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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 ...
Vertex the ridge or (n−2)-face of the polygon; Edge the facet or (n−1)-face of the polygon; Polyhedron (3-polytope) ... Uniform 1 k2 polytope; Uniform 2 k1 ...
These segments are called its edges or sides, and the points where two of the edges meet are the polygon's vertices (singular: vertex) or corners. The word polygon comes from Late Latin polygōnum (a noun), from Greek πολύγωνον ( polygōnon/polugōnon ), noun use of neuter of πολύγωνος ( polygōnos/polugōnos , the masculine ...
add edges (p 0 × q 0, p 1 × q 1) where (p 0, p 1) is an edge of P and (q 0, q 1) is an edge of Q. select an arbitrary connected component of the result. Alternatively, the blend is the polygon ρ 0 σ 0 , ρ 1 σ 1 where ρ and σ are the generating mirrors of P and Q placed in orthogonal subspaces. [ 9 ]
A polygon that is monotone with respect to the y-axis is called y-monotone. A monotone polygon with n vertices can be triangulated in O(n) time. Assuming a given polygon is y-monotone, the greedy algorithm begins by walking on one chain of the polygon from top to bottom while adding diagonals whenever it is possible. [1]
1-uniform tilings include 3 regular tilings, and 8 semiregular ones, with 2 or more types of regular polygon faces. There are 20 2-uniform tilings, 61 3-uniform tilings, 151 4-uniform tilings, 332 5-uniform tilings and 673 6-uniform tilings. Each can be grouped by the number m of distinct vertex figures, which are also called m-Archimedean tilings.
Quarter inch cartridge tape (abbreviated QIC, commonly pronounced "quick") is a magnetic tape data storage format introduced by 3M in 1972, [1] with derivatives still in use as of 2016. QIC comes in a rugged enclosed package of aluminum and plastic that holds two tape reels driven by a single belt in direct contact with the tape.
The word is a portmanteau of the words thin and insulate, trademarked by 3M. [1] The material is made by the 3M Corporation and was first sold in 1979. [2] It was originally marketed as an inexpensive alternative to down; at the time, 3M claimed it was twice as warm as an equivalent amount of any natural material. [3] [4]
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