Hey there!
I just wanted to let anyone interested here know that the set of noble polyhedra (polyhedra that are isogonal and isohedral) were recently proven complete! There are 146 of them excluding the infinite number of ones with prismatic symmetry.
A full list can be found at this link here, and if anyone has any questions I can answer them here!
Completeness of Noble Polyhedra
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Completeness of Noble Polyhedra
by Plasmath » Fri Oct 27, 2023 8:40 pm
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Re: Completeness of Noble Polyhedra
by mr_e_man » Fri Nov 03, 2023 8:52 am
What methods did you use to find them?
I assume you started with the symmetry groups (or equivalently the convex isogonal polyhedra)...
I assume you started with the symmetry groups (or equivalently the convex isogonal polyhedra)...
ΓΔΘΛΞΠΣΦΨΩ αβγδεζηθϑικλμνξοπρϱσςτυϕφχψωϖ °±∓½⅓⅔¼¾×÷†‡• ⁰¹²³⁴⁵⁶⁷⁸⁹⁺⁻⁼⁽⁾₀₁₂₃₄₅₆₇₈₉₊₋₌₍₎
ℕℤℚℝℂ∂¬∀∃∅∆∇∈∉∋∌∏∑ ∗∘∙√∛∜∝∞∧∨∩∪∫≅≈≟≠≡≤≥⊂⊃⊆⊇ ⊕⊖⊗⊘⊙⌈⌉⌊⌋⌜⌝⌞⌟〈〉⟨⟩
ℕℤℚℝℂ∂¬∀∃∅∆∇∈∉∋∌∏∑ ∗∘∙√∛∜∝∞∧∨∩∪∫≅≈≟≠≡≤≥⊂⊃⊆⊇ ⊕⊖⊗⊘⊙⌈⌉⌊⌋⌜⌝⌞⌟〈〉⟨⟩
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