the convex regular

  • the tetrahedron
  • the cube
  • the octahedron
  • the dodecahedron
  • the icosahedron

the convex quasiregular

  • the cuboctahedron
  • the icosidodecahedron

the convex semiregular:

  • truncated tetrahedron
  • truncated cube
  • truncated octahedron


expanding the faces of polyhedra

snubbing the cube itnto the cuboctahedron

other examples of the expansion of the edges or faces of achiral polyhedra are described here.





tesselatting in 3D

tessellating space with truncated octahedra

latest posts


For the first video on the subject of symmetry, a grasshopper definition meant to explain rotational symmetry with the pentagonal dodecahedron. symmetry

my ph.d. thesis on polyhedra

My doctoral thesis “Aplicações Didácticas sobre Poliedros para o Ensino da Geometria” (Didactic Applications on Polyhedra for the Teaching of Geometry) is available online in this link. Some of its didactic applications will be included in this website (the ones available are found in this webpage , this one and also this). I will publish […]

convex semiregular polyhedra

The webpage concerning the convex semiregular polyhedra includes tutorials meant to show how to model: the truncated tetrahedron from the regular tetrahedron; the truncated cube from the cube; the truncated octahedron from the regular octahedron; the truncated octahedron from the cube. (more coming soon)

about the author

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