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  2. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    Triangles that do not have an angle measuring 90° are called oblique triangles. A triangle with all interior angles measuring less than 90° is an acute triangle or acute-angled triangle . [2] If c is the length of the longest side, then a 2 + b 2 > c 2 , where a and b are the lengths of the other sides.

  3. Geodesic polyhedron - Wikipedia

    en.wikipedia.org/wiki/Geodesic_polyhedron

    Class II (b=c): {3,q+} b,b are easier to see from the dual polyhedron {q,3} with q-gonal faces first divided into triangles with a central point, and then all edges are divided into b sub-edges. Class III : {3, q +} b , c have nonzero unequal values for b , c , and exist in chiral pairs.

  4. Spiral of Theodorus - Wikipedia

    en.wikipedia.org/wiki/Spiral_of_Theodorus

    Spiral of Theodorus. The spiral of Theodorus up to the triangle with a hypotenuse of. In geometry, the spiral of Theodorus (also called the square root spiral, Pythagorean spiral, or Pythagoras's snail) [1] is a spiral composed of right triangles, placed edge-to-edge. It was named after Theodorus of Cyrene .

  5. Icosahedron - Wikipedia

    en.wikipedia.org/wiki/Icosahedron

    The great icosahedron is one of the four regular star Kepler-Poinsot polyhedra. Its Schläfli symbol is {3, 5 2 }. Like the convex form, it also has 20 equilateral triangle faces, but its vertex figure is a pentagram rather than a pentagon, leading to geometrically intersecting faces. The intersections of the triangles do not represent new edges.

  6. Sri Yantra - Wikipedia

    en.wikipedia.org/wiki/Sri_Yantra

    t. e. The Sri Yantra, Shri Yantra, or Shri Chakra ( Sanskrit: श्री यन्त्र, IAST: śrī yantra) is a form of mystical diagram ( yantra) used in the Shri Vidya school of Hinduism. Comprising nine interlocking triangles, it embodies complex symbolism. Four upward triangles signify Shiva, while five downward triangles represent ...

  7. Law of sines - Wikipedia

    en.wikipedia.org/wiki/Law_of_sines

    In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles. According to the law, where a, b, and c are the lengths of the sides of a triangle, and α, β, and γ are the opposite angles (see figure 2), while R is the radius of the triangle ...

  8. Triangular prism - Wikipedia

    en.wikipedia.org/wiki/Triangular_prism

    Triangular bipyramid. In geometry, a triangular prism or trigonal prism [1] is a prism with 2 triangular bases. If the edges pair with each triangle's vertex and if they are perpendicular to the base, it is a right triangular prism. A right triangular prism may be both semiregular and uniform . The triangular prism can be used in constructing ...

  9. Isosceles triangle - Wikipedia

    en.wikipedia.org/wiki/Isosceles_triangle

    Dual polygon. Self-dual. In geometry, an isosceles triangle ( / aɪˈsɒsəliːz /) is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case .