• Thumbnail for Reuleaux triangle
    A Reuleaux triangle [ʁœlo] is a curved triangle with constant width, the simplest and best known curve of constant width other than the circle. It is...
    57 KB (6,500 words) - 06:52, 2 June 2025
  • Thumbnail for Reuleaux polygon
    prototypical example, the Reuleaux triangle, which in turn is named after 19th-century German engineer Franz Reuleaux. The Reuleaux triangle can be constructed...
    7 KB (669 words) - 07:07, 2 April 2025
  • Thumbnail for Franz Reuleaux
    best remembered for the Reuleaux triangle, a curve of constant width that he helped develop as a useful mechanical form. Reuleaux was born in Eschweiler...
    7 KB (730 words) - 23:28, 19 June 2025
  • Thumbnail for Reuleaux tetrahedron
    named by analogy to the Reuleaux triangle, a two-dimensional curve of constant width; both shapes are named after Franz Reuleaux, a 19th-century German...
    8 KB (849 words) - 02:37, 8 February 2025
  • Thumbnail for Curve of constant width
    shapes by Leonhard Euler. Standard examples are the circle and the Reuleaux triangle. These curves can also be constructed using circular arcs centered...
    29 KB (3,608 words) - 18:20, 13 August 2024
  • Thumbnail for Barbier's theorem
    circle and the Reuleaux triangle. For a circle, the width is the same as the diameter; a circle of width w has perimeter πw. A Reuleaux triangle of width w...
    6 KB (669 words) - 05:01, 15 September 2024
  • twin circles Bankoff circle Circular triangle Reuleaux triangle Circumcircle Disc Incircle and excircles of a triangle Nine-point circle Circular sector...
    5 KB (399 words) - 18:05, 14 March 2025
  • Thumbnail for Annona squamosa
    the fruit connecting it to the outside. The skin is shaped like a Reuleaux triangle coloured green and rough in texture. Due to the soft flesh and structure...
    23 KB (2,411 words) - 18:27, 9 June 2025
  • Thumbnail for Equilateral triangle
    from an equilateral triangle by subdividing recursively into smaller equilateral triangles) and Reuleaux triangle (a curved triangle with constant width...
    25 KB (2,644 words) - 16:15, 29 May 2025
  • called a triquetra. The center of the 3-circle figure is called a reuleaux triangle. Some spherical polyhedra with edges along great circles can be stereographically...
    28 KB (2,216 words) - 16:01, 7 February 2025
  • Thumbnail for Triangle
    forms a circular triangle whose sides are all convex. An example of a circular triangle with three convex edges is a Reuleaux triangle, which can be made...
    55 KB (6,518 words) - 21:25, 19 June 2025
  • polygon, a curve of constant width Reuleaux triangle, a Reuleaux polygon with three sides Reuleaux heptagon, a Reuleaux polygon with seven sides that provides...
    489 bytes (95 words) - 10:48, 10 September 2022
  • Thumbnail for Blaschke–Lebesgue theorem
    In plane geometry the Blaschke–Lebesgue theorem states that the Reuleaux triangle has the least area of all curves of given constant width. In the form...
    11 KB (1,106 words) - 18:51, 6 November 2024
  • Thumbnail for Vesica piscis
    three circles can also be used to form the triquetra symbol, and the Reuleaux triangle. In Christian art, some aureolas are in the shape of a vertically...
    12 KB (1,458 words) - 18:02, 21 February 2025
  • intersection of three circular disks forms a convex circular triangle. For instance, a Reuleaux triangle is a special case of this construction where the three...
    6 KB (725 words) - 06:15, 24 March 2025
  • Thumbnail for Kite (geometry)
    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...
    38 KB (3,800 words) - 16:41, 11 April 2025
  • B-spline Ogee Loess curve Lowess Polygonal curve Maurer rose Reuleaux triangle Bézier triangle Caustic including Catacaustic and Diacaustic Cissoid Conchoid...
    46 KB (3,547 words) - 00:42, 27 May 2025
  • distinctive packaging that dispenses one mint at a time, and for their Reuleaux triangle shape. The name is a portmanteau of "sugarfree" and "mint", not of...
    5 KB (452 words) - 22:24, 7 April 2025
  • Thumbnail for Mortiser
    mortisers is a Harry Watt square drill bit, in which a bit with a Reuleaux triangle cross section is allowed to "wobble" while it rotates within a square...
    5 KB (678 words) - 19:31, 15 January 2025
  • Thumbnail for Hearing the shape of a drum
    be predicted if the frequencies are known; for example, whether a Reuleaux triangle can be recognized in this way. Kac admitted that he did not know whether...
    14 KB (1,717 words) - 15:51, 24 May 2025
  • Thumbnail for Wankel engine
    Hanns-Dieter Paschke. The Wankel engine's rotor is similar in shape to a Reuleaux triangle, with the sides having less curvature. The rotor spins inside a figure-eight-like...
    132 KB (16,064 words) - 02:58, 19 June 2025
  • Thumbnail for Estermann measure
    the triangles, for which this measure is 1/2. The curve of constant width with the smallest possible Estermann measure is the Reuleaux triangle. The...
    3 KB (334 words) - 20:32, 31 December 2020
  • π times its width. The Reuleaux triangle (formed by the intersection of three circles with the sides of an equilateral triangle as their radii) has the...
    147 KB (17,243 words) - 19:46, 8 June 2025
  • Thumbnail for Heater shield
    Geometrical construction of the Reuleaux triangle style of heater shield, for use as an heraldic escutcheon...
    5 KB (610 words) - 20:28, 10 April 2025
  • below). TP3 (sometimes referred to as tri-lobe or tri-lobular) uses a Reuleaux triangle-shaped recess in the screw head, to make it semi-secure because it...
    97 KB (10,128 words) - 04:57, 19 June 2025
  • Thumbnail for Submillimeter Array
    shape of a Reuleaux triangle. Because of that study, pads upon which SMA antennas can be placed were arranged to form four Reuleaux triangles, with the...
    18 KB (2,234 words) - 18:08, 1 April 2025
  • Thumbnail for Convex set
    Euclidean plane are solid regular polygons, solid triangles, and intersections of solid triangles. Some examples of convex subsets of a Euclidean 3-dimensional...
    27 KB (3,429 words) - 17:52, 10 May 2025
  • Thumbnail for Rolling
    axially-symmetrical. Two well known non-axially-symmetrical rollers are the Reuleaux triangle and the Meissner bodies. The oloid and the sphericon are members of...
    18 KB (1,836 words) - 18:38, 13 June 2025
  • Thumbnail for Derek Pratt (watchmaker)
    indicator". These watches marked the introduction of the Wankel-inspired Reuleaux triangle to operate the remontoire. In 1981, Pratt embarked on combining the...
    41 KB (4,681 words) - 15:35, 23 May 2025
  • Prime geodesic Projective line Ray Regular parametric representation Reuleaux triangle Ribaucour curve[3][4] Riemann–Hurwitz formula Riemann–Roch theorem...
    3 KB (262 words) - 20:23, 11 March 2022