Does it Look Square? Hexagonal Bipyramids, Triangular Antiprismoids, and their Fractals

Year: 2007 Authors: Hideki Tsuiki

Core claim

Certain self-similar three-dimensional fractals can be constructed from cube selections so that their projections are square in multiple directions, and their associated polyhedra tile space as a Voronoi tessellation.

Topics

fractal projections, self-similar polyhedra, Voronoi tessellation, space tiling

Domains

fractal geometry, similarity dimension, self-similar sets, geometric tilings, sculpture, geometric visualization, 3D modeling, polyhedral design

Methods

IFS construction, cubic approximations, projection analysis, lattice geometry

Media

cubes, tetrahedron pieces, polyurethane, wires

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.