12 cubeoctahedral spheres surround the central sphere. The centres of the spheres are the same distance from their neighbors as they are from the centre of the central sphere. The cubeoctahedron is the only shape in 3d that does this, and for this reason Buckminster Fuller called it the Vector Equilibrium. At 19mm diameter this is our smallest version of this form. This demonstrates the natural way that spheres cluster. In the same way that 6 circles perfectly surround a central circle 12 spheres surround a central sphere. It is the most basic example of the tetrahedral symmetry of space itself...
This is the standard two dimensional drawing of the 4 dimensional cube known as the hypercube or tesseract. A technical description can be found on Wikipedia here https://en.wikipedia.org/wiki/Hypercube This design has all 8 cubes identically depicted. Each of the 8 sides of the bounding octagon is the side of a square. Many variations on our unique three dimensionalization of the hypercube can be found here Other pendants available in our shop~ Other Pendants----13 Vector Equilibrium Spheres Fractal - 19mm ----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...
NOTE: the colored 'sandstone' is a grainy slightly soft plastic and is not color fast. (Dont leave it in hot sun or get it wet). 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'...
This is one of my studies in 3 dimensionalizing the tradition Metatron's Cube design. Each 'shell' has 12 spheres just as the traditional design has 6 circles touching the innermost circle. If the centre of each of these 24 spheres were joined to every other point we would have an exact 3D analog of the 2D Metatron's Cube. By analogy then if the 2D form is to be known as Metatron's Cube, then this form must be one dimension higher and be known as Metatron's Hypercube This form is provided in a variety of colors in resin as metals will...
This is the seed that gives rise to the tree that blooms into the flower of life. It is no accident that from some angles it looks like a child's drawing of an atom! The 12 outer vetexes of this Ganesha sphere are the points of the cubeoctahedron, also known as the vector equilibrium. The sphere with 6 axes displays the triangular and hexagonal symmetries of the isotropic vector matrix. This is the most fundamental geometry of space, of particles and atoms, electrical fields, and cosmological bodies. These same symmetries give rise to the double torus through rotation producing an equatorial plane...
This form is one of the simplest expressions of the fundamental symmetries of 3d space. It is composed of 4 circles that intersect at 12 points. The 6 axis show the hexagonal symmetry that Buckminster Fuller proposed is more fundamental than the cubic symmetry that obsesses Western culture. It is no accident that from the right angle the form appears exactly like a child's drawing of an atom. Larger 30mm version available here Related forms available in our shop~ Products related to Flower of life---- Seed of life----Hyperbolic Seed of Life 30mm & 40mm----Center of the Seed of Life-6 petalled flower -22mm 30mm 40mm----Seed...
This form gives an amazing impression of dynamic movement. Like my Toroidal Hypercube it seems to spin in both directions at the same time.All the higher dimensional forms stretch the mind to try and understand their higher dimensional logic. We intuitively recognise that it makes less sense as a 3 dimensional form than as a projection of something simpler operating in a more expansive space. I believe that this form is one of the 4th dimensional 'Archimedian hypersolids' as found in a lecture by one of the 20th centuries pre-emminent geometers H.S.M. Coxeter. Version with hanging ring for pendant available...
This form gives an amazing impression of dynamic movement. Like my Toroidal Hypercube it seems to spin in both directions at the same time. Like all the higher dimensional forms it stretches the mind to contemplate its higher dimensional login. We intuitively recognise that it does makes less sense as a 3 dimensional form than as a projection of something simpler operating in a more expansive space. I believe that this form is one of the 4th dimensional 'Archimedian hypersolids' as found in a lecture by H.S.M. Coxeter. A version without the hanging ring is available here VIEW IN...
This is the 32mm version. We also have a version with a hanging ring here and a larger 50mm version here 'Metatron's Compass' is a unique geometry in many ways. It can also be named 'the 4 Dimensional Vector Equilibrium', 'the 4 dimensional CubeOctahedron', or 'the Toroidal projection of the 24 Cell Polytope', but I prefer to call it Metatron's Compass as I believe it is the secret behind the popular 2 dimensional design known as Metatron's Cube. The importance of Metatron's Cube lies in its unification of the various possible symmetries of space, as shown in the way that the...
This is the 50mm version. We also have a smaller 32mm version here 'Metatron's Compass' is a unique geometry in many ways. It can also be named 'the 4 Dimensional Vector Equilibrium', 'the 4 dimensional CubeOctahedron', or 'the Toroidal projection of the 24 Cell Polytope', but I prefer to call it Metatron's Compass as I believe it is the secret behind the popular 2 dimensional design known as Metatron's Cube. The importance of Metatron's Cube lies in its unification of the various possible symmetries of space, as shown in the way that the outlines of the 5 Platonic solids can be...
Unique 5 Dimensional Cube This is the large version of our 5D Cube. For a choice of sizes please see this page here This is a never before seen projection of the five dimensional cube into 3 dimensions. Five lines meet at each of its 32 vertexes, and every one of its 80 lines is the same length. For an introduction to the geometric concept of the 5D cube you can read its Wikipedia page here VIEW IN FULL SCREEN 3D ~Click PLAY below, and then go full screen using the bottom right icon. Use the left and right mouse button to...
Unique 5 Dimensional Cube This is the medium sized version of our 5D Cube. For a choice of sizes please see this page here This is a never before seen projection of the five dimensional cube into 3 dimensions. Five lines meet at each of its 32 vertexes, and every one of its 80 lines is the same length. For an introduction to the geometric concept of the 5D cube you can read its Wikipedia page here VIEW IN FULL SCREEN 3D ~Click PLAY below, and then go full screen using the bottom right icon. Use the left and right mouse button to...
The Platonic Solids are so important to geometry that I thought to make them as affordable as possible. All 5 are the same approx 35mm height. 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 less...
Unique 5 Dimensional Cube This is a never before seen projection of the five dimensional cube into 3 dimensions. Five lines meet at each of its 32 vertexes, and every one of its 80 lines is the same length. For an introduction to the geometric concept of the 5D cube you can read its Wikipedia page here VIEW IN FULL SCREEN 3D ~Click PLAY below, and then go full screen using the bottom right icon. Use the left and right mouse button to move the geometry. If you have a track pad then you can zoom by using two fingers. Toroidal Projections of...
This is a lovely pendant sized version of the 64 Tetrahedron Grid that forms a key component in the physics of researcher Nassim Haramein. If you would like to learn more about geometry and the new physics I highly recommend the (now free for everyone ) Resonance Projects Delegate Program here Many more variants can be found here This form can be made from 8 star tetrahedrons meeting at a central point. It contains within it besides the 64 small tetrahedrons, octahedrons, cuboctahedrons, and cubes. Use the 3D VIEWER below to really explore this geometry. Once it is loaded use the...
The 64 tetrahedron grid has become popular lately due to the work of physicist Nassim Haramein. He proposes that this shape best represents the balance between the expansive and contractive forces of space. Nassim's work in this regard is based on the work of Buckminster Fuller who called the infinite extension of this form the Isotropic Vector Matrix. If you would like to learn more about geometry and the new physics I highly recommend the (now free for everyone ) Resonance Projects Delegate Program here The 64 tetrahedron grid is a section of the infinite triangular pattern that Bucky Fuller called...
