(17 Items)

The  Icosahedron and Dodecahedron are 'geometric duals' of each other. Their faces and vetices share the same symmetry axes, which is why they fit together so neatly.  The five symmetry forms are entirely golden ratio proportions. Compared to the length of one edge, any opther measurement between vertexes, face centres, and even the mid points between them ... everything will be some simple relationship to phi (the golden ratio - 1.618... ) The five symmetry is the essence of life as shown by xray cross sections of the DNA double helix. The pentagonal forms do not fit neatly into the...

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 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. Joining the outer points would create an icosahedron and we also offer a version like this. 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...

The  Icosahedron and Dodecahedron are 'geometric duals' of each other. Their faces and vetices share the same symmetry axes, which is why they fit together so neatly.  Here we have a very small icosahedron at the center,  expanded by stellation to a dodecahedron, which is expanded again to the outer icosahedron. (this process of containing these two forms inside each other can be continued to infinity in both directions. The five symmetry forms are entirely golden ratio proportions. Compared to the length of one edge, any opther measurement between vertexes, face centres, and even the mid points between them ......

The Dodecahedron and Icosahedron are technically called 'duals' of each other. As you can see here  when the vertexes of a dodecahedron are extended to 'stellate' it, it fits perfectly  inside its larger dual icosahedron. This process can be continued in both directions to infinity. These two '5 symmetry' forms are critical to the processes of organic life as they are part of the spiral structure of the DNA, (as can be seen in a cross section of the DNA). VIEW IN FULL SCREEN 3D ~Click PLAY below, and then go full screen using the bottom right icon. Use the...

The small spheres on the vertexes of this model make it easier to wear whilst hugging people without the risk of unpleasant sharp vertexes. Read about the vector equilibrium at www.Cosmometry.net 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 Cuboctahedron products----More Vector equilibrium Products----Vector Equilibrium - Cuboctahedron 40mm----Stellated Vector Equilibrium Cuboctahedron Sacred ----Vector Equilibrium Cluster 8xVE 7xOcta 50mm----Vector Equilibrium Cuboctahedrons Grid 8xOcta 7xVE----Metatron's...

​6 Vector Equilibriums (cuboctahedrons) cluseter around a central one, the gaps filled with 8 octahedra. Here is some great info about the 14 sided cuboctahedron that Buckminster Fuller called the vector equilibrium - http://cosmometry.net/vector-equilibrium-&-isotropic-vector-matrix​  and  http://vectorequilibrium.com/article-vector-equilibrium Buckminster Fuller's 'jitterbug' shows that there is a way to collapse the VE down to the octa. There is a cellular universe theory that says that parts of the universe are expanding whilst others contract. This geometry is an example of how such cells could fit together.  http://www.cellularuniverse.org Related forms available in our shop~ Other Cuboctahedron products----More Vector equilibrium Products----Vector Equilibrium - Cuboctahedron 40mm----Stellated Vector Equilibrium Cuboctahedron Sacred ----Vector Equilibrium...

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    

This form is a study of the nature of spacetime itself. It is based on Buckminster Fuller's work with the Vector Equilibrium. If you would like to learn more about geometry and the new physics I highly recommendthe Resonance Projects Delegate Program here   As shown in the image above, space can be tiled with a combination of Vector Equilibriums (aka Cuboctahedrons) and Octahedrons in the spaces inbetween. As Fuller showed using rubber connections at the vertex the cuboctahedron can be collapsed down into the octahedron, so these two forms are intimately related to each other. Above is an animation...

This shape is made from 12 circles that create 12 five pointed stars. It is another variation on the starcage dodecahedral theme. Variations are also here The Cage of Stars ~ by NDV The Angel trap Is a jewel that contains An infinity of stars And if once a spirit Should glance into its depths He will forever remain Lost within its heart For the endless reflections Of time will circle round him And in each face He will find a small part Of the infinite design Like a memory to confound him With impossible meanings Like invisible bars And...

  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.  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...

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 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...

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...

~ 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,...