Jellyfish Dodecahedron
Collaberation with Mikey Bergman
Featuring Phi Based Bicones as Dodecahedral Stellations
Demonstrating the shape of sound waves as a byproduct of toroidal motion expanding & moving away from the origin of a sound source.
Unifying The Stellated Dodecahedron
Collaberation with Alexander Lilikoi
The shrinking of dodecahedrons by a harmonic ratio of PHI gives life to this stunning Fractal.
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Based on nestings of a 2D pentagonal stars.
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Virus Capsids are Geometric wonders
A capsid is the protein shell of a virus.
The inner genome of the capsid is called the nucleocapsid and this is where the virus stores its genetic information.
The majority of viruses involve helical or icosahedral structures.
In this video the green Icosidodecahedron is the nucleocapsid and the capsomeres are the blue and orange icosahedral and dodecahedral structures.
Viruses are fragments of Branch Fractals
Icosidodecahedral Fractals Form Quasicrystals
Penrose Tiling in 3D
Decagonal Quasicrystals found in Penrose
Penrose tiling is an aperiodic space filling tesselation that is always composed from a set of phi based tiles. Aperiodic means that shifting the tiling by any distance, without rotation, will cause overlapping. However, despite their lack of transition symmetry, Penrose tilings may have both reflectional symmetry and fivefold rotational symmetry. Penrose tilings repeat their pattern indefinitely, filling all space, and there are an infinite set of penrose tilings in every dimension (The penrose multiverse). These quasicrystaline structures have been found in nature and they are composed of atoms at every apex of the tesselation. Most of these quasicrystalline structures in nature are icosahedral due to the effectiveness of vibratory dampening pertaining to its tiling. In this particular video the tesselation is icosahedral throughout every generation of the sun structure. The components used in this tesselation are (rhombic hexecontahedron, acute golden rhombihedron, obtuse golden rombihedron, rhombic icosahedron)
