Reuleaux Triangle

Reuleaux Triangle

thingiverse

An updated version of this intriguing shape with unchanging width is now available without screws. Check it out at http://www.thingiverse.com/thing:12644. The Reuleaux Triangle rolls seamlessly within a square, despite its rotational center being non-constant. For more information on the Reuleaux Triangle, including an animated illustration of its path, visit http://en.wikipedia.org/wiki/Reuleaux_triangle or http://mathworld.wolfram.com/ReuleauxTriangle.html. To create this unique design, cut the triangle and the thinner middle frame from opaque material (e.g., white HDPE), and the thicker frames twice from transparent material like acrylic. Assemble the layers by sandwiching the frames with the triangle in between, following the arrangement shown in the close-up image. From top to bottom, this includes: M3 screw, first acrylic frame, spacer for triangle flexibility, white HDPE frame, second acrylic frame, and a hidden nut.

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