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Types and Polyhedra
Index to all Forms and Types of Tensegrity
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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
Table of Contents
Read here about the types of mathematical angles that are generally significant when specifying, measuring or analyzing tensegrity structures, and some speculation about the conventional idea of the angle and its specific application in tensegrity structural comprehension.
is the figure formed by two rays sharing a common endpoint, called the
of the angle. The magnitude of the angle is the "amount of rotation" that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide with the other. Where there is no possibility of confusion, the term "angle" is used interchangeably for both the geometric configuration itself and for its angular magnitude (which is simply a numerical quantity).
Read here about types of angles commonly encountered in tensegrity analysis.
When a system is spherical the axial angles are at the base of an isosceles triangle whose apex is the central angle subtended by a strut.
If the system is nonspherical, we need, in addition to the stut's chord factor, the radii at its two ends.
This is the traditional angle taught in high school trigonometry, being the angles defined by the polygon as if it is a plane.
A form of a dihedral angle, the dip angle is formed when on a spherical tensegrity structure, where the spherical contour dips inward, incising a polyhedron with a re-entrant angle.
Hugh Kenner's chapter on Angles in
Geodesic Math and how To use It
Portal To Mathematics
A series on mathematical methods.
Finite Element Method
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