arachnehedrons

Arachne·hedronArachne from Ancient Greek ἀράχνη (arákhnē, spider), and -hedron from Ancient Greek ἕδρα (hédra, face of a geometrical solid). Arachnehedrons are polyhedra that have been “woven” through themselves. (Formerly known as yodawgahedrons. And yes I made these terms up. If anyone knows of a “legitimate” name for this idea please let me know!)

Arachne was a mortal weaver who challenged Athena to a weaving contest in Ancient Greek mythology—Athena turned her into a spider.

The first shapes began as stellations of the Platonic solids (except the cube) which then had holes cut in them so that they could be “woven through” themselves and connected elsewhere. Over time they've converged on certain properties, like mixing gradual curves with sharp edges and points. Each is made of “spikes” and “hubs” that connect to “spokes,” with the spokes often twisting so that a wide face on one side of a spoke transitions into a thin face on the next.