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Orion's Belt superimposed on the Giza pyramid complex, illustrating the Orion Correlation Theory. From left to right: Alnitak on the Great Pyramid of Giza; Alnilam on the pyramid of Khafre; Mintaka on the pyramid of Menkaure; The Orion correlation theory is a fringe theory in Egyptology attempting to explain the arrangement of the Giza pyramid ...
The base regularity of a pyramid's base may be classified based on the type of polygon: one example is the star pyramid in which its base is the regular star polygon. [28] The truncated pyramid is a pyramid cut off by a plane; if the truncation plane is parallel to the base of a pyramid, it is called a frustum.
In his work titled Essays upon the Mathematics of Mordente: One Hundred and Sixty Articles against the Mathematicians and Philosophers of this Age (Prague: 1588), [2] Italian philosopher, cosmological theorist, and Hermetic occultist Giordano Bruno used the unicursal hexagram symbol to represent Figura Amoris ("figure of love") [2] part of the Hermetic trinity in his mathesis.
In geometry, the stellated truncated hexahedron (or quasitruncated hexahedron, and stellatruncated cube [1]) is a uniform star polyhedron, indexed as U 19. It has 14 faces (8 triangles and 6 octagrams), 36 edges, and 24 vertices. [2] It is represented by Schläfli symbol t'{4,3} or t{4/3,3}, and Coxeter-Dynkin diagram, .
A regular star polygon is a self-intersecting, equilateral, and equiangular polygon. A regular star polygon is denoted by its Schläfli symbol {p/q}, where p (the number of vertices) and q (the density) are relatively prime (they share no factors) and where q ≥ 2.
An overlapping circles grid is a geometric pattern of repeating, overlapping circles of an equal radius in two-dimensional space.Commonly, designs are based on circles centered on triangles (with the simple, two circle form named vesica piscis) or on the square lattice pattern of points.
The modern definition of the law of symmetry is based on symmetry elements, and is more in the German dynamistic [1] crystallographic tradition of Christian Samuel Weiss, Moritz Ludwig Frankenheim and Johann F. C. Hessel. Weiss and his followers studied the external symmetry of crystals rather than their internal structure.
In geometry, a star polyhedron is a polyhedron which has some repetitive quality of nonconvexity giving it a star-like visual quality. There are two general kinds of star polyhedron: Polyhedra which self-intersect in a repetitive way. Concave polyhedra of a particular kind which alternate convex and concave or saddle vertices in a repetitive way.