Cube


The cube is one of the Platonic polyhedra. Also known as the hexahedron, it is the dual of the octahedron.

Cube Tensegrity Structures by Snelson


Kenneth Snelson constructed a series of four tensegrity structures that metamorphose slowly from evoking a truncated octahedron to evoking a truncated cube.

8_strut_cube_metamorphosis_by_Snelson.jpg

Burkhardt posted the photo with permission here: http://bobwb.tripod.com/snelson/cubemetamorphosis.html

8 Strut Zig Zag Cube by Burkhardt


Burkhardt created a ray trace of a zig zag instantiation of an 8 strut cube.

8_strut_zig_zag_cube_by_Burkhhardt_ray_trace.jpg
8 strut zig zag cube by Burkhhardt, ray trace


Link: http://www.trip.net/~bobwb/ts/synergetics/photos/zzcube.html

6 strut tensegrity outlines the corners of a cube


Lawrence Pendred posted this unconventional 6 strut, 24 tendon tensegrity structure. The corners where the 3 tendons outline 8 locations in space that conform with a regular cube. Pendred wrote, "[This is an example of a perfectly rigid 3d framework containing no triangles! Consisting of 6 sticks arrainged in 3 parallel, mutually orthogonal pairs. Each end of each stick has 2 strings attached. The strings form 8 3-pointed stars, the centers of which form the corners of a cube. If you want an interesting suprise, calculate the dimensions of the strings relative to that of the struts, and the distance between the struts; then for an even greater suprise, imagine that twice the amount of string is used, and instead of 3-pointed stars, triangles of string are used. ( you get a fully collapsible structure that lays itself out in a very interesting pattern."

6_strut_24_tendon,_corners_of_tendons_outline_a_cube,_by_Pendred_closeup.jpg
6 strut 24 tendon tensegrity structure. The corners where 3 tendons meet outline a cube, by Pendred


Link: http://www.pendred.net/Polyhedra/six_sticks.htm

8 strut tensegrity cube


Angelo Agostini constructed a model of two concentric cubes, rotated around their center.

a "real" cube with 6 equal, square faces, 8 vertices etc.
a "real" cube with 6 equal, square faces, 8 vertices etc.

this tensegrity is based on 2 concentric cubes, rotated around the center - link.

The concentric construction idea could apply to any platonic solid - see also a 4 strut tetrahedron by the same author.

Portal to Polyhedra
A series on polyhedra and associated tensegrities
  1. Platonic: Cube, Dodecahedron, Icosahedron, Octahedron, Tetrahedron
  2. Archimedan: Cuboctahedron, Jitterbug, Rhombic Dodecahedron, Stella Octangula, Tricontahedron
  3. Form: Prism, Torus
  4. Concepts: Naming
Access by no. of struts: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 21, 30, 60, 90, 270, 540; Procedures: 3, 30