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The Icosahedron is another of the platonic solids, it represents the element of water.
The union of opposites as being represented by the element of water the Icosahedron and the element of fire the Tetrahedron.
The Square root of 5 is the proportion that opens up the family of relationships which is called the golden proportions.
The Icasahedron represents the element of water which is an opposite element of the Tetrahedron, fire.