Add the ring of polyhedra problem

Vectornaut 2025-07-01 06:31:19 +00:00
parent 5b29795bd6
commit bdeb4f29a9

@ -103,7 +103,7 @@ You can also set up and solve the problem by hand. A good way to do this is to f
#### Source
A version of the ["Frugal firepower"](#frugal-firepower-optimizing) problem that doesn't require hierarchical constraints.
A version of the [“Frugal firepower”](#frugal-firepower-optimizing) problem that doesn't require hierarchical constraints.
#### Statement
@ -111,7 +111,27 @@ Place five unit spheres tangent to each other so that their centers form either
#### Notes
One might reasonably hope that solving this problem will provide a solution of the original Frugal Firepower problem. The idea is that a box that solves the original problem should have "maximal contact" with the spheres, and should therefore be determined by its tangencies with the spheres.
One might reasonably hope that solving this problem will provide a solution of the original Frugal Firepower problem. The idea is that a box that solves the original problem should have “maximal contact” with the spheres, and should therefore be determined by its tangencies with the spheres.
### Ring of polyhedra
#### Source
Rhombic ring of icosahedra
- **Author:** Robert
- **Published:** [“A Rhombic Ring of Icosahedra, Leading to a Rhombic Dodecahedron Made of Icosahedra.”](https://robertlovespi.net/2015/09/15/a-rhombic-ring-of-icosahedra-leading-to-a-rhombic-dodecahedron-made-of-icosahedra/) RobertLovesPi (September 15, 2015).
#### Statement
Choose a rigid ring of polyhedra. Assemble it by constraining distances between vertices or angles between faces.
#### Notes
Here are some examples of interesting rings:
- A ring of eight dodecahedra
- A [rhombic ring](https://robertlovespi.net/2015/09/15/a-rhombic-ring-of-icosahedra-leading-to-a-rhombic-dodecahedron-made-of-icosahedra/) of eight icosahedra
## Exploring configuration spaces