ivyOptic Geometric Visions
Article 01
Rhombitrihexagonal Tiling
Rhombitrihexagonal Tiling is composed of
Hexagons, Equilateral Triangle, Squares & Dodecagons.
Quite a Polygasm for such tight-packed tesselation!
2D into 3D
A Warped (3D Cantic-Cubille) in isometric projection
composes (2D Rhombitrihexagonal tiling).
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Triangles -> Cuboctahedrons
Squares -> Rectangular Prisms
Hexagons -> Warped Rhombicuboctahedron
2D into 3D Another way
The Rhombitrihexagonal Tiling pattern can also be created in isometric projection with a tiling composed of
hexagonal-parallelahedrons & Truncated-Octahedrons.
remarkable that 2D tiling
can result in numerous 3D tilings.
The Warped Rhombicuboctahedron found in (Rhombitrihexagonal tiling) is a layer of the tetra-octahedral grid of cubic honeycomb morphologies
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warped
Rhombicuboctahedron
Article 02
Atomic Structures link into Space-filling Tesselations
In crystals, the gaps between atoms tend to form space-filling tesselation of archimedean or platonic solids.
The video in this example is a Face-Centered Cubic Lattice structure such as Rock Salt (Halite).
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The electron orbital clouds are bipyramidal structures that nest perfectly between polyhedra within a space-filling tesselation.
Subatomic Structures Are Space-Filling Tesselations
Subatomic structures such as neutrinos stack themselves in the Face-Centered Cubic Lattice structure. These particles, thought to be spherical in nature, are tesselated in this fashion to leave the fewest gaps possible between spheres. Space-efficient spherical tiling shares axies with any cubic or tetrahedral honeycomb.
It's my vision that the universe is a space-filling grid of subatomic structures. Structures that allow information to travel, not by moving, but rather by changing form to communicate with neighboring particles or waveforms.
cubic honeycomb transformations
Honeycomb morphing is a process that occurs during crystallization. When a Space filling tesselation made of regular polygons morphs uniformly to invert its units, there will be other space filling tesselations with the same regular polygons property between the morphing.
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For example: Between the uniform morphing of cubille to inverted cubille honeycomb we find the cubeoctahedrille, truncated cubeoctahedrille, and truncated cubille.
I like to think of this phenomenon of geometric morphing as the language of energy. expanding & and contracting waves and particles.
Deca
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