Kirby’s Rhombic Triacontahedron

The rhombic triacontahedron (RT) dissects into 120 such modules, left and right handed.

Meanwhile, the regular tetrahedron may be sliced into four quadrants, each of which further subdivides into three pairs of left and right handed versions of the same shape, for a total of 24 modules, differently shaped from the ones above.

Those of us schooled in American transcendentalism have our own vocabulary for these geometric concepts, making it easier for our engineers to communicate with one another. The RT dissects into E-modules, the regular tetrahedron into A-modules.

The E-shape resized to match the A-shape in volume is the T-module. You will find all the plane-nets in transcendentalist works but don’t expect too much from your literature profs. Readers in the humanities tend to eschew what appears to be purely technical, even if it’s also architectural. We don’t get many polymaths like Hugh Kenner.

Said rhombic triacontahedron, in which two Platonics are inscribed, relates to the rest of the Platonic Five though the Jitterbug Transformation. The icosahedron and cuboctahedron connect in this way, bridging the two symmetry families (five-fold with four).

At the Lattice Gallery, it was like a movie set, very temporary (Oct-Dec 2019 USA.OR.PDX). It was like a sound stage at Universal Studios (in terms of scenery / content).

Flextegrity C6XTY enters the disruptive future of building materials

Under the hood, C6XTY (a brand of Flextegrity) is CCP-like in that the islanded hubs occupy the centers of close packed rhombic dodecahedrons.

However, in the CCP, the balls kiss (12-around-1) whereas these balls have all shrunk and now rely on an XYZ “freeway system” of viaducts. The octet truss, in contrast, is more hub-center to hub-center (like the IVM itself).

Link to Kirby’s original post.
https://coffeeshopsnet.blogspot.com/2020/04/hypertoons-on-3dtv.html