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'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 found within the 2 dimensional pattern. It also makes visible concepts related to maximum stability and minimum entropy, optimal sphere packing, and fractal containment of its own form.
Wearing this form or having it in your space is healing and balancing of any disturbances as it aligns with the fundamental structure of space and time and radiates source energies into its environment. Metatron is the name of an 'Archangel' said to be 'God's Scribe' who takes the divine utterances and gives them comprehensible form before transmitting them into creation.
I have created a web page about Metatron's Compass on www.SacredGeometryWeb.com called The 24 Cell is the 4D Vector Equilibrium and a page explaining the symbology called Mysticism & Metatron
The 24 cell has 24 vertexes, 24 octahedral faces, 96 edges, 96 equilateral triangular faces, 12 cubeoctahedral cross sections, 12 rhombic dodecahedrons, and at least 12 cubes and 3 hypercubes. The distorted outline of ALL of these shapes can be found within Metatron's Compass, and the bounding figure of this projection is the Toroidal Hypercube that is also available.
Technically this form is a new projection of one of the six 4 dimensional Platonic solids known as 'the 24 cell polytope'. The 24 cell combines the Cubic and Octahedral symmetries in one form and is a unique geometry in at least 3 ways.
1) It is the only non tetrahedral form in any dimension that is its own 'dual' which means that its 24 octahedra can be exchanged with its 24 vertexes to create a new version of itself.
2) It is the only non cubic form in any dimension that can tile space without rotation.
3) It is the only Platonic solid in any dimension that is also a Vector Equilibrium
I recommend this 32mm diameter version in Gold Plated Brass.
Here is a page from our book about this higher dimensional geometry.
About Our Products
SacredGeometrical.com is created by web designer, author, and sacred geometry artist Narada Dan Vantari. The 3D designs and all the other artworks here represent many years of study and creative output.
We use 3 companies to print on demand the 3D Geometries and Jewellery, the Clothing, and the Posters. The quality they provide is quite incredible and would not have been possible at almost any price a decade ago!
Our 3D Printed Jewellery and Models
3D printing is a disruptive technology that is changing societies approach to manufacturing almost everything. Along with artificial intelligence and nano-engineering it will change human society as much if not more in the next decades as the computer and internet have done in the last decades!
Our 3D prints are created as 3D computer files and uploaded to the company in New York where state of the art machines (costing around half a million $) are used to print them layer by layer of tiny dots. (Just like a 2D printer going over and over building up a form out of a stack of sheets of paper). Depending on the material the print is then put through other processes, or even used to create a mold that is then filled with the molten metal.
Our Sacred Geometry Clothing Designs