Geometric solids

Collection by Jim Wrenholt

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Jim Wrenholt
Plates from the book: Max Bruckner, "Vielecke und Vielflache" (Leipzig, 1900)

The Art of Polyhedra

This week's Good Things is a celebration of the multi-faceted pleasures of polyhedra

Reference guide for drawing the platonic solids

Reference guide for drawing the platonic solids

{12}-gon with rhombuses | Flickr - dodecagons

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In geometry, a Johnson solid is a strictly convex polyhedron, each face of which is a regular polygon, but which is not uniform, i.e., not a Platonic solid, Archimedean solid, prism or antiprism. There is no requirement that each face must be the same polygon, or that the same polygons join around each vertex. An example of a Johnson solid is the square-based pyramid with equilateral sides (J1); it has 1 square face and 4 triangular faces.

Polyhedron Poster from Acme Klein Bottle

Zonohedron Featuring 870 Rhombic Faces of 15 Types.

Zonohedron Featuring 870 Rhombic Faces of 15 Types.

This is another piece of art created with a "3D printer". This shape contains the five Platonic solids in 3D. This is a hyperdodecahedron, a remarkably beautiful object brought to my attention by George Hart.

Large 120-Cell by Bathsheba on Shapeways

Check out Large 120-Cell by Bathsheba on Shapeways and discover more 3D printed products in Mathematical Art.

Johnson Solids on the RISD Portfolios

RISD Portfolios

Diagrams created to visually categorize Johnson Solids according to their various operations.

Johnson Solids on the RISD Portfolios

RISD Portfolios

Diagrams created to visually categorize Johnson Solids according to their various operations.

Johnson Solids on the RISD Portfolios

RISD Portfolios

Diagrams created to visually categorize Johnson Solids according to their various operations.

Alberto's blog: Triangulated (Golden Sphere) Polyhedron

Triangulated (Golden Sphere) Polyhedron

Compass + straightedge sphere construction. Pencil, Walnut and Caoba ink on paper Alberto J. Almarza Created May 30, 2013 AA13

Zonohedrification

Zonohedrification

Promenides I By Dev Harlan

A mathematician would know better. In fact, the sculptures are an artistic interpretation of a 4D shape called the dodecacontachoron, or the 120-cell. That's 120 dodecahedra - a 3D shape with twelve pentagon faces - fitted together in intertwining rings.

Sculptures cast shadows from the fourth dimension

Mathematician Henry Segerman builds intricate geometric sculptures that squeeze the fourth dimensional into our 3D space

Zonohedrification

Zonohedrification

Sphère de Hilbert

Sphère de Hilbert