Isoperimetric Pentagonal Tilings

Autor: Chung, Ping Ngai, Fernandez, Miguel A., Li, Yifei, Mara, Michael, Morgan, Frank, Plata, Isamar Rosa, Shah, Niralee, Vieira, Luis Sordo, Wikner, Elena
Rok vydání: 2011
Předmět:
Druh dokumentu: Working Paper
Popis: We identify least-perimeter unit-area tilings of the plane by convex pentagons, namely tilings by Cairo and Prismatic pentagons, find infinitely many, and prove that they minimize perimeter among tilings by convex polygons with at most five sides.
Comment: 16 pages, 17 figures
Databáze: arXiv