Oblique

Oblique is a series of experimental videos in 17 parts. View all of them here: Oblique

Oblique: Plot a curve. From points along the curve extend lines oblique to the plane of the curve. Make two or more such overlapping objects. Rotate.

Parallel

Parallel is a series of experimental videos in 20 parts. View all of them here: Parallel.

Parallel: Plot a curve. From points along the curve extend lines perpendicular to the plane of the curve. Make two or more such overlapping objects. Rotate. Maintain parallel lines. In a few variations, extend lines to a second, smaller curve, as in a cone. View from a line of sight perpendicular to the plane of the curves.

Six Degrees of Freedom

 

Click here to see all seven videos.

Six Degrees of Freedom is a program that generates symmetrical patterns from perspective renderings of overlapping and rotating polyhedra. These wireframe forms, built and animated with code, endlessly rotate in shared digital space.

Six Degrees of Freedom was exhibited at the gallery, Chambers @ 916, November and December, 2012.

Girih Polyhedra, Heptakaidecahedra with Elongated Hexagon

Girih Polyhedra, Chalice Wireframe

Pentagonal Orthobirotunda Pattern

Girih patterns are decorative Islamic designs in which star shapes and polygons are connected with interlacing straight lines. Girih (Persian for “knot”) can be painstakingly created with a straightedge and compass. About nine hundred years ago Islamic architects developed an ingenious method for generating girih patterns simply with tiles. The girih tiles are five decorated polygons used to create girih patterns systematically without the need for complex drafting. We can extend the girih system into three dimensions by applying the concept to the faces of polyhedra.

Here are twelve pentagonal orthobirotundi, with girih patterns.

Girih Icosidodecahedron and Pentagonal Orthobirotunda

These two girih polyhedra are a 32-faced icosidodecahedron and the related pentagonal orthobirotunda. They each include 12 pentagon and 20 triangle faces. The pentagons are decorated with the girih tile pattern. A similar pattern continues across the equilateral triangles.

Icosidodecahedron Wireframe Girih Pattern

Icosidodecahedron with Girih Pattern

Icosidodecahedron

Pentagonal Orthobirotunda Wireframe Girih Pattern

Pentagonal Orthobirotunda with Girih Pattern

Pentagonal Orthobirotunda