A Complete List of All Convex Polyhedra Made by Gluing Regular Pentagons

Author:

Arseneva Elena1,Langerman Stefan2,Zolotov Boris1

Affiliation:

1. Saint Petersburg State University (SPbU)

2. Université libre de Bruxelles (ULB)

Publisher

Information Processing Society of Japan

Subject

General Computer Science

Reference10 articles.

1. [1] Alexandrov, A.: Convex Polyhedra, Springer-Verlag, Berlin (2005).

2. [2] Arseneva, E. and Langerman, S.: Which Convex Polyhedra Can Be Made by Gluing Regular Hexagons?, Graphs and Combinatorics, pp.1-7 (online), DOI: 10.1007/s00373-019-02105-3 (2019).

3. [3] Bobenko, A. and Izmestiev, I.: Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes, Annales de l'Institut Fourier, Vol.58, No.2, pp.447-505 (online), DOI: 10.5802/aif.2358(2008).

4. [4] Demaine, E., Demaine, M., Lubiw, A. and O'Rourke, J.: Enumerating foldings and unfoldings between polygons and polytopes, Graphs and Combinatorics, Vol.18, No.1, pp.93-104 (2002).

5. [5] Demaine, E., Demaine, M., Lubiw, A., O'Rourke, J. and Pashchenko, I.: Metamorphosis of the cube, Proc. SOCG, pp.409-410, ACM (1999).

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