my sketchfab

this page presents interactive 3D models I made for my research on geometry, which are also available on my sketchfab page.

daniel barbaro’s convex non-uniform polyhedra

the captions for these models refer to the descriptions and figure numbering in Daniele Barbaro’s La Pratica della Perspettiva (1568) and draw on my studies of his non‑uniform polyhedra, including the paper “Materializing Daniele Barbaro’s Creativity with 3D Printing” and the chapter “Non‑Uniform Polyhedra Described by Daniele Barbaro”.

chapter XVI (1568: 90–93): rectified truncated octahedron
chapter XVIII (1568: 97): rectified truncated icosahedron
chapter XIX (1568: 98): truncated pentakis dodecahedron
chapter XX (1568: 99): twice-truncated icosahedron
chapter XXII (1568: 101): twice-truncated octahedron
chapter XXV (1568: 104): truncated rectified truncated octahedron
chapter XXXIV (1568: 111): “elongated” truncated octahedron
chapter XXXIV (1568: 111): chamfered cube
chapter XXXIV (1568: 111): no name yet
chapter XXXIV (1568: 111): truncated rectified truncated icosahedron

campanus sphere

the captions for the Campanus sphere models refer to Euclid’s Elements, book XII, proposition 17, and follow the construction described on this page.

Campanus sphere 2
Campanus sphere 3

dual polyhedra

this 3D model for the dual polyhedra refer to the constructions and notation presented on this page on dual pairs.

great stellated triacontahedron

concave semiregular polyhedra

this 3D model for a concave semiregular polyhedron follow the definitions and constructions outlined on this page.

concave quasiregular polyhedra

the 3D model for the concave quasiregular polyhedra follow the definitions and constructions outlined on this page.

great dodecadodecahedron
great icosidodecahedron
small ditrigonal icosidodecahedron
great ditrigonal icosidodecahedron
ditrigonal dodecadodecahedron
tetrahemihexahedron
octahemioctahedron
cubohemioctahedron
small icosihemidodecahedron
small dodecahemidodecahedron
great dodecahemicosahedron
small dodecahemicosahedron
great dodecahemidodecahedron
great icosihemidodecahedron

expansion of polyhedra

the 3D model for the expansion of the edges of polyhedra follow the definitions and constructions outlined on this page.

expansion of the edges of the dodecahedron