Octahedron with Inverted Spikes on all Faces

Folding instructions: Sturdy Edge Module
This is the primary page for this model.
Paper: copy paper (note block)
Type: other modular polyhedron (implies: abstract modular, abstract, balls and polyhedra, geometric, mathematical object, modular balls and polyhedra, modular, multi-sheet, other polyhedra)
Author: Michał Kosmulski
Units used: Sturdy Edge Module, by: Dirk Eisner, Francis Ow, Michał Kosmulski, other/uknown, Tomoko Fuse (square paper)
Unit count: 24
Colors: yellow
In albums: Models with Dubious Classification, Modular ② — medium number of units

Images are licensed under the Creative Commons Attribution-NonCommercial 4.0 International License

This model’s structure is an octahedron whose each face was replaced with a pyramid of three equilateral right triangles, pointing inwards. Units are located on the edges of those pyramids. Due to geometric relations between the octahedron and the cube, this results in the tips of the pyramids all meeting in a single point, in the octahedron’s geometric center. This results in a weird-looking model with lots of empty space around its faces.

Compare with an icosahedron built using the same technique.