Sections of K3

Symmetric sections of K3

Click on ".gap" to see the complex in GAP-notation

level
topological type
1
\mathbb{S}^3 .gap
2
\mathbb{S}^3 .gap
3
\mathbb{S}^3 .gap
4
\mathbb{S}^3 .gap
\mathbb{R}\mathbf{P}^3 .gap
5
L(4,1) .gap
L(3,1) .gap
\mathbb{R}\mathbf{P}^3 .gap
6
\mathscr{O}^3 .gap
\mathscr{C}^3 .gap
7
\mathscr{H}\mathbb{S}^3 .gap
8
\mathbb{T}^3 .gap


Other sections of K3

Notes

  • The sections are stored in GAP-notation in the format

    complex:= [ [ [ x, y ], [ x, z ], ... ], ... ]

    [ x, y ] denotes a vertex of the section - the middle point of the edge <x,y> of the original complex.

  • The reference objects are taken from "The Manifold Page" (by F.H. Lutz)

  • The source code of the slicing algorithm is available upon request from

    j.spreer@uq.edu.au