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math.MG2026
Improved lower bounds for the kissing number in dimensions 49 to 61
Dmitry Kamenetsky
We give explicit kissing configurations in R^d for every d = 49, ..., 61. The lower bound is improved over the best previously published value in all thirteen dimensions, by margin…
math.MG2026
Towards Strongly Aperiodic Monotiles in Higher Dimensions
Dmitry Kamenetsky
The discovery of Chair44 (Tsiokos, 2026) settled the three-dimensional einstein problem with a strongly aperiodic polyhedral monotile in . This note extends the under…