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(last updated on 22.03.2025)

• HOMEPAGE

• STUDYING
  • Euclid’s Elements
    • Book XII, Proposition 17
  • symmetries
    • transitivity of the pentagonal dodecahedron
  • art and math seminar at KSU
  • tessellations @ IASS2021

• HISTORY OF SCIENCE
  • ARCHIMEDEAN SOLIDS IN THE 15^TH AND 16^TH CENTURIES
  • DANIELE BARBARO
    • Rectified Truncated Octahedron
    • Rectified truncated Icosahedron
    • Truncated Pentakis Dodecahedron
    • Twice-Truncated Icosahedron
    • Twice-Truncated Octahedron
    • Truncated Rectified Truncated Octahedron
    • Elongated Truncated Octahedron
    • Chamfered Cube
    • (no name yet)
    • Truncated Rectified Truncated Icosahedron

• 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

• 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

• 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

• EXPANDING
  • 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
  • expanding the faces (e₂)
    • snubbing the cube onto the cuboctahedron

• CHAMFERING
  • chamfering the convex regular polyhedra
    • chamfering the cube

• TESSELLATING
  • in 2D
  • in 3D
    • Tessellating with truncated octahedra

• INTERLOCKING

• 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

• MY SKETCHFAB

• SITE MAP

• THE AUTHOR

• POSTS

• CONTACT