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math.CO2020★ 1 cited
An Exceptional Combinatorial Sequence and Standard Model Particles
Benjamin Nasmith
Three-graded root systems can be arranged into nested sequences. One exceptional sequence provides a natural means to recover some structures and symmetries familiar in the context…
math.CO2020
Octonions and the two strictly projective tight 5-designs
Benjamin Nasmith
In addition to the vertices of the regular hexagon and icosahedron, there are precisely two strictly projective tight 5-designs: one constructed from the short vectors of the Leech…