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The 5 Platonic solids are called a tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron with 4, 6, 8, 12, and 20 sides respectively. The regular hexahedron is a cube . Table of polyhedra
Heptagram – star polygon with 7 sides; Octagram – star polygon with 8 sides Star of Lakshmi (example) Enneagram - star polygon with 9 sides; Decagram - star polygon with 10 sides; Hendecagram - star polygon with 11 sides; Dodecagram - star polygon with 12 sides; Apeirogon - generalized polygon with countably infinite set of sides
14.8.2 Tessellations of Euclidean 5-space and higher. ... Digon — 2 sided; Triangle. Acute triangle; ... Table of Shapes Section Sub-Section Sup-Section
[1] [2] There are different truncations of a rhombic triacontahedron into a topological rhombicosidodecahedron: Prominently its rectification (left), the one that creates the uniform solid (center), and the rectification of the dual icosidodecahedron (right), which is the core of the dual compound.
A regular digon has both angles equal and both sides equal and is represented by Schläfli symbol {2}. It may be constructed on a sphere as a pair of 180 degree arcs connecting antipodal points, when it forms a lune. The digon is the simplest abstract polytope of rank 2. A truncated digon, t{2} is a square, {4}. An alternated digon, h{2} is a ...
A polytope is a geometric object with flat sides, which exists in any general number of dimensions. ... Right triangle; Oblique triangle. ... E 6 / E 7 / E 8 / F 4 ...
Definitions based on the idea of a bounding surface rather than a solid are also common. [8] For instance, O'Rourke (1993) defines a polyhedron as a union of convex polygons (its faces), arranged in space so that the intersection of any two polygons is a shared vertex or edge or the empty set and so that their union is a manifold . [ 9 ]
If this diagonal is oriented vertically with a height of 1, then the first five slices above occur at heights r, 3 / 8 , 1 / 2 , 5 / 8 , and s, where r is any number in the range 0 < r ≤ 1 / 4 , and s is any number in the range 3 / 4 ≤ s < 1.