an ordinary Euclidean triangle, a triangle on the sphere, or a hyperbolic triangle. Each triangle group is the symmetry group of a tiling of the Euclidean...

Triangle Group (Chinese: 三角輪胎; also known as Triangle Tyre) is a Chinese tire company that manufactures a range of tires for vehicles from passenger cars...

automorphism group. The term "(2,3,7) triangle group" most often refers not to the full triangle group Δ(2,3,7) (the Coxeter group with Schwarz triangle (2,3...

ideal triangle is a hyperbolic triangle whose three vertices all are ideal points. Ideal triangles are also sometimes called triply asymptotic triangles or...

forms the I1(n) group. Two parallel mirrors can represent an infinite polygon I1(∞) group, also called Ĩ1. Three mirrors in a triangle form images seen...

be constructed as the principal congruence subgroup of the (2,3,7) triangle group in a suitable tower of principal congruence subgroups. Here the choices...

modular group as the rotational triangle group D(2, 3, ∞) (infinity as there is no relation on T), and it thus maps onto all triangle groups (2, 3, n)...

the triangles lie along lines of symmetry of the surface, and the reflections across those lines generate a symmetry group called a triangle group, for...

A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist...

triangle. When these are whole numbers, the triangle is called a Möbius triangle, and corresponds to a non-overlapping tiling, and the symmetry group...

the group law. For example, an element of the (2,3,7) triangle group acts on a triangular tiling of the hyperbolic plane by permuting the triangles. By...

The (7 3 2) triangle group, Coxeter group [7,3], orbifold (*732) contains these uniform tilings: The (8 3 2) triangle group, Coxeter group [8,3], orbifold...

Symmedian Tangential triangle Tarry point Ternary plot Thales' theorem Thomson cubic Triangle center Triangle conic Triangle group Triangle inequality Triangular...

In hyperbolic geometry, a hyperbolic triangle is a triangle in the hyperbolic plane. It consists of three line segments called sides or edges and three...

triangle's triangle group. More specifically, it is a modular function. Let πα, πβ, and πγ be the interior angles at the vertices of the triangle in radians....

The Triangle Shirtwaist Factory fire in the Greenwich Village neighborhood of Manhattan, a borough of New York City, on Saturday, March 25, 1911, was the...

Retrieved 16 June 2016. "HISTORY". Retrieved 2010-12-18. "About Us - Triangle Group Co., Ltd". Archived from the original on 2019-12-30. Retrieved 2010-12-18...

The Bermuda Triangle, also known as the Devil's Triangle, is a loosely defined region in the North Atlantic Ocean, roughly bounded by Florida, Bermuda...

the "(2,3,7) triangle group" most often refers, not to the full triangle group Δ(2,3,7) (the Coxeter group with Schwarz triangle (2,3,7) or a realization...

group can be a cocompact discrete subgroup of a nilpotent or solvable Lie group. Every triangle group T is a discrete subgroup of the isometry group of...

dicyclic group. The dicyclic group is the case ( p , q , r ) = ( 2 , 2 , n ) {\displaystyle (p,q,r)=(2,2,n)} of the family of binary triangle groups Γ ( p...

include the triangle groups corresponding to regular tessellations of the Euclidean plane and the hyperbolic plane, and the Weyl groups of infinite-dimensional...

An equilateral triangle is a triangle in which all three sides have the same length, and all three angles are equal. Because of these properties, the equilateral...

structures; for example, the above rotation group also acts on triangles by transforming triangles into triangles. If a group acts on a structure, it will usually...

hyperbolic von Dyck group (the index 2 subgroup of a triangle group, corresponding to orientation-preserving isometries) is a Fuchsian group. All these are...

Nazi concentration camp badges, primarily triangles, were part of the system of identification in German camps. They were used in the concentration camps...

Karpman drama triangle is a social model of human interaction proposed by San Francisco psychiatrist Stephen B. Karpman in 1968. The triangle maps a type...

The Weimar Triangle (French: Triangle de Weimar; German: Weimarer Dreieck; Polish: Trójkąt Weimarski) is a regional alliance of France, Germany, and Poland...

In geometry, an isosceles triangle (/aɪˈsɒsəliːz/) is a triangle that has two sides of equal length and two angles of equal measure. Sometimes it is specified...

Triangle is a 2009 psychological horror film written and directed by Christopher Smith and starring Melissa George, Michael Dorman, Rachael Carpani, Henry...