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An alternated hexagon, h{6}, is an equilateral triangle, {3}. A regular hexagon can be stellated with equilateral triangles on its edges, creating a hexagram. A regular hexagon can be dissected into six equilateral triangles by adding a center point. This pattern repeats within the regular triangular tiling.
The elements of a polytope can be considered according to either their own dimensionality or how many dimensions "down" they are from the body.
Mathematical fiction is a genre of creative fictional work in which mathematics and mathematicians play important roles. The form and the medium of the works are not important. The form and the medium of the works are not important.
The Schläfli symbol is a recursive description, [1]: 129 starting with {} for a for-sided regular polygon that is convex.For example, {3} is an equilateral triangle, {4} is a square, {5} a convex regular pentagon, etc.
Also, as an equilateral triangle is a hexagon and three smaller equilateral triangles it is possible to superimpose a large polyiamond on any polyhex, giving two polyiamonds corresponding to each polyhex. This is used as the basis of an infinite division of a hexagon into smaller and smaller hexagons (an irrep-tiling) or into hexagons and ...
However, a regular hexagon can be dissected into six equilateral triangles, each of which can be dissected into a regular hexagon and three more equilateral triangles. This is the basis for an infinite tiling of the hexagon with hexagons. The hexagon is therefore an irrep-∞ or irrep-infinity irreptile.
A regular hexagram, , can be seen as a compound composed of an upwards (blue here) and downwards (pink) facing equilateral triangle, with their intersection as a regular hexagon (in green). A hexagram or sexagram is a six-pointed geometric star figure with the Schläfli symbol {6/2}, 2{3}, or {{3}}.
Equilateral can refer to: Equilateral polygon, in geometry; Equilateral triangle, in geometry; Equilateral dimension of a metric space, in mathematics; Equilateral triathlon, in which each leg would take an approximately equal time