Packing and covering in dimensions (aspects of discrete geometry) [See also 05B40, 11H31]
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Pairwise touching cylinders (AlphaEvolve problem 54). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Packing in a dilate (AlphaEvolve problem 35). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Tammes problem (AlphaEvolve problem 34). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
A Linear Programming Bound (AlphaEvolve problem 13). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Sphere Packing (AlphaEvolve problem 12). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Kissing numbers (AlphaEvolve problem 8). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Sphere packing density in mathbb R ^4 : determine C 36 or improve its bounds; the repository records pi^2/16 approx 0.616850 (lower) and 0.644421 (upper).
Kissing number in dimension 5 : determine C 29 or improve its bounds; the repository records 40 (lower) and 44 (upper).
These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.
Springer Nature
Discrete geometry and geometric computation
2015 · 1 questions extracted
MSC2020 © Mathematical Reviews (AMS) and zbMATH · CC BY-NC-SA 4.0 · Official PDF, page 138