Bonnie Stewart's G3 polyhedron

thingiverse

Stewart's groundbreaking discovery, known as the G3 polyhedron, boasts faces made up of regular polygons all sharing the same edge length. This remarkable shape features 3 pentagonal faces, 3 square faces, and a staggering 7 triangular faces. Stewart's keen eye for geometry led him to uncover an astonishing 8 instances of G3 lurking within a larger, more intricate polyhedron. The significance of this find lies in its shared pentagonal faces with the dodecahedron and the presence of vertices where single triangles, squares, and pentagons converge. A striking visual representation of the G3 polyhedron can be seen alongside two dodecahedrons - one minus a G3 and another minus two G3s. The OpenSCAD code that accompanies this marvel is available for viewing at http://polyhedra.doskey.com/G3.html and http://www.orchidpalms.com/polyhedra/misc/g3.html. **Printer Settings** **Brand:** MakerBot **Model:** MakerBot Replicator (5th Generation) **Raft Options:** Doesn't Matter **Resolution:** 0.3 mm The accompanying OpenSCAD program delves into the construction of G3 polyhedra, starting with a dodecahedron as its foundation. This innovative approach results in the formation of an icosahedron comprised of triangles from multiple G3s. The interactive illustrations within the OpenSCAD program offer a unique glimpse into this fascinating geometric world.