R. E. Schwartz

most citedThe Crisscross and the Cup: Two Short 3-Twist Paper Moebius Bands

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.GT2024

Patterns of Geodesics, Shearing, and Anosov Representations of the Modular Group

Richard Evan Schwartz

Let $X = S L_{3} (R) / S O (3)$ . Let $D F R$ be the space of discrete faithful representations of the modular group into ${\rm Isom\/}(X)$ which map the order $2$ generator to an isometr…

math.DS2024

The Flapping Birds in the Pentagram Zoo

Richard Evan Schwartz

We study the $(k + 1, k)$ diagonal map for $k = 2, 3, 4, ...$ . We call this map $Δ_{k}$ . The map $Δ_{1}$ is the pentagram map and $Δ_{k}$ is a generalization. $Δ_{k}$ does not preserve convexity,…

math.MG2023★ 1 cited

The Crisscross and the Cup: Two Short 3-Twist Paper Moebius Bands

Brienne Elisabeth Brown, Richard Evan Schwartz

We introduce the crisscross and the cup, both of which are immersed $3$ -twist polygonal paper Moebius band of aspect ratio $3$ . We explain why these two objects are limits of smoot…