy

Not For Sale

Product Description

This desk toy and decorative piece is yet another demonstration that a mathematical curiosity can challenge your intuition of how things move and be a lot of fun to show to your friends!

The sphericon is a shape that can roll, and to roll once every point on its surface must make contact with the surface it rolls on. But here's the catch: It's not a cylinder, and even a cylinder's caps don't touch the supporting surface! The sphericon can be constructed from two cones. As a result of its shape it has a characteristic wobble while it rolls. See it in action (1) (2).

(n, k)-sphericons are a larger class of shapes that have more complex surfaces and correspondingly stranger rolling patterns. These weren't available on Shapeways until now!

This is a (10, 2)-sphericon. Its surface is composed of patches from the surfaces of ten cones. We've combined wire design with this intriguing shape to create a 2 in palm-sized sculpture with low cost.

For the math people, in (the convex hull of) this shape you'll find golden ratios, a ruled and developable surface, and zero Gaussian curvature.

          
What's in the Box
INCM
Wire (10, 2)-Sphericon medium kinetic toy
Yellow Strong & Flexible Polished
Width
4.8 cm
Height
5.1 cm
Depth
4.8 cm

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