In geometry, a Reuleaux polygon is a curve of constant width made up of circular arcs of constant radius. These shapes are named after their prototypical...

square, the Reuleaux triangle is also sometimes known as the Reuleaux rotor. The Reuleaux triangle is the first of a sequence of Reuleaux polygons whose boundaries...

Reuleaux may refer to: Franz Reuleaux (1829–1905), German mechanical engineer and lecturer in geometry: Reuleaux polygon, a curve of constant width Reuleaux...

segment Crescent Lens, vesica piscis (fish bladder) Lune Quatrefoil Reuleaux polygon Reuleaux triangle Salinon Semicircle Tomahawk Trefoil Triquetra Archimedean...

Reinhardt polygon is an equilateral polygon inscribed in a Reuleaux polygon. As in the regular polygons, each vertex of a Reinhardt polygon participates...

construction generates a Reuleaux triangle from an equilateral triangle. Some irregular polygons also generate Reuleaux polygons. In a closely related construction...

equilateral polygon is inscribed in a Reuleaux polygon, it forms a Reinhardt polygon. Among all convex polygons with the same number of sides, these polygons have...

version featuring Elizabeth II. The coin's outline is an 11-sided Reuleaux polygon. Its diameter of 26.5 mm (1.04 in) and its 11-sidedness match that...

with holes in the middle. Coins in the shape of polygons often have rounded edges or are Reuleaux polygons. This article focuses mainly on circulating coins;...

equal to πw. A similar analysis of other simple examples such as Reuleaux polygons gives the same answer. One proof of the theorem uses the properties...

results in a cammed motion), various varieties of superellipses and Reuleaux polygons. Unlike conventional rolling-element bearings, they do not require...

Geometrically, the shape of the coin forms an equilateral-curve heptagon, or Reuleaux polygon, a curve of constant width, meaning that the diameter is constant across...

A triangle is a polygon with three corners and three sides, one of the basic shapes in geometry. The corners, also called vertices, are zero-dimensional...

In geometry, a heptagon or septagon is a seven-sided polygon or 7-gon. The heptagon is sometimes referred to as the septagon, using septa- (an elision...

hendecagon (also undecagon or endecagon) or 11-gon is an eleven-sided polygon. (The name hendecagon, from Greek hendeka "eleven" and –gon "corner", is...

with one side coinciding with part of the triangle's longest side. A Reuleaux triangle, or more generally any curve of constant width, can be inscribed...

case of the biggest little polygon problem, and found the Reinhardt polygons, equilateral polygons inscribed in Reuleaux polygons that solve several related...

equal. Because of these properties, the equilateral triangle is a regular polygon, occasionally known as the regular triangle. It is the special case of...

density ρ that floats in any orientation. Curve of constant width Reuleaux polygon Bor, Gil; Levi, Mark; Perline, Ron; Tabachnikov, Sergei (2018). "Tire...

vertices lie at the three corners and one of the side midpoints of the Reuleaux triangle. An equidiagonal kite is a special case of a midsquare quadrilateral...

theorem, every curve of constant width has perimeter π times its width. The Reuleaux triangle (formed by the intersection of three circles with the sides of...

possible Kovner–Besicovitch measure is the Reuleaux triangle. The Kovner–Besicovitch measure of any given convex polygon with n {\displaystyle n} vertices can...

B-spline Nonuniform rational B-spline Ogee Loess curve Lowess Polygonal curve Maurer rose Reuleaux triangle Bézier triangle Caustic including Catacaustic and...

least six vertices. Although many curves of constant width, such as the Reuleaux triangle, are non-smooth or have circular arcs on their boundaries, there...

representation of conic sections Dandelin spheres Curve of constant width Reuleaux triangle Frieze group Golden angle Holditch's theorem Interactive geometry...

associate around 1514, which transforms the faces of an octahedron to Reuleaux triangles. Christian Gottlieb Reichard created a polyhedral globe based...

Syntractrix Tractrix Trochoid Bézier curve Loess curve Lowess Ogee Polygonal curve Maurer rose Reuleaux triangle Stadium Splines B-spline Nonuniform rational B-spline...

an even sided regular polygon. In principle, there are infinitely many polycons, as many as there are even sided regular polygons. Most members of the...

the intersection of geometry and computer science. In the late 1800s F. Reuleaux, A. B. W. Kennedy, and L. Burmester formalized the analysis and synthesis...

three circular disks forms a convex circular triangle. For instance, a Reuleaux triangle is a special case of this construction where the three disks are...