The blue kites have sides which are in the golden ratio (~1.618:1), while the yellow kites’ sides are in a ratio equaling the square of that number, or approximately ~2.618:1.
Monthly Archives: April 2022
Another Tessellation of Concave Octagons
Tessellation of Equilateral, Concave Octagons
A Fifty-Faced Polyhedron Featuring Eighteen Regular Octagons
In addition to the eighteen regular octagons, this polyhedron also has eight equiangular hexagons and twenty-four isosceles trapezoids among its fifty faces. I made it using Stella 4d, which you can try, for free, right here.
Repeated Augmentations of a Dodecahedron With More and More Dodecahedra
Here’s a single dodecahedron.
A new “cluster polyhedron” can be made by augmenting each pentagonal face with another dodecahedron.
If you can do it once, you can do it again, augmenting each pentagon with a new dodecahedron.
I made these polyhedral clusters using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.
Tessellation of Regular Pentagons and Rhombi
Two Views of a Heptagrammic Dipyramid
I made these using Stella 4d, which you can try for free right here.
A “Barrel” Polyhedron With Heptagonal Bases
Here is this polyhedron’s dual.
I made these using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php.
Octagonal/Heptagonal Mixed Antiprism
I made this using Stella 4d, which you can try for free at this website.
Heptagonal/Hexagonal Mixed Antiprism
I made this using Stella 4d, which you can try for free right here.