Some articles on pentagonal symmetry, symmetry:
Penrose Tiling - Features and Constructions - The Golden Ratio and Local Pentagonal Symmetry
... Any Penrose tiling has local pentagonal symmetry, in the sense that there are points in the tiling surrounded by a symmetric configuration of tiles such ... This symmetry will generally preserve only a patch of tiles around the center point, but the patch can be very large Conway and Penrose proved that whenever the colored curves on the P2 or P3 tilings close in a ... There can be at most one center point of global fivefold symmetry if there were more than one, then rotating each about the other would yield two closer centers of fivefold symmetry, which leads to ...
... Any Penrose tiling has local pentagonal symmetry, in the sense that there are points in the tiling surrounded by a symmetric configuration of tiles such ... This symmetry will generally preserve only a patch of tiles around the center point, but the patch can be very large Conway and Penrose proved that whenever the colored curves on the P2 or P3 tilings close in a ... There can be at most one center point of global fivefold symmetry if there were more than one, then rotating each about the other would yield two closer centers of fivefold symmetry, which leads to ...
Famous quotes containing the word symmetry:
“What makes a regiment of soldiers a more noble object of view than the same mass of mob? Their arms, their dresses, their banners, and the art and artificial symmetry of their position and movements.”
—George Gordon Noel Byron (1788–1824)
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