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The polyhedral formula generalized to a surface of genus g, V-E+F=chi(g) where V is the number of polyhedron vertices, E is the number of polyhedron edges, F is the number of ...
A cube can be divided into n subcubes for only n=1, 8, 15, 20, 22, 27, 29, 34, 36, 38, 39, 41, 43, 45, 46, and n>=48 (OEIS A014544; Hadwiger 1946; Scott 1947; Gardner 1992, ...
A quartic graph is a graph which is 4-regular. The unique quartic graph on five nodes is the complete graph K_5, and the unique quartic graph on six nodes is the octahedral ...
The Thue-Morse constant, also called the parity constant, is given by the concatenated digits of the Thue-Morse sequence P=0.0110100110010110100101100..._2 (1) (OEIS A010060) ...
The determination of the number of alternating permutations having elements {1,2,...,n}.
A circle-preserving transformation composed of an odd number of inversions.
A base-60, or sexagesimal, number system, used by the ancient Babylonians.
A variable which belongs to exactly one of a finite number of categories.
The number of elements of a group in a given conjugacy class.
When ac is divisible by a number b that is relatively prime to a, then c must be divisible by b.
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