A study of the possible symmetries of space. This is an extension of my other models based on the cubeoctahedron. This one has the 3 more axes showing the full cubic and octahedral symmetries. The Cubeoctahedral in blue with the Octahedral green.
This is one of my studies in 3 dimensionalizing the tradition Metatron's Cube design. I particularly enjoy its atomic rings from a certain perspective, and the ease with which you can see the 12 directions from the center Here we have two sets of 12 points surrounding the centre. If each of these points 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 dimensiona higher and be known as Metatron's Hypercube...
The 5 Platonic Solids fit together inside each other. This arrangement has the Icosahedron on the outside, then a stellation of the Dodecahedron, the Cube, a Star Tetrahedron, and at the center an Octahedron. These 5 forms are the only 'perfect' or Platonic solids that each have all their edges, vertexes, angles, and faces identical. They symbolize the traditional 5 Elements from which the Universe is made: Earth Cube, Icosa Water, Tetra Fire, Octa Air, and Dodeca Spirit. I have a poster artwork about the 5 Elements called the Universal Yoga Mandala that is available from www.Yogaverse.com Theosophy calls a...
Metatron's Cube and the Flower of Life are two ancient designs that are deeply related to each other as you can see in this model.. The back layer is the traditional Flower of Life in Yellow, and then Metatron's Cube is overlaid on it in 3 layers to bring out its geometries more clearly. In full color and large size like this it makes a wonderful wall hanging, altar piece, or talking point. Both designs are explorations of the way circular forms cluster together in SpaceTime. Both of them show the fundamental symmetries, and are blueprints for the Platonic Solids....
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...
The Cube-octahedron is a key shape for understanding the geometry of 3D space. It belongs to a family of cubic forms that includes the cube, octahedron, star tetrahedron, 64 tetrahedron grid, Metatron's Cube, the Flower of Life, the Rhombic Dodecahedron, and more. Here a smaller one is nested inside the larger one and each of their vertices is a smaller spherical cubeoctahedron. It is also a study for the 3D Metatron's Cube as the spheres surround the central sphere in the same manner, and if you hold the form at the right angle you can see the Metatron's Cube projection....
This is one of my most successful studies in 3 dimensionalizing the tradition Metatron's Cube design. 12 Spheres surround the central sphere creating a cubeoctahedron, and 12 more surround this to create a larger cubeoctahedron. If the centres of these 24 spheres were all connected to each other we would have the exact analog. As the 2D design is known as Metatron's Cube it seems fitting that the 3D form should be called Metatron's Hypercube - especially as the secret of this form is the way it catches the shadows of higher dimensional shapes. If the centre of each of...
This is one of my studies in 3 dimensionalizing the tradition Metatron's Cube design. I particularly enjoy its atomic rings from a certain perspective, and the ease with which you can see the 12 directions from the center Here we have two sets of 12 points surrounding the centre. If each of these points 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 dimensiona higher and be known as Metatron's Hypercube...
" The Toroidal Time Traveler Hypercube is a new 3 dimensionalization of the 4 dimensional cube. It represents the ability to navigate beyond time and space. It is the unit in which spacetime is measured. This version of the hypercube has fairly thin lines giving it a more delicate 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...