Tootfinder

Chip design software maker Cadence agrees to acquire Stockholm-based Hexagon's design and simulation software business for ~$3.18B in cash and stock (Nathan Owens/Manufacturing Dive)
https://www.manufacturingdive.com/news/cad

Cadence Design Systems to spend $3.2B on Hexagon’s simulations tech
The acquisition would bolster the industrial software maker’s position in the growing structural analysis market used widely by Boeing, Lockheed Martin, Toyota and other suppliers.

Magic Hexagon Formulas
Geoffrey B. Campbell
https://arxiv.org/abs/2508.10961 https://arxiv.org/pdf/2508.10961

Magic Hexagon Formulas
We give a variety of magic hexagons of Orders from 3 to 7, many of which are extensions of known results. We also give a theorem that their are an infinite number of magic hexagons of Order $n$ for any fixed positive integer $n$ for any arbitrary magic sum $M=m$ to be any desired integer $m$. We instigate theory and ideas associated with formula-based versions of the magic hexagons, which seem to be new.

Some #Rust shilling, retrofitting the "too grumpy to improve" meme, offering a Rust gear instead of the hexagon C wheel (logo).

Chirality reversal at finite magnetic impurity strength and local signatures of a topological phase transition
Ruiqi Xu, Arnab Seth, Itamar Kimchi
https://arxiv.org/abs/2510.11707

Chirality reversal at finite magnetic impurity strength and local signatures of a topological phase transition
We study the honeycomb lattice with a single magnetic impurity modeled by adding imaginary next-nearest-neighbor hopping ih on a single hexagon. This Haldane defect gives a topological mass term to the gapless Dirac cones and generates chirality. For a small density of defects Neehus et al [arXiv:2405.19289] found that the system's chirality reverses at a critical hc ~ 0.95 associated with an unexpected tri-critical point of Dirac fermions at zero defect density. We investigate this zero-densit…

Cadence Design to acquire Hexagon's Stockholm-based design and engineering unit, a computer-aided engineering software provider, for €2.7B in cash and stock (Juby Babu/Reuters)
https://www.reuters.com/business/cadence-design-bu…

I'm currently tinkering with the calculations behind these geometries, but I'm not sure about some of the parameters in order to make them completely generic. #svg #javascript #maths

🇺🇦 #NowPlaying on BBCRadio3's #ThroughTheNight
Sergey Prokofiev & Hexagon Ensemble:
🎵 Quintet in G minor, Op 39
#SergeyProkofiev #HexagonEnsemble

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures
Alisa Knizel, Leonid Petrov
https://arxiv.org/abs/2507.22011 https://arxiv.org/pdf/2507.22…

Random Lozenge Waterfall: Dimensional Collapse of Gibbs Measures
We investigate the asymptotic behavior of the q-Racah probability measure on lozenge tilings of a hexagon whose side lengths scale linearly with a large parameter $L$, while the parameters $q\in(0,1)$ and $κ\in \mathbf{i}\mathbb{R}$ remain fixed. This regime differs fundamentally from the traditional case $q\sim e^{-c/L}\to1$, in which random tilings are locally governed by two-dimensional translation-invariant ergodic Gibbs measures. In the fixed-q regime we uncover a new macroscopic phase, t…

The fundamental module of $S_3$-symmetric tridiagonal algebra associated with cycles
J. V. S. Morales
https://arxiv.org/abs/2508.13540 https://arxiv.org/pd…

The fundamental module of $S_3$-symmetric tridiagonal algebra associated with cycles
Terwilliger recently introduced the $S_3$-symmetric tridiagonal algebra, a generalization of the tridiagonal algebra. This algebra has six generators naturally associated with the vertices of a regular hexagon: adjacent generators satisfy the tridiagonal relations, while non-adjacent ones commute. To each $Q$-polynomial distance-regular graph $Γ$, we associate scalars $β, γ, γ^*, \varrho, \varrho^*$, and define the corresponding $S_3$-symmetric tridiagonal algebra $\mathbb{T} = \mathbb{T}(Î…

🇺🇦 #NowPlaying on BBCRadio3's #ThroughTheNight
Edward Rushton & Hexagon Ensemble:
🎵 Comfort & Courage
#EdwardRushton #HexagonEnsemble