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But with an even number of sides (12 in the new coin), can that work?
by chiph 10y ago
But with an even number of sides (12 in the new coin), can that work?
- _archon_ 10y agoIt can not. Reuleaux solids must have an odd number of vertices, or they indeed don't work. It would appear that I didn't have my brain fully on this morning. To apply the principle of Reuleaux geometry to a regular shape with an even number of vertices, you'd make arcs tangent to the point in question, extending in a curve that increases the coin's diameter as the arc gets longer. The arc would come to an end in a point midway to the next point, where it would intersect with that point's arc. You'd have a star-shaped solid where all geometry external to the inscribed circle are tapered triangles. Kind of neat, but it would be tough to put through a vending machine.
- deleted 10y ago[deleted]