This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A339528 #11 Dec 16 2020 19:29:50 %S A339528 153736,177144,106984,44312,12120,2464,304,24,0,8 %N A339528 The number of n-faced polyhedra formed when an elongated dodecahedron is internally cut by all the planes defined by any three of its vertices. %C A339528 For an elongated dodecahedron create all possible internal planes defined by connecting any three of its vertices. Use all the resulting planes to cut the polyhedron into individual smaller polyhedra. The sequence lists the number of resulting n-faced polyhedra, where 4 <= n <= 13. %H A339528 Hyung Taek Ahn and Mikhail Shashkov, <a href="https://cnls.lanl.gov/~shashkov/papers/ahn_geometry.pdf">Geometric Algorithms for 3D Interface Reconstruction</a>. %H A339528 Scott R. Shannon, <a href="/A339528/a339528.png">Image showing the 268 internal plane cuts on the external edges and faces</a> %H A339528 Scott R. Shannon, <a href="/A339528/a339528_1.jpg">Image showing the 153736 4-faced polyhedra</a>. %H A339528 Scott R. Shannon, <a href="/A339528/a339528_2.jpg">Image showing the 153736 4-faced polyhedra, viewed from above</a>. %H A339528 Scott R. Shannon, <a href="/A339528/a339528_4.jpg">Image showing the 12120 8-faced polyhedra, viewed from above</a>. %H A339528 Scott R. Shannon, <a href="/A339528/a339528_3.jpg">Image showing the 2464 9-faced polyhedra, viewed from above</a>. %H A339528 Scott R. Shannon, <a href="/A339528/a339528.jpg">Image of all 497096 polyhedra</a>. The polyhedra are colored red,orange,yellow,green,blue,indigo,violet for face counts 4 to 10 respectively. The polyhedra with face counts 11 and 13 are not visible on the surface. %H A339528 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ElongatedDodecahedron.html">Elongated Dodecahedron</a>. %H A339528 Wikipedia, <a href="https://en.wikipedia.org/wiki/Elongated_dodecahedron">Elongated dodecahedron</a>. %e A339528 The elongated dodecahedron has 18 vertices, 28 edges and 12 faces (8 rhombi and 4 hexagons). It is cut by 268 internal planes defined by any three of its vertices, resulting in the creation of 497096 polyhedra. No polyhedra with 12 faces or 14 or more faces are created. %Y A339528 Cf. A339348, A339349, A338622, A338801, A338808, A338825. %K A339528 nonn,fini,full %O A339528 4,1 %A A339528 _Scott R. Shannon_, Dec 08 2020