1 citations · 1 across the 3 of their papers we have counts for
4 papers
Rational Angle Sets and Tight t-Designs
Benjamin Nasmith
Given a finite subset of a sphere or projective space, known as a design, we can compute the strength and angle set of that design. When the strength and angle set meet certain bou…
Octonion Integers and Tight 5-Designs
Benjamin Nasmith
The two strictly projective tight 5-designs are the lines spanned by the short vectors of the Leech lattice and a set of points in the octonion projective plane that define a gener…
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…
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…