(64 Items)

Please be aware if you choose the steel materials that they are prone to rusting and not really recommended for jewellery. This model is an unusual projection of the Hypercube that equally distorts all 8 of its cubes rather. 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 6 lines that nearly meet at two points near centre. I call it the Toroidal Hypercube as it distinctly gives the impression of a toroidal (doughnut/smokering) shape. It is also...

This is the largest of our many versions of the Toroidal Time Traveller Hypercube. 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 rather. 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 6 lines that nearly meet at two points near centre. I call it the Toroidal Hypercube as...

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 for a 50mm geometry, giving it a much more delicate look. ~ The Hypercube is the 4 dimensional analog of the cube. For full info on it see the Wikipedia article here.The standard models of a hypercube flatten some of the cubes, distorts others, and even makes some smaller or bigger, whilst keeping others normal. This model is an...

~ This version of the hypercube has fairly thick lines giving it a more chunky look. 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 for a 50mm geometry, giving it a much more delicate look. ~ The Hypercube is the 4 dimensional analog of the cube. For full info on it see the Wikipedia article here.The standard models of a hypercube flatten some of the cubes,...

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 for a 50mm geometry, giving it a much more delicate look. ~ The Hypercube is the 4 dimensional analog of the cube. For full info on it see the Wikipedia article here.The standard models of a hypercube flatten some of the cubes, distorts others, and even makes some smaller or bigger, whilst keeping others normal. This model is an...

I love this new experiment in space filling geometries :-) This form is 12 rhombidodecahedrons surrounding a central 13th one.   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.  Related forms available in our shop~ Other Products related to "Honeycomb"----RhombicDodeca Honeycomb 50mm ----Bitruncated Cubic Honeycomb 80mm----Truncated Octahedral Honeycomb - 28mm----7 sided honeycomb cluster pendant    

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. 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 and when this pattern is extended Fuller called it the Isotropic...

This never before seen 4 dimensional form is based on the idea of triangles wrapped around a sphere to create the Vector Equilibrium. The best place to find out more about the VE is here Here we have 10 tetrahedrons wrapped around a hypersphere (and then of course they are projected back into 3D space so that we can see them). Here is the closest 2 dimensional equivalent using 8 triangles (including the grey one at the back) that could be folded up into a vector equilibrium. VIEW IN FULL SCREEN 3D ~Click PLAY below, and then go full screen...

This never before seen 4 dimensional form is based on the idea of triangles wrapped around a sphere to create the Vector Equilibrium. The best place to find out more about the VE is the website of my friend Marshal Lefferts here Here we have 10 tetrahedrons wrapped around a hypersphere (and then of course they are projected back into 3D space so that we can see them). Here is the closest 2 dimensional equivalent using 8 triangles (including the grey one at the back) that could be folded up into a vector equilibrium. VIEW IN FULL SCREEN 3D ~Click PLAY...

The 48 spheres surrounding the central sphere form 4 shells each of which is a cubeoctahedral sphere or vector equilibrium. 24 spheres around a central sphere make the 3d Metatrons Cube, but here we have a 3d Metatrons Cube inside another 24 spheres. By analogy this is then a variation of the 4D Metatrons Cube which should indeed have 48 hyperspheres surrounding a central hypersphere in two layers of 24. I like this form a lot :-) Visually the extra shells make the concentric circles much more visible. Adding magnets to it in the same manner as with the smaller...

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...

See our complete range of Sacred Geometry designs in our Shapeways shop here and visit our Info site and Forum at SacredGeometryWeb.com The Icosahedron and Dodecahedron are 2 of the 5 Platonic solids that share a 5 symmetry. They are 'duals' of each other as is shown in this model where the innermost Icosa is stellated to produce the Dodeca that is again stellated to produce the larger Icosa. The Icosa has 12 vertexes and 20 faces whilst the Dodeca has 12 faces and 20 vertexes. The lines here are a little thick at 2mm but this makes them stronger...

The Icosahedron and Dodecahedron are 'duals', the 5 symmetry Platonic Solids. They nest within each other beautifully, each one extending its edges to create a stellated form the points of which form the other. We have 3 different color schemes of this form. The 5 symmetry gives this form multiple Golden Mean proportions. In fact every edge is a perfect Golden Mean proportion to another edge ! Whilst the 3/4/6 symmetry Platonics are fundamental to the structure and stability of matter and spacetime, the 5 symmetry solids are unstable and the key to the existence of life. The DNA is...

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'...

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...

The 64 tetrahedron grid has become popular lately due to the work of physicist Nassim Haramein. He believes 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 this form the Isotropic Vector Matrix. Isotropic means the same in all directions. Fuller said about it, "the Isotropic Vector Matrix is the zero starting point for all happenings and non happenings: It is the empty theatre, and empty circus, and empty Universe, ready to accomodate any act and any audience". This form...