2008-9: Computational solutions for drilling perfect squares holes and regular hexagonal holes.
2009: A prototype for bicycle using non-round wheels was developed.
2012: Computational solutions for drilling any odd-sided regular polygonal holes.
2016: Great Britain redesigned the 1₤ coin in order to ensure its width is constant.
To the MNS presentation* The circle is not the only curve of constant width – so is Reuleaux triangle.
* Any regular odd-sided polygon can be used to construct a curve of constant width.
* For curves of constant width d:
* A prototype for the Wankel engine was developed. It replaced pistons with a rotor shaped like a Reuleaux triangle.
* A Reuleaux tetrahedron can be modified to form surfaces of constant width (Meissner tetrahedra).
* A general solution for drilling regular even-sided polygons is yet to be found.
* Open question: Meissner tetrahedra have the minimal volume of all 3D surfaces of constant width.
To the MNS presentationPlane and solid geometry (MSC2010#97G40)
* Curve of constant width
* Reuleaux triangle
* Tangent
* (Regular) polygons
* Circle / disk
* Arc / sector / radius
* Tetrahedron
* Meissner tetrahedral
* Sphere
* Axis of rotation
To the MNS presentation
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