diff --git a/Test-problems.md b/Test-problems.md index e61c61c..df2a387 100644 --- a/Test-problems.md +++ b/Test-problems.md @@ -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