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Isosceles set information


The unique 6-point isosceles set in the plane. The shaded regions show four of the 20 isosceles triangles formed by triples of these points.

In discrete geometry, an isosceles set is a set of points with the property that every three of them form an isosceles triangle. More precisely, each three points should determine at most two distances; this also allows degenerate isosceles triangles formed by three equally-spaced points on a line.

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Isosceles set

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In discrete geometry, an isosceles set is a set of points with the property that every three of them form an isosceles triangle. More precisely, each...

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Isosceles triangle

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the equilateral triangle as a special case. Examples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces of...

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Distance set

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isosceles. As a partial converse, every isosceles set that cannot be decomposed into two perpendicular subspaces is a 2-distance set. Distance sets have...

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Special right triangle

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(sequence A001652 in the OEIS) Nyblom, M. A. (1998), "A note on the set of almost-isosceles right-angled triangles" (PDF), The Fibonacci Quarterly, 36 (4):...

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Toronto Metropolitan University

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escutcheon include the Lamp of Learning to symbolize intelligence, and a set square to represent construction. The coat of arms is officially reserved...

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Ultrametric space

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every triple of points in the space forms an isosceles triangle, so the whole space is an isosceles set. Defining the (open) ball of radius r > 0 {\displaystyle...

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Disphenoid

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Other names for the same shape are isotetrahedron, sphenoid, bisphenoid, isosceles tetrahedron, equifacial tetrahedron, almost regular tetrahedron, and tetramonohedron...

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Inscribed angle

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of the circle, so they have equal lengths. Therefore, triangle △VOA is isosceles, so angle ∠BVA (the inscribed angle) and angle ∠VAO are equal; let each...

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Pons asinorum

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geometry, the theorem that the angles opposite the equal sides of an isosceles triangle are themselves equal is known as the pons asinorum (/ˈpɒnz ˌæsɪˈnɔːrəm/...

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Vertex figure

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four truncated cubes around an edge. The other four edge figures are isosceles triangles on the base vertices of the pyramid. These represent the arrangement...

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Z flag

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The Z flag is a diagonally quartered square consisting of four isosceles triangles with their apexes meeting in the center of the square – a yellow triangle...

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Armorial of Canadian universities

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Metropolitan, matriculated 18 June 1999 Escutcheon: Azure a right-angled isosceles set square apex downwards Argent on a chief Or an ancient lamp Azure enflamed...

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Balanced set

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is "hour glass shaped" and equal to the union of two closed and filled isosceles triangles T 1 {\displaystyle T_{1}} and T 2 , {\displaystyle T_{2},} where...

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Golden ratio

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golden gnomon. Analogously, any acute isosceles triangle can be subdivided into a similar triangle and an obtuse isosceles triangle, but the golden triangle...

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Frustum

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Set of pyramidal right n-gonal frustums Examples: right pentagonal and square frustums (n = 5 and n = 4) Faces n isosceles trapezoids, 2 regular n-gons...

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Icosahedron

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triangular faces, instead having 8 equilateral triangles and 12 congruent isosceles triangles. These symmetries offer Coxeter diagrams: and respectively,...

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Isosceles Peak

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Isosceles Peak is a 2,488-metre (8,163-foot) mountain summit located in British Columbia, Canada. Isosceles Peak is set within Garibaldi Provincial Park...

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Dodecahedron

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tetrahedron – 12 isosceles triangles, dual of truncated tetrahedron, Td symmetry, order 24 Other less regular faced: Hendecagonal pyramid – 11 isosceles triangles...

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Mathematical fallacy

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The fallacy of the isosceles triangle, from (Maxwell 1959, Chapter II, § 1), purports to show that every triangle is isosceles, meaning that two sides...

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Reflection symmetry

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reflection symmetry are isosceles. Quadrilaterals with reflection symmetry are kites, (concave) deltoids, rhombi, and isosceles trapezoids. All even-sided...

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Flag of South Africa

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hoist side (and follow the flag's diagonals). The "Y" embraces a black isosceles triangle from which the arms are separated by narrow yellow or gold bands;...

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Flag of Acadiana

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three white fleurs de lis and a gold castle, respectively, and a white isosceles triangle at the hoist, within which is a gold five-pointed star. It was...

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