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Types and Polyhedra
Index to all Forms and Types of Tensegrity
Index to all concept articles
Index to all People
Index to all pages in this wiki
Artifacts and Procedures
ADAM Collapsible Truss System
Biot Tensegrity Robot
Blur Building by Diller & Scofidio
How To Build A 3 Strut Copper Base for a Table
How To Build A 30 Strut Soda Straw Dodecahedron
Icosahedron WIth Mitch Amiano's Connectors
Jakob Tensegrity Torus
Photonium, Tower of Light by Snelson
The octahedron is one of the Platonic polyhedra.
For a discussion of the centrality of the icosahedron in biotensegrity structures, see the discussion under
Byron Knight, for example, calls the 3 strut prism an octahedron. The tensegrity structure that outlines an octahedron has 3 struts and 9 tensile vectors.
The Simple, Rotated, and Tensegrity Structure Octahedron, from Deployable Antenna Kinematics Using Tensegrity Structure Design By Byron Franklin Knight
William Brooks Whittier analyzes the same structure, calling it a T-3. It has 3 struts and 9 tensile vectors. This tensegrity structure conforms with an octahedral truss with 12 edges, 8 faces, and 6 vertexes. Whittier notes that this structure fits into both the prism and truss unit cell families.
3 strut 9 tensile vector tensegrity, from Kinematic Analysis of Tensegrity Structures By William Brooks Whittier
calls the 6 strut model below an “expanded octahedron.” It is commonly catalogued by other researchers as a tensegrity octahedron.
6 strut model, expanded octahedron From Tensegrity Structures by Jáuregui.
Gómez-Jáuregui photographed a model he constructed from tensegritoy. It is a structure that conforms with a truncated octahedron.
Tensegritoy model that conforms with a truncated octahedron. FromTensegrity Structures by Jáuregui
Pope describes a tensegrity structure that outlines an octahedron with 3 struts and 12 tensile vectors.
Octahedron-based modelling by Burkhardt
reported in 1983 that his 4ν single layer octahedron formed a dome. He named it a "4ν Octa Aligned Diamond Tensegrity Sphere." The struts were somewhat aligned into lesser circles of six alternating yellow and blue struts, but not as aligned as he had hoped.
In general, Burkhardt reported that spherical models are best created based on the icosahedron, since they are formed of networks of alternating triangles. This has its disadvantages since the octahedron has a much more faceted look to it than the icosahedron. An icosahedron would be the preferred basis if it were feasible. This means adjustments must be made in the shape finding procedure so a spherical looking result is obtained. An octahedral basis also yields a lot of member activity at the vertexes.
4ν Octahedron Aligned Diamond Tensegrity Sphere partial by Burkhardt
Portal to Polyhedra
A series on polyhedra and associated tensegrities
Access by no. of struts:
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