Ancient examples like the Cistene Chapel floor plan, suggest structural fractals of repetition or recursion. Earlier examples can be found in ancient art samples, which lack verification through precise computer modeling.
I have been curious about fractals based on precise platonic solids, especially tetrahedrons.
A fractal-star-tetrahedron is modeled, with protruding star-points to 4 levels). Tetrahedrons symmetrically protrude from successive protrusion levels. Protrude in the same manner as the original star tetrahedron, but only from the new star faces.
Each new level of tetrahedrons protrudes only from the previous level of protruded tetrahedrons, in the above model. Next model below, added selective sets of protrusions, (to fill out the cubic aspect).
I like the way that the recursive protrusions actually outline what has been named the vector equilibrium.
Next is a compact animation of progressively-scaled models integrating the 4 levels of star point tetrahedrons.
In the next model below, the recursive protrusions are kept parallel to base tetrahedrons.
Recursive Tetrahedrons ~ Face Centered
Next i managed to get formZ "automation" to add recursive cubes in diagonal alignment.
I think there are many potential experiments for this sort of geometry. Computerized geometry inspires some visual effects. Careful scaling consideration of applications can apply to antennae or resonance circuitry. Only if one can actually experiment, much more than visual rendering--
Recursive cube with environmental rendering
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