From hard to soft dense sphere packings: The cohesive energy of Barlow structures using exact lattice summations for a general Lennard-Jones potential
There are infinitely many distinguishable dense sphere packings in dimension three (Barlow
structures) with maximum packing density of ρ= π/√ 18. While Hales [Hales, TC Ann. Math …
structures) with maximum packing density of ρ= π/√ 18. While Hales [Hales, TC Ann. Math …
[HTML][HTML] The theory of Barlow packings: Basic properties and cohesive energies from exact lattice summations within the sticky hard-sphere model
The theory of periodic Barlow multi-lattices (X 1 X 2… XN)∞ with X i∈{A, B, C} and X i≠ X i+
1 of stacked two-dimensional hexagonal close-packed layers is presented and used to …
1 of stacked two-dimensional hexagonal close-packed layers is presented and used to …
On feasible body, aerodynamic, and navigation Euler angles for aircraft flight
DS Bernstein - Journal of Guidance, Control, and Dynamics, 2019 - arc.aiaa.org
ATTITUDE modeling is a central topic for vehicles that move in three dimensions. The
orientation of a rigid body can be represented by a real 3× 3 matrix R that is orthogonal, that …
orientation of a rigid body can be represented by a real 3× 3 matrix R that is orthogonal, that …
Enumerating necklaces with transitions
F Bianconi, E Brugnoli - Bulletin of the Australian Mathematical …, 2022 - cambridge.org
Necklaces are the equivalence classes of words under the action of the cyclic group. Let a
transition in a word be any change between two adjacent letters modulo the word's length …
transition in a word be any change between two adjacent letters modulo the word's length …