The outer form here is a 3d vesica piscis made from two intersecting spheres. The circles are all in octave proportion to each other. The vesica represents duality, the first step from unity to infinity. Other pendantsΒ Β available in our shop~ Other Pendants----13 Vector Equilibrium Spheres Fractal - 19mmΒ ----2D Hypercube 29mm----35mm Crystal Flower of Life Pendant - Green Aventurine----3D Seed of Life 30mm----3D Seed of Life Pendant 20mm----4D Archimedean Hyperform Toroidal Projection----5D Hypercube Pendant - 3 Sizes 37mm / 42mm / 50mmΒ ----64 Tetrahedron Grid 35mm Pendant----64 Tetrahedron Grid with Boundary Circles----6D Hypercube in its Toroidal form - 50x1mm - 64 vertices---Angel...
Β Each of the lines of an icosahedron has been extended so that the 20 triangles beach becomes a point of a star. These outer points can be linked to form a dodecahedron.Β These twin 5 symmetry forms both embody the golden ratio in all their proportions. They are related to the DNA and the process of life, whereas the 3 and 4 symmetry forms are related more to space, time, matter, and energy. The 20 sided icosahedron is one of the 5 Platonic Solids, convex forms that have all their angles and faces equal. The 5 symmetry of these...
Β The Stellated Dodecahedron with its 12 stars is one of the most beautiful extensions of a Platonic Solid. It relates to the DNA structure, and of course being pentagonal it is all golden ratio proportions. The 12 points of the stellated dodecahedron form an invisible icosahedron. (We also have a model where the icosahedron is added as well). These are the two 5 symmetry platonic solids. The 5 symmetry of these shapes is what creates the instability that allows life to exist so it is natural that the DNA should be based on them. The five symmetry also means...
This is a beautiful set of the 5 Platonic Solids plus the equally if not more important Vector Equilibrium. Buckminster Fuller was the one who named the cuboctahedron the 'Vector Equilibrium' and recognised its nature as the perfect balance of contractive and expansive forces. It's vertexes show the natural way that spheres cluster, with 12 points equally distant from their neighbors and from the central point. It is the 3d equivalent of the hexagon, showing the same symmetry as the 6 circles surrounding a central circle as they do in the Flower of Life. Even though it is classified as...
The Platonic Solids are so important to geometry that I thought to make them as affordable as possible. All 5 are the same approx height. The cube is approximately 68mm high.The best way to understand these geometries is as symmetrical packing of spheres. If you have 4 identical spheres and squash them together, their centers will naturally arrange themselves in the shape of a tetrahedron, the simplest straight edged 3 dimensional form. Note that the distances and angles between all vertexes is identical.Perhaps a little less obvious (and less stable), 6 spheres will form an Octahedron.The more spheres you add...
The StarTetrahedron is one of the most important Sacred Geometrical forms. The tetrahedron is the simplest of the 5 Platonic Solids, but it is not fully symmetrical. However when two of them are interpenetrating like this then they are fully balanced, and their outer vertexes form a cube whilst their inner vertexes form an octahedron. Thus In one form the StarTetrahedron contains the 3 core shapes that exist in all dimensions, the 'Simplex', the 'Cross' and the "Measure'. Understanding how this triad of forms continues through the dimensions can open a window to perceiving higher dimensional geometries. The StarTetrahedron was...
The Stellated Dodecahedron with its 12 stars is one of the most beautiful extensions of a Platonic Solid. It relates to the DNA structure, and of course being pentagonal it is all golden ratio proportions. The 12 points of the stellated dodecahedron form an invisible icosahedron. (We also have a model where the icosahedron is added as well). These are the two 5 symmetry platonic solids. The 5 symmetry of these shapes is what creates the instability that allows life to exist so it is natural that the DNA should be based on them. The five symmetry also means that...
The 12 points of the stellated dodecahedron form an icosahedron. (We also have a model where the icosahedron is not added to the stellated dodeca). These are the two 5 symmetry platonic solids. The 5 symmetry of these shapes is what creates the instability that allows life to exist so it is natural that the DNA should be based on them. The five symmetry also means that all the line lengths are in golden mean proportions. In fact this is the primary geometric expression of the Golden Ratio. No wonder it is such a pleasing and entrancing form ! This...
This version of the hypercube has fairly thick lines giving it a more chunky look. The Hypercube is the 4 dimensional analog of the cube. For full info on it see the Wikipedia article here. This model is an unusual projection of the Hypercube that equally distorts all 8 of its cubes. All the lines the same length as they should be in a Platonic hyper solid or 'polytope'. It is my own invention from about 36 years ago when I first got into drawing 3D stereographic models. It is the equivalent of drawing a cube as a hexagon with...