This series originated in Jeff Weeks’ educational programs that explore curves and 4D objects in a flat two dimensional environment - screen, paper or canvas. Artists use volume and color to create the perception of a new reality on a two dimensional surface. Blending the precise and factual descriptive of non Euclidian geometry with the tools of the visual arts has been to me both a rewarding challenge and a unique source of inspiration.
The 16-cell polytope is a finite regular four-dimensional cross
polytope. It is also known as the hyperoctahedron or
hexadecachoron. It is one of the six regular polychora and is
composed of 16 tetrahedra, with 4 to an edge*. It has 8 vertices,
24 edges, and 32 faces.
(*Weisstein, Eric W. "16-Cell." From MathWorld).
The 7-symmetry group hyperbola (pmgb) is described by French mathematician D’alembert in “Encyclopedie methodique” as a simple hyperbole where the spaces p & m are both infinite.