Category:Order-4 square tiling

Regular tilings of the Euclidean plane: {3,6} {4,4} {6,3} v t
Regular square tilings: {4,3} {4,4} {4,5} {4,6} {4,7} {4,8} {4,9} {4,10} {4,12} {4,14} {4,16} {4,18} {4,∞} v t
Regular order-4 tilings: {3,4} {4,4} {5,4} {6,4} {7,4} {8,4} {10,4} {12,4} {14,4} {16,4} {18,4} {∞,4}

English: Order-4 square tiling (square tiling, square grid) is a regular tiling of the Euclidean plane by congruent squares. It is called order-4 because there are four squares around each vertex of the tiling. For comparison, order-3 square tiling is the spherical cube, while order-5 square tiling (and higher) exists on hyperbolic plane.

Русский: Правильный квадратный паркет (квадратный паркет порядка 4, паркет {4,4}) — паркет на евклидовой плоскости, в каждой вершине которого сходятся четыре равных квадрата. Квадратный паркет порядка 3 (паркет {4,3}) — сферический куб; квадратные паркеты {4,5}, {4,6} и т.п. существуют на гиперболической плоскости.

Subcategories

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Media in category "Order-4 square tiling"

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