Tootfinder

Domino tilings, nonintersecting lattice paths and subclasses of Koutschan-Krattenthaler-Schlosser determinants
Qipin Chen, Shane Chern, Atsuro Yoshida
https://arxiv.org/abs/2507.15665

Domino tilings, nonintersecting lattice paths and subclasses of Koutschan-Krattenthaler-Schlosser determinants
Koutschan, Krattenthaler and Schlosser recently considered a family of binomial determinants. In this work, we give combinatorial interpretations of two subclasses of these determinants in terms of domino tilings and nonintersecting lattice paths, thereby partially answering a question of theirs. Furthermore, the determinant evaluations established by Koutschan, Krattenthaler and Schlosser produce many product formulas for our weighted enumerations of domino tilings and nonintersecting lattice …

Ordine privo di periodicit\`a: il fascino matematico delle tassellazioni
Francesco D'Andrea
https://arxiv.org/abs/2505.21379 https://

Ordine privo di periodicità: il fascino matematico delle tassellazioni
This is a review (in Italian) on aperiodic tilings of the plane intended for a general audience. First, we recall some basic results about lattices and periodic tilings. Then, we move on to one-dimensional (domino) tilings and Wang tilings. We present a beautiful proof of the existence of an aperiodic set of Wang prototiles due to J. Kari. Next, we discuss Penrose tilings and their properties. Finally, we briefly present the recent discovery by D. Smith and his collaborators of an aperiodic mon…

Demokratie im Stresstest: Das Anti-Autokratie-Handbuch seziert, wie Populismus, Polarisierung und Post-Wahrheit weltweit Demokratien aushöhlen. 26 Werkzeuge zeigen, wie wir Ohnmacht überwinden – von digitaler Selbstverteidigung bis zum Domino-Effekt des Ungehorsams. Autokratien sind kein Schicksal, sondern eine Herausforderung
#netzpolitik.org

Anti-Autokratie-Handbuch: 26 Werkzeuge zur Verteidigung der Demokratie
In einem Handbuch geben Wissenschaftler*innen aus den USA und Europa Ratschläge, wie sich Menschen im akademischen Betrieb gegen aufkeimenden Autoritarismus stemmen können – abgestuft nach Risiko-Level. Das ist nicht nur für Forschende lesenswert.

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions
Alexey Bufetov, Leonid Petrov, Panagiotis Zografos
https://arxiv.org/abs/2507.08560

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions
We study the asymptotic behavior of random domino tilings of the Aztec diamond of size $M$ in a random environment, where the environment is a one-periodic sequence of i.i.d. random weights attached to domino positions (i.e., to the edges of the underlying portion of the square grid). We consider two cases: either the variance of the weights decreases at a critical scale $1/M$, or the distribution of the weights is fixed. In the former case, the unrescaled fluctuations of the domino height func…

Is 49ers' Alfred Collins the first domino in NFL's second-round pick standoff? https://www.nytimes.com/athletic/6498455/2025/07/16/nfl-draft-second-round-picks-unsigned-explained/

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Aktueller Titel: Ashbury Heights – Domino
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Ruby Haunt:
🎵 Twist
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https://rubyhaunt.bandcamp.com/album/domino-twist-blinking-in-the-wind-b-sides
https://open.spotify.com/track/26ntXFQN9e6Rs6v2u9Xh8E

Pending Texans signing could have domino effect on Cowboys RB competition https://cowboyswire.usatoday.com/story/sports/nfl/cowboys/2025/06/09/cowboys-dameon-pierce-potential-fit-nick-chubb-texans/84…

Undecidability of Translational Tiling of the Plane with Four Tiles
Chao Yang, Zhujun Zhang
https://arxiv.org/abs/2506.19295 https://…

Undecidability of Translational Tiling of the Plane with Four Tiles
The translational tiling problem, dated back to Wang's domino problem in the 1960s, is one of the most representative undecidable problems in the field of discrete geometry and combinatorics. Ollinger initiated the study of the undecidability of translational tiling with a fixed number of tiles in 2009, and proved that translational tiling of the plane with a set of $11$ polyominoes is undecidable. The number of polyominoes needed to obtain undecidability was reduced from $11$ to $7$ by Yang an…

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Karl Jenkins, Polyphony & Stephen Layton:
🎵 Cantate Domino
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Arvo Pärt, Estonian Philharmonic Chamber Choir, Christopher Bowers-Broadbent & Tõnu Kaljuste:
🎵 Cantate Domino [Psalm 96]
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Fats Domino:
🎵 Dreaming
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https://open.spotify.com/track/46aPTjdW3h15gN7814ycdj

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Mantra of the Cosmos:
🎵 Domino Bones (Gets Dangerous)
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Anon., Psallentes & Hendrik Vanden Abeele:
🎵 Benedicamus Domino cum cantico (Codex Las Huelgas)
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