latest posts

which contents are already done?

(updated in 20.08.2020) Including all the subjects conceived for this site is an ongoing project that will take quite some time to accomplish, so I will detail below those which I consider to be complete (although any of them may be prone to changing): modelling: the convex regular polyhedra (4 tutorials) expanding | the edges […]

a todos os utilizadores do meu site em português

há várias páginas e conteúdos do meu site em português que não estão, actualmente, acessíveis. O url veraviana.net direcciona-vos para o site que estou a construir mas, gradualmente, as páginas escritas em português voltarão a estar disponíveis. Consultem por favor esta página para saberem quais. os links para os livros geogebra com as contruções passo-a-passo […]


this website is an ongoing project that will be updated, in the following months (and years), with contents and tutorials mostly concerning polyhedral geometry, a subject of a great personal interest to me, so much that I’ve been devoting myself to its study since 2007. if you have any comments or suggestions to send me, […]

modelling polyhedra

modelling the dodecahedron in rhinoceros

other regular convex polyhedra are found here

expanding polyhedra

snubbing the cube itnto the cuboctahedron

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

tangents to an ellipse

more step-by-step constructions on conics and tangents are available here.

about the author

check my about me page

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concave quasiregular polyhedra (l-r):

  1. great dodecadodecahedron
  2. great icosidodecahedron
  3. small ditrigonal icosidodecahedron
  4. great ditrigonal icosidodecahedron
  5. ditrigonal dodecahedron

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