In
algebraic geometry, a Sarti surface is a degree-12
nodal surface
In algebraic geometry, a nodal surface is a surface in (usually complex
Complex commonly refers to:
* Complexity, the behaviour of a system whose components interact in multiple ways so possible interactions are difficult to describe
** Complex ...
with 600 nodes, found by . The maximal possible number of nodes of a degree-12 surface is not known (as of 2015), though
Yoichi Miyaoka showed that it is at most 645.
Sarti has also found sextic, octic and dodectic nodal surfaces with high numbers of nodes and high degrees of symmetry.
File:Sarti sextic 48 A.png, Sextic with 48 node
File:Sarti sextic 48 (Stabchen).png, Sextic with 48 node
File:Sarti's Octic with 72.png, Octic with 72 nodes
File:Sarti's octic with 144 nodes.png, Octic with 144 nodes
File:Sarti dodectic 360.png, Dodectic surface with 360 nodes
File:3D model of Sarti surface.stl, 3D model of Sarti surface
See also
*
Nodal surface
In algebraic geometry, a nodal surface is a surface in (usually complex
Complex commonly refers to:
* Complexity, the behaviour of a system whose components interact in multiple ways so possible interactions are difficult to describe
** Complex ...
References
*
*
*
External links
*
*{{mathworld, id=SartiDodecic, title=Sarti Dodecic
Algebraic surfaces
Complex surfaces