lemniscate
C21317
concept
A lemniscate is a plane curve shaped like a figure-eight or infinity symbol, typically defined by a specific algebraic equation that produces two symmetric loops meeting at a point.
All labels observed (2)
| Label | Occurrences |
|---|---|
| curve in the plane | 1 |
| lemniscate canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: lemniscate
Generated description
A lemniscate is a plane curve shaped like a figure-eight or infinity symbol, typically defined by a specific algebraic equation that produces two symmetric loops meeting at a point.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Bernoulli lemniscate | — |
| Peano curve | curve in the plane |