color three-dimensional lattice

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• One-dimensional symmetry group — A one dimensional symmetry group is a mathematical group that describes symmetries in one dimension (1D). A pattern in 1D can be represented as a function f(x) for, say, the color at position x. The 1D isometries map x to x + a and to a − x.… …   Wikipedia

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• 12 (number) — ← 11 13 → 12 ← 10 11 12 13 14 15 16 …   Wikipedia

• Wallpaper group — A wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of a two dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and… …   Wikipedia

• Photonic crystal — The opal in this bracelet contains a natural periodic microstructure responsible for its iridescent color. It is essentially a natural photonic crystal, although it does not have a complete photonic band gap. Photonic crystals are periodic… …   Wikipedia

• Space group — In mathematics and geometry, a space group is a symmetry group, usually for three dimensions, that divides space into discrete repeatable domains. In three dimensions, there are 219 unique types, or counted as 230 if chiral copies are considered… …   Wikipedia

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