Thirty icosahedrons, (or ‘icosas’), are placed on the thirty edges of one icosa, and precisely scaled in volume such that each icosa just touches their neighboring icosa, and the original icosa at this point is larger in size than others. A word was needed to describe this kind of “concentric clustering” and the word ‘multiplexing’ might suffice for now.
The nine-view image displays key view points for more contemplation of what becomes many kinds of possible arrangements. Mental exercising with precise geometry can provide refreshing balances with mankind’s emotionality gone astray.
At this point of study these “window signatures” almost surely represent locations of the armature vertices. However more geometric modeling is needed to establish explanations.
In this work the math verifies precision and powers computer apps to partly automate these geometrically artistic constructions. Workof many varied kinds of sacred art can basically invoke higher emotionality which is sorely needed today, to ensure the lower emotionality doesn’t crash mankind into hate and distress. We should know by now that where attention goes, energy releases, and uplifting energies greatly improve life on earth.
The stars likely result from transparency of volumes and multiplicities of overlapping boundaries, where the view is an orthographic projection, (also called axonometric).
The 2d star forms represents more icosa-volume alignments intandem from multiple icosas. These add up more thickness for the rendering function. That these actually form stars is entirely a mathematical or engineering function, while at the same time it can increase the conscious of matter than could randomly painted images.
Unfortunately, the geomety app used an convention of doubling the count of ‘edges’ and ‘faces’, due to the considerable task with coding at various levels, therefore some of the figures included here are double or halved depending on conventions used. In due course editing might clear all this up, but too mach app complication for the user presently prevent fixing the, and the visual-mental focus is deemed adequate for www publisjing.
Easier naming and sharing was expected, but defining and distinguishing polyhedral properties unambiguously became a bit tedious for conversation. The value of terms might help mindful exploration, but some minds may prefer visual contemplation alone, and ignore verbiage as a distant option.
Various procedures for modeling come to mind after posting the first series linked on the index below, and differing brands of 3d apps may each offer other kinds of tools to use. The ratios of volume sizes may deserve reviewing as another avenue of study. Multiple strings of polyhedra may also become Continuing sets of successive tiers extending outwardly is also an appealing idea. These and other tasks might follow.
