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The square tiling has 9 uniform colorings: 1111, 1112(a), 1112(b), 1122, 1123(a), 1123(b), 1212, 1213, 1234. In geometry, a uniform coloring is a property of a uniform figure (uniform tiling or uniform polyhedron) that is colored to be vertex-transitive.
In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane. It has Schläfli symbol of {4,4}, meaning it has 4 squares around every vertex. Conway called it a quadrille. The internal angle of the square is 90 degrees so four squares at a point make a full 360
The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.
Geometric discrepancy theory [1] is a sub-field of discrepancy theory, that deals with balancing geometric sets, such as intervals or rectangles.The general research question in this field is: given a set of points in a geometric space, and a set of objects in the same space, can we color each point in one of two different colors (e.g. black and white), such that each object contains roughly ...
Hyperbolic triangle (non-Euclidean geometry) Isosceles triangle; Kepler triangle; Reuleaux triangle; Right triangle; Sierpinski triangle (fractal geometry) Special right triangles; Spiral of Theodorus; Thomson cubic; Triangular bipyramid; Triangular prism; Triangular pyramid; Triangular tiling
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In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. [1] Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells, meeting at right angles.
The truncated square tiling is drawn over an equilateral chamfered square tiling. In geometry, the chamfered square tiling or semitruncated square tiling is a tiling of the Euclidean plane. It is a square tiling with each edge chamfered into new hexagonal faces. It can also be seen as the intersection of two truncated square tilings with offset ...