4 papers
Oriented and Non-oriented Cubical Surfaces in The Penteract
Manuel Estevez, Erika Roldan, Henry Segerman
Which surfaces can be realized with two-dimensional faces of the five-dimensional cube (the penteract)? How can we visualize them? In recent work, Aveni, Govc, and Roldan, show tha…
Eden model for Pentagons
Claudia Silva, Erika Roldan, Rosemberg Toala-Enriquez
We study topological and geometric properties of a cell growth process in the Euclidean plane, where the cells are regular pentagons. To explore the aesthetic aspects of this model…
Surfaces in The Tesseract
Manuel Estévez, Erika Roldan, Henry Segerman
How can we visualize all the surfaces that can be made from the faces of the tesseract? In recent work, Aveni, Govc, and Roldán showed that the torus and the sphere are the only cl…
Higher-dimensional cubical sliding puzzles
Moritz Beyer, Stefano Mereta, Érika Roldán +1
We introduce higher-dimensional cubical sliding puzzles that are inspired by the classical 15 Puzzle from the 1880s. In our puzzles, on a -dimensional cube, a labeled token can…