History of Kissing numbers $\tau_n$

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when	who	what
2026-09-06 13:33	bmatschke	the arXiv number of 5 references was in the sentence, where it is text; moved to the `arxiv` field, which the page renders as a link to the abstract	current reviewed
2026-09-06 03:23	zeta3	after its critique: the comment on lattice kissing numbers no longer says the lattice number is smaller from n = 9 on, which the rows for 16, 22, 23 and 24 contradicted; OEIS A257479 and MathWorld are now cited; the Hermite-constants line names the six dimensions; the upkeep sentence and a repeated
2026-09-06 03:08	zeta3 with Claude Code, table-build@bc74	the eighteen interval entries stored as mappings (a str subclass serialised as a Python object by the YAML writer) replaced by the plain strings [a, b]; values unchanged
2026-09-06 03:02	zeta3 with Claude Code, table-build@bc74	kissing numbers tau_n for n <= 24: the exact value in the six dimensions where it is known, and otherwise the interval between the largest arrangement known and the smallest upper bound proven, as of 6 September 2026, with the lattice lower bounds for n <= 8 recounted from Cartan matrices
2026-09-06 03:02	zeta3	checking that this table can be written to
2026-09-06 03:02	zeta3 with Claude Code, table-build@bc74763	draft: kissing numbers tau_n, prose first, entries to follow from generate.py

What changed between 2026-09-06 03:23 and 2026-09-06 13:33

from line 135 (6 lines, 1 more than before) @@ -135,5 +135,6 @@

   dLLdMK:     bib: D. de Laat, N. Leijenhorst and W. H. H. de Muinck Keizer, Optimality and-      uniqueness of the D4 root system, preprint, 2024, arXiv:2404.18794.+      uniqueness of the D4 root system, preprint, 2024.+    arxiv: '2404.18794'   Watson:     bib: G. L. Watson, The number of minimum points of a positive quadratic form,

from line 157 (18 lines, 4 more than before) @@ -156,14 +157,18 @@

   CohnLi:     bib: H. Cohn and A. Li, Improved kissing numbers in seventeen through twenty-one-      dimensions, preprint, 2024, arXiv:2411.04916.+      dimensions, preprint, 2024.+    arxiv: '2411.04916'   Ho:     bib: B. S. Ho, A new lower bound for the kissing number in 19 dimensions, preprint,-      2026, arXiv:2603.10425.+      2026.+    arxiv: '2603.10425'   TAY:     bib: R. Takhanov, Z. Assylbekov and S. Yun, Structure of kissing arrangements-      in R^12 and a place for the 841st sphere, preprint, 2026, arXiv:2606.18984.+      in R^12 and a place for the 841st sphere, preprint, 2026.+    arxiv: '2606.18984'   Bianchi:     bib: F. Bianchi, Y. Kwon, A. Pappu and J. Zou, Harnessing the collective intelligence-      of AI agents in the wild for new discoveries, preprint, 2026, arXiv:2606.10402.+      of AI agents in the wild for new discoveries, preprint, 2026.+    arxiv: '2606.10402'   JJP:     bib: M. Jenssen, F. Joos and W. Perkins, On kissing numbers and spherical codes