(always WIP, last updated on 06.10.2022)

• HOMEPAGE
• STUDYING
  • Euclid’s Elements
    • Book XII, Proposition 17
  • symmetries
    • transitivity of the pentagonal dodecahedron
  • art and math seminar at KSU
  • tessellations @ IASS2021
• 3D MODELS
  • of the concave regular
    • stellated dodecahedra
  • of the concave quasiregular:
    • great dodecadodecahedron
    • great icosidodecahedron
    • small ditrigonal icosidodecahedron
    • great ditrigonal icosidodecahedron
    • ditrigonal dodecadodecahedron
    • tetrahemihexahedron
    • octahemioctahedron
    • cubohemioctahedron
    • small icosihemidodecahedron
    • small dodecahemidodecahedron
    • great dodecahemicosahedron
    • small dodecahemicosahedron
    • great dodecahemidodecahedron
    • great icosihemidodecahedron.
    • of the concave semiregular
      • great icosicosidodecahedron
    • of dual pairs
      • great stellated triacontahedron | great icosidodecahedron
• ENCLOSING
  • inside the regular tetrahedron
    • tetrahedron inside the tetrahedron
    • cube inside the tetrahedron
    • octahedron inside the tetrahedron
    • icosahedron inside the tetrahedron
    • dodecahedron inside the tetrahedron
    • the Archimedeans inside the tetrahedron
  • inside the cube
    • Regular facets of the cube
    • Tetrahedra inside the cube
    • Octahedron inside the cube 01
    • Octahedra inside the cube 02
    • Dodecahedra inside the cube 01
    • Dodecahedron from the cube 02
    • Icosahedra inside the cube
  • inside the regular octahedron
    • regular facets of the octahedron
    • tetrahedra inside the octahedron
    • cube inside the octahedron 01
    • cubes inside the octahedron 02
    • dodecahedron inside the octahedron
    • icosahedron inside the octahedron
  • inside the regular dodecahedron
    • regular facets of the dodecahedron
    • tetrahedra inside the dodecahedron
    • cubes inside the dodecahedron
    • octahedra inside the dodecahedron
    • icosahedron inside the dodecahedron
    • great stellated dodecahedron inside the dodecahedron
  • inside the regular icosahedron
    • regular facets of the icosahedron
    • tetrahedra inside the icosahedron
    • cubes inside the icosahedron
    • octahedra inside the icosahedron
    • dodecahedron inside the icosahedron
    • small stellated dodecahedron inside the icosahedron
    • great dodecahedron inside the icosahedron
    • great icosahedron inside the icosahedron
• MODELLING
  • the convex regular:
    • tetrahedron,
    • hexahedron
    • octahedron
    • dodecahedron
    • icosahedron
  • the convex quasiregular:
    • cuboctahedron, CO
    • icosidodecahedron, ID
  • the convex semiregular:
    • truncated Tetrahedron, tT
    • truncated Cube, tC
    • truncated Octahedron, tO
• EXPANDING
  • the edges (e₁)
    • expansion of the edges of regular polygons
    • expansion of the edges of regular polygons of density 2
    • expansion of the edges of the convex regular polyhedra
  • the faces (e₂)
    • snubbing the cube onto the cuboctahedron
• INTERLOCKING
• TESSELLATING
  • in 2D
  • in 3D
    • Tessellating with truncated octahedra
• PLANE GEOMETRY
  • theorems
    • Napoleon’s theorem
  • plane polygons
    • triangles
    • quadrangles
    • regular pentagon
    • regular hexagon
    • regular octagon
    • regular decagon
  • plane curves
    • curves
    • conics
• PRINTER’S LOG
• THE AUTHOR

SIDEBAR:

• links
  • posts
  • contacts
  • sitemap
  • my sketchfab
  • geogebra books
  • site em português
• external links:
  • polyHédronisme
  • Polyhedra Viewer