Spiral Ruled Surfaces

Year: 2022 Authors: Frank A. Farris

Core claim

A general ruled-surface construction based on a planar generating curve can produce spiral, double-spiral, and other aesthetically rich surfaces, including known doubly ruled examples.

Topics

ruled surfaces, logarithmic spiral, 3D visualization, mathematical art

Domains

differential geometry, parametric surfaces, complex numbers, stereographic projection, mathematical art, 3D printing, digital rendering, surface sculpture

Methods

parametrization, algebraic derivation, Grasshopper modeling, Photoshop texturing

Media

OBJ files, wood grain texture, brass edges, 3D print, olive-wood coaster

Source status

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