In the existing OEIS examples, the first number in a CS is always 1 (there's exactly 1 vertex at distance 0, namely the vertex itself), and there are no trailing 0 entries. Fred Lunnon writes:
Howzat?
[ 0, 3, 11, 8, 18, 10, 18, 8, 11, 3, 1, 0 ] [ 0, 5, 5, 15, 10, 20, 10, 15, 5, 5, 1, 0 ] [ 0, 6, 6, 15, 9, 18, 9, 15, 6, 6, 1, 0 ]
WFL
On 1/5/20, Fred Lunnon <fred.lunnon@gmail.com> wrote:
Neil,
Actual vertices number 20x 6-valent + 12x 5-valent + 60x 3-valent --- emphasising that the 3 CS's might prove manually quite hard work!
But as it happens, a Magma tool I developed for the (substantial) project associated with that video facilitates building the polyhedral boundary 1-skeleton, from which CS would be easily derivable.
If you already have software for latter, do you want the graph --- say, as a list of pairs of integers (vertices)?
Fred
On 1/5/20, Neil Sloane <njasloane@gmail.com> wrote:
Fred, nice pics! For the first one, Tardy Christmas tree bauble, or maybe New Year detonation --- https://www.dropbox.com/s/6uiwzac2rwaoqwu/enneaconta_movie.8.gif can you get me the two coordination sequences? It looks like there are two kinds of vertices, trivalent and pentavalent, so there will be two sequences, both finite of course.
To see what I mean, look at https://oeis.org/A330564, where I did the small stellated dodecahedron, which has pentavalent and trivalent vertices. Or A329500, where I did the truncated icosahedron or Buckyball (which only has trivalent vertices)
On Sun, Jan 5, 2020 at 3:17 PM Fred Lunnon <fred.lunnon@gmail.com> wrote:
Tardy Christmas tree bauble, or maybe New Year detonation --- https://www.dropbox.com/s/6uiwzac2rwaoqwu/enneaconta_movie.8.gif (ignore any pop-ups; open in browser if static)
Delayed owing to a technical hitch while packing polytope: see https://www.dropbox.com/s/otp534dy9gye0in/enneaconta_evert.gif Is it Anish Kapoor's latest wheeze to make Orbits great again? A fairground carousel with elf & sleighty issues? A wrecked novelty umbrella? No --- it's an everted enneacontahedron!
Aren't you glad you asked ... WFL