translation surface

C66242
concept

A translation surface is a two-dimensional manifold obtained by gluing polygons in the plane along parallel, equal-length edges via translations, giving it a flat geometry with conical singularities.

All labels observed (1)

Label Occurrences
translation surface 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: translation surface
Generated description
A translation surface is a two-dimensional manifold obtained by gluing polygons in the plane along parallel, equal-length edges via translations, giving it a flat geometry with conical singularities.

Instances (1)

Instance Via concept surface
Veech surface