A cubical unit cell, basically a central chamber with necks out to the middle of
each edge of the cube. Genus 9.
Evolver file: neovius.fe
Schoen's C15(P) Surface
The unit cell may be viewed as a chamber in a cube with tubes running to the
centers of the faces and bracketing the centers of the edges.
The unit cell has 96-fold symmetry (in the sense of having 96 copies of the
fundamental region).
This image was actually constructed by evolving the adjoint surface
(which is in the datafile), adjusting a
parameter to kill one period, and then doing an adjoint transformation.
The name C15(P) refers to the surface being complementary to the P surface
and having genus 15.
Evolver file: c15padj.fe
Schoen's C21(P) Surface
The unit cell may be viewed as a chamber in a cube with tubes running to the
centers of the edges and four tubes to each face.
The unit cell has 96-fold symmetry (in the sense of having 96 copies of the
fundamental region).
This image was actually constructed
by evolving the adjoint surface
(which is in the datafile), adjusting a
parameter to kill one period, and then doing an adjoint transformation.
The name C21(P) refers to the surface being complementary to the P surface
and having genus 21.
Evolver file: c21padj.fe
Schoen's C27(P) Surface
Higher genus version in the sequence Neovius, C15P, C21P.
The unit cell has 96-fold symmetry (in the sense of having 96 copies of the
fundamental region).
This image was actually constructed
by evolving the adjoint surface
(which is in the datafile), adjusting a
parameter to kill two periods, and then doing an adjoint transformation.
The name C27(P) refers to the surface being complementary to the P surface
and having genus 27.
Evolver file: C27Padj.fe
Schoen's C33(P) Surface
Higher genus version in the sequence Neovius, C15P, C21P, C27P.
The unit cell has 96-fold symmetry (in the sense of having 96 copies of the
fundamental region).
This image was actually constructed
by evolving the adjoint surface
(which is in the datafile), adjusting a
parameter to kill two periods, and then doing an adjoint transformation.
The name C33(P) refers to the surface being complementary to the P surface
and having genus 33.
Evolver file: C33Padj.fe,
Schoen's C39(P) Surface
Higher genus version in the sequence Neovius, C15P, C21P, C27P, C33P.
The unit cell has 96-fold symmetry (in the sense of having 96 copies of the
fundamental region).
This image was actually constructed
by evolving the adjoint surface
(which is in the datafile), adjusting a
parameter to kill three periods, and then doing an adjoint transformation.
The name C39(P) refers to the surface being complementary to the P surface
and having genus 39.
Evolver file: C39Padj.fe
Schoen's C45(P) Surface
Higher genus version in the sequence Neovius, C15P, C21P, C27P, C33P, C39P.
The unit cell has 96-fold symmetry (in the sense of having 96 copies of the
fundamental region).
This image was actually constructed
by evolving the adjoint surface
(which is in the datafile), adjusting a
parameter to kill three periods, and then doing an adjoint transformation.
The name C45(P) refers to the surface being complementary to the P surface
and having genus 45.
Evolver file: C45Padj.fe
