Add the ring of polyhedra problem
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@ -103,7 +103,7 @@ You can also set up and solve the problem by hand. A good way to do this is to f
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#### Source
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A version of the ["Frugal firepower"](#frugal-firepower-optimizing) problem that doesn't require hierarchical constraints.
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A version of the [“Frugal firepower”](#frugal-firepower-optimizing) problem that doesn't require hierarchical constraints.
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#### Statement
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@ -111,7 +111,27 @@ Place five unit spheres tangent to each other so that their centers form either
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#### Notes
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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.
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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.
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### Ring of polyhedra
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#### Source
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Rhombic ring of icosahedra
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- **Author:** Robert
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- **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).
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#### Statement
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Choose a rigid ring of polyhedra. Assemble it by constraining distances between vertices or angles between faces.
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#### Notes
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Here are some examples of interesting rings:
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- A ring of eight dodecahedra
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- 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
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## Exploring configuration spaces
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