The measurement standard used for 3d mathematical measures is quite simple.
A spherical reference with exact measures, such as an Asterism or Corundum typical to quartz and saphire [ star sapphire, black star, diopside ] provides both the spatial differential required for accurate 3d measurements at depth as well as the intrinsic measure itself.
The base-6 multiplier is derived from the observational angle of the crystal, whereas the crystal's star is relative to its crystal alignment. As one's vector of view changes, the star responds accordingly, providing accurate and very refined measures at any scale. (assuming visibility)
A 3d sphere of 6 point star material will easily facilitate both measures as well as accurate calibration; moreso, it's electrical resonance in any of the primary materials is symmetrical and multiplicative, providing intrinsic spread spectrum field characteristics.
We are looking for a specific optical simulation for these crystal materials, especially the depth differential for the materials of various densities.
A certain material is bound to have the exact visual qualities that correspond to the angular multipliers on a base-6 sphere. I'll have to play with one to determine viable angles and spatial characteristics, however all I have physically available are the 4-point black stars at this time.
Ruby Star Corundum or Asteric
Asterims, black star
chatoyancy is the optical characteristic on a single crystal boundary
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