A prime characteristic of the vector equilibrium (VE) is its ability to dynamically pulse in both left and right-handed rotation from its fully-expanded state (the VE structure) to its fully-contracted state which is an octahedron, passing through a specific phase that creates an icosahedron
as it does so.
They are the most symmetric fullerenes, with all of the rotational symmetries of a soccer ball or an icosahedron
5a, 5b, 5c), or the duality of regular dodecahedrons and a regular icosahedron
The other 14 consider such topics as Picard groups of moduli spaces of torsion-free sheaves on curves, vector bundles and the icosahedron
, a quasi-complete homogeneous contact manifold associated to a cubic form, orthogonal bundles over curves in characteristic two, parabolic structures, and iterated destabilizing modifications for vector bundles with connection.
The syntegration networking architecture reproduces the geometry of a shape, such as the 20-faceted icosahedron
, a physically stable structure with five struts to every node and a pattern of interconnection that ensures that ideas spread very quickly.
triangle, pentagon, icosahedron
, ding-dong, I miss you.
There are three categories of phages based on their shape: icosahedron
(almost spherical in shape), filamentous (long tubes in a helical structure), and complex (icosahedron
heads attached to helical tails).
For an icosahedron
has twelve corners and twenty faces, and a dodecahedron has twenty corners and twelve faces, it was possible to coupling them into a dual figure.
The cube, tetrahedron, and dodecahedron are attributed to Pythagoreans while the octahedron and the icosahedron
are attributed to the mathematician Theaetetus.
The 1v dome is actually an icosahedron
(solid figure with twenty faces) with the 5 struts bottom removed.
The method, based on the structure of an icosahedron
, supports policy formulation and decision-making processes in a participative, non-hierarchical way.
k] be the planar graph that is obtained from the icosahedron
by replacing all of its triangles, except one, with the dissection of the equilateral triangle with side of length k into equilateral triangles with sides of unit length (as shown in Figure 1 for k = 8).