Hannah Schwartz

collaborators

2 papers

math.GT2025

Rep-Tiles

Ryan Blair, Patricia Cahn, Alexandra Kjuchukova +1

An $n$ -dimensional rep-tile is a compact, connected submanifold of $R^{n}$ with non-empty interior which can be decomposed into pairwise isometric rescaled copies of itself…

math.GT2025

Tiling the 4-ball with knotted surfaces

James Ross, Hannah Schwartz, Andrew Ye

We show that for any closed, orientable surface $K$ smoothly embedded in $R^{4}$ , the unit $4$ -ball $B^{4} \subset R^{4}$ can be tiled using $n \geq 3$ tiles each congr…