N-dimensional Pyramids
A 2-dimensional pyramid is a triangle, formed by a base edge connected to a noncolinear point called an apex.
A 4-dimensional pyramid is called a polyhedral pyramid, constructed by a polyhedron in a 3-space hyperplane of 4-space with another point off that hyperplane.
Higher dimensional pyramids are constructed similarly.
The family of simplices represent pyramids in any dimension, increasing from triangle, tetrahedron, 5-cell, 5-simplex, ... A n-dimensional simplex has the minimum n+1 vertices, with all pairs of vertices connected by edges, all triples of vertices defining faces, all quadruples of points defining tetrahedral cells, etc.
Read more about this topic: Pyramid (geometry)
Famous quotes containing the word pyramids:
“I go into my library, and all history unrolls before me. I breathe the morning air of the world while the scent of Eden’s roses yet lingered in it, while it vibrated only to the world’s first brood of nightingales, and to the laugh of Eve. I see the pyramids building; I hear the shoutings of the armies of Alexander.”
—Alexander Smith (1830–1867)