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The Smallest Projective Space with 15 points, 35 lines and 15 planes

Cayley cubic

24-cell  in stereographic projection

Dual 24-cell  in stereographic projection

27 lines on the Clebsch cubic surface

 

27 lines on the Clebsch cubic surface on edges of the 600-cell and inscribed octahedra

27 lines on the Clebsch cubic surface

 

27 lines on the Clebsch cubic surface on edges of the 600-cell and inscribed octahedra

The 115 points of intersection lie on the vertices and midpoints of edges of the 600-cell and its dual 120-cell

The 27 lines

elliptic Clebsch surface

 elliptic Cayley surface     

One of the 59 stellations of the icosahedron has the following projection on one of the faces

600-cell in stereographic projection

120-cell in stereographic projection

Hoffman-Singleton graph

 

Hessian of Clebsch cubic containing 30 vertices of 600-cell

Desmic surface covering 8 cells of 24-cell

 

It's mainly geometry that you will find if you wander through these pages and a little bit of physics.

The metaphysical part is where phantasy takes us if we are not deterred by unscientific reasoning. 

 

Last revision on 23-12-12.

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