polyhedra and art  -  classical

Leonardo da Vinci's polyhedra

This truncated icosahedron represented with "solid edges" is one of the illustrations of The Divine Proportion  (Lucas Pacioli).


Léonard de Vinci
Luca Pacioli's polyhedron

The polyhedron on the top left of this portrait of Luca Pacioli is a glass small rhombicuboctahedron half-filled with water.


Luca Pacioli
marble and wooden polyhedra
 
 

mosaic

marble mosaic in Saint Mark's basilica in Venice
(small stellated dodecahedron)

intarsia

polyhedra engraved on wood
in the church of Santa Maria of Organo in Verona

Dürer's polyhedron

With its 8 faces (2 equilateral triangles and 6 symmetric pentagons), this polyhedron is a truncated rhombohedron: first stretch a cube along one diagonal, then cut the two peaks so that the remaining solid is inscribed in a sphere.
 
 
 


pentagonal face
a pentagonal face

engraving Melencholia I

Melencholia I
a curious stone polyhedron
 
 

There are two ways to build this polyhedron:

  • excavate twelve triangular prisms on a cube truncated at the third by the vertices (in red)
  • augment a cube truncated by the edges and the vertices (in green) with eight flat triangular antiprisms
polyèdre en pierre

sculpture in a cemetery of Pays Basque (France)
(photo by André Brzezinski)

polyhedra in M. C. Escher's work
Escher 1

Reptiles

Escher 3

Gravity

Escher 2

Stars







compound of two tetrahedra


compound of two cubes


small stellated dodecahedron


stellated cuboctahedron


compound of three octahedra


compound of three cubes


stellated rhombidodecahedron

Waterfall

Waterfall
along the streets
 
stern
fence star
along a 3-fold axis
this stellated dodecahedron
looks like a star of David
Escher Museum - (The Hague - Netherlands) fence with stellated dodecahedra  (Grande Synagogue - Paris)


more polyhedral art: modern 1 - modern 2

 summary   November 2004
updated 19-02-2008