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The quatrefoil depicts the opening of the cosmic central axis at the crossroads of the four cardinal directions, representing the passageway between the celestial and the underworld. [7] Another early example of a quatrefoil is found at Chalcatzingo, Morelos state, Mexico, the city that flourished between 700 BCE and 500 BCE. Both a full ...
A geometrical hexafoil. The hexafoil is a design with six-fold dihedral symmetry composed from six vesica piscis lenses arranged radially around a central point, often shown enclosed in a circumference of another six lenses.
Example of an Egyptian design with wallpaper group p4m. 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 decorative art, especially in textiles, tiles ...
Traditional silhouette animation as invented by Reiniger is subdivision of cutout animation (itself one of the many forms of stop motion).It utilizes figures cut out of paperboard, sometimes reinforced with thin metal sheets, and tied together at their joints with thread or wire (usually substituted by plastic or metal paper fasteners in contemporary productions) which are then moved frame-by ...
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Any transformation of the plane leaving this pattern invariant can be decomposed into a translation, (x, y) ↦ (n + x, y), optionally followed by a reflection in either the horizontal axis, (x, y) ↦ (x, −y), or the vertical axis, (x, y) ↦ (−x, y), provided that this axis is chosen through or midway between two dots, or a rotation by ...