the faces of polyhedra

The following videos, authored and narrated by vera viana (11.2019), show examples of the expansion of achiral polyhedra, a concept devised by Alicia Boole Stott in 1910 [1]. More on the subject may be found in [2] and [3].


Snubbing the cube onto the cuboctahedron

snubbing the cube onto the cuboctahedron (by vera viana)

  • [1] Stott, A. (1910) Geometrical deduction of semiregular from regular polytopes and space fillings. Verhan-delingen der Koninklijke Akademie van Wetenschappen te Amsterdam, 11(1) 893-2894.
  • [2] Viana, V. et al. (2018) Interactive Expansion of Achiral Polyhedra. In Luigi Cocchiarella (Ed.). ICGG 2018 – Proceedings of the 18th International Conference on Geometry and Graphics. ICGG 2018. Advances in Intelligent Systems and Computing, 809. Springer. 1116-1128.
  • [3] Viana, V (2020). Aplicações didácticas sobre poliedros para o ensino da geometria / Didactic Applications on Polyhedra for the teaching of Geometry (http://hdl.handle.net/10348/10337) [Tese de Doutoramento, Universidade de Trás-os-Montes e Alto Douro]. Repositório Científico da UTAD.