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However, similar patterns appear already as a common motif of 13th-century Cosmatesque inlay stonework. [19] The Apollonian gasket, named for Apollonius of Perga (3rd century BC), was first described by Gottfried Leibniz (17th century) and is a curved precursor of the 20th-century Sierpiński triangle. [20] [21] [22]
The final stellation of the icosahedron has 2-isogonal enneagram faces. It is a 9/4 wound star polyhedron, but the vertices are not equally spaced.: The Fourth Way teachings and the Enneagram of Personality use an irregular enneagram consisting of an equilateral triangle and an irregular hexagram based on 142857.
The {7/2} and {7/3} star polygons also have occult significance, particularly in the Kabbalah and in Wicca. The {8/3} star polygon is a frequent geometrical motif in Mughal Islamic art and architecture; the first is on the emblem of Azerbaijan.
Polygon triangulation. In computational geometry, polygon triangulation is the partition of a polygonal area (simple polygon) P into a set of triangles, [1] i.e., finding a set of triangles with pairwise non-intersecting interiors whose union is P.
In mathematical logic and computer science, the Kleene star (or Kleene operator or Kleene closure) is a unary operation, either on sets of strings or on sets of symbols or characters. In mathematics, it is more commonly known as the free monoid construction.
In C and C++, keywords and standard library identifiers are mostly lowercase. In the C standard library, abbreviated names are the most common (e.g. isalnum for a function testing whether a character is alphanumeric), while the C++ standard library often uses an underscore as a word separator (e.g. out_of_range).
If is an integer, the answer is , but the precise – or even asymptotic – amount of unfilled space for an arbitrary non-integer is an open question. [ 1 ] 5 unit squares in a square of side length 2 + 1 / 2 ≈ 2.707 {\displaystyle 2+1/{\sqrt {2}}\approx 2.707}
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.