Algebraic Surfaces with Many Nodes

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

An algebraic surface is defined as the set of points that satisfy a polynomial equation . An ordinary double point (or node) is a point where the surface intersects itself and satisfies . The maximum possible number of nodes is a function of the degree of .

Contributed by: Enrique Zeleny (September 2013)
Open content licensed under CC BY-NC-SA




[1] S. Endrass. "Surf: Visualizing Real Algebraic Geometry." (Sep 17, 2013)

[2] O. Labs. "" (Sep 17, 2013)

[3] Mathematisches Forschungsinstitut Oberwolfach. "IMAGINARY—Open Mathematics." (Sep 17, 2013)

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.