Reuleaux polygon - Wikipedia
In geometry, a Reuleaux polygon is a curve of constant width made up of circular arcs of constant radius. [1] These shapes are named after their prototypical example, the Reuleaux triangle , which in turn is named after 19th-century German engineer Franz Reuleaux . [ 2 ]
Reuleaux Polygon -- from Wolfram MathWorld
2024年12月18日 · A Reuleaux polygon is a curvilinear polygon built up of circular arcs. The Reuleaux polygon is a generalization of the Reuleaux triangle and, for an odd number of sides, is a curve of constant width (Gray 1997).
Reuleaux triangle - Wikipedia
The Reuleaux triangle is the first of a sequence of Reuleaux polygons whose boundaries are curves of constant width formed from regular polygons with an odd number of sides. Some of these curves have been used as the shapes of coins.
Reinhardt polygon - Wikipedia
In geometry, a Reinhardt polygon is an equilateral polygon inscribed in a Reuleaux polygon. As in the regular polygons, each vertex of a Reinhardt polygon participates in at least one defining pair of the diameter of the polygon.
Curves of Constant Width and Reuleaux Polygons - National …
Franz Reuleaux (1829 - 1905) recognized that simple plane curves of constant width might be constructed from regular polygons with an odd number of sides. Thus, triangles and pentagons are frequently constructed using a corresponding number of intersecting arcs.
Reuleaux Polygons - Varun Vachhar
Reuleaux polygons are a generalization of the Reuleaux triangle. They are a curvilinear polygons i.e., made up of circular arcs and have an odd number of sides. The Reuleaux triangle is constructed by drawing circles from each vertex of an equilateral triangle. Where the radius of these circles equals the side length of the triangle.
Constructing Reuleaux polygons - scipython.com
2018年6月21日 · A Reuleaux polygon is a curvilinear polygon built up of circular arcs. For an odd number of vertices, it has a constant width, and for this reason many polygonal coins, such as the UK's 50p piece and this Bermudian dollar coin are Reuleaux polygons.
Formula to create a Reuleaux polygon - Mathematics Stack …
2017年5月14日 · Is there a formula or algorithm that, given the number of sides and the width/diameter, would give some data representation of a Reuleaux polygon that could be used to recreate it programmatically?
ReuleauxPolygon | Wolfram Function Repository
A Reuleaux polygon is a polygon of constant width made up of circular arcs of constant radius. n must be a positive odd integer. The angle θ is measured in radians counterclockwise from the positive x -direction.
A Reuleaux polygon is an orbiform whose boundary consists of a finite number (greater than one) of circular arcs (sides). Reuleaux polygons necessarily have an odd number of sides. For details on these matters see [1]. If the sides are of equal length, the Reuleaux polygon is called regular.
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