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Dissecting Equilateral Triangles into Non-Congruent Equilateral Triangles: A Novel Proof of Tutte's Result

, 2014
In this paper, we show that an equilateral triangle cannot be dissected into finitely many smaller equilateral triangles, no two of which share two vertices. We do this without the use of Electrical Networks.
openaire +2 more sources

Reducing data processing effort in camera trap density estimation: Extending the REST model by explicitly modelling animal detection processes

Methods in Ecology and Evolution, Volume 17, Issue 3, Page 850-862, March 2026.
Abstract Accurate and reliable estimation of wildlife population density is fundamental to effective conservation and management. While camera traps show potential for monitoring ground‐dwelling mammal densities, labour‐intensive data processing remains a significant constraint. Ideally, conservation efforts would benefit from the continuous monitoring
Yoshihiro Nakashima, Gota Yajima, Ryo Matsuoka +2 more
wiley +1 more source

Coloring and density theorems for configurations of a given volume

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract This is a treatise on finite point configurations spanning a fixed volume to be found in a single color‐class of an arbitrary finite (measurable) coloring of the Euclidean space Rn$\mathbb {R}^n$, or in a single large measurable subset A⊆Rn$A\subseteq \mathbb {R}^n$.
Vjekoslav Kovač
wiley +1 more source

Microscopic study of the intermediate mixed state in intertype superconductors. [PDF]