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  2. Ternary plot - Wikipedia

    en.wikipedia.org/wiki/Ternary_plot

    A ternary plot, ternary graph, triangle plot, simplex plot, or Gibbs triangle is a barycentric plot on three variables which sum to a constant. [1] It graphically depicts the ratios of the three variables as positions in an equilateral triangle .

  3. Graph paper - Wikipedia

    en.wikipedia.org/wiki/Graph_paper

    Polar coordinate paper has concentric circles divided into small arcs or 'pie wedges' to allow plotting in polar coordinates. Ternary (triangular) graph paper has an equilateral triangle, divided into smaller equilateral triangles with usually 10 or more divisions per edge. It is used to plot compositional percentages of in systems that have ...

  4. Dihedral group of order 6 - Wikipedia

    en.wikipedia.org/wiki/Dihedral_group_of_order_6

    Symmetries of an equilateral triangle [ edit ] The dihedral group D 3 is the symmetry group of an equilateral triangle , that is, it is the set of all rigid transformations (reflections, rotations, and combinations of these) that leave the shape and position of this triangle fixed.

  5. Flexagon - Wikipedia

    en.wikipedia.org/wiki/Flexagon

    The two yellow triangles on the ends will end up taped together. The red and blue arcs are seen as full circles on the inside of one side or the other when folded. A hexaflexagon with three faces is the simplest of the hexaflexagons to make and to manage, and is made from a single strip of paper, divided into nine equilateral triangles.

  6. Equilateral triangle - Wikipedia

    en.wikipedia.org/wiki/Equilateral_triangle

    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 triangle is a regular polygon, occasionally known as the regular triangle. It is the special case of an isosceles triangle by modern definition, creating more special properties.

  7. Sierpiński triangle - Wikipedia

    en.wikipedia.org/wiki/Sierpiński_triangle

    The Sierpiński triangle may be constructed from an equilateral triangle by repeated removal of triangular subsets: Start with an equilateral triangle. Subdivide it into four smaller congruent equilateral triangles and remove the central triangle. Repeat step 2 with each of the remaining smaller triangles infinitely.

  8. 5-simplex - Wikipedia

    en.wikipedia.org/wiki/5-simplex

    It has six vertices, 15 edges, 20 triangle faces, 15 tetrahedral cells, and 6 5-cell facets. It has a dihedral angle of cos −1 ( ⁠ 1 / 5 ⁠ ), or approximately 78.46°. The 5-simplex is a solution to the problem: Make 20 equilateral triangles using 15 matchsticks, where each side of every triangle is exactly one matchstick.

  9. Koch snowflake - Wikipedia

    en.wikipedia.org/wiki/Koch_snowflake

    The Koch snowflake (also known as the Koch curve, Koch star, or Koch island [1] [2]) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry" [3] by the Swedish mathematician Helge von Koch.