Dupin cyclide

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf surface
gptkbp:discoveredIn 19th century
gptkbp:field gptkb:algebraic_geometry
gptkb:mathematics
differential geometry
gptkbp:generation inversion of a torus, cylinder, or double cone
gptkbp:hasCurvatureLines circles
straight lines
gptkbp:hasEquation quartic equation in Cartesian coordinates
gptkbp:hasProperty all lines of curvature are circles or straight lines
gptkbp:hasSpecialCase gptkb:butter
cone
cylinder
https://www.w3.org/2000/01/rdf-schema#label Dupin cyclide
gptkbp:isA quartic surface
canal surface
cyclide
gptkbp:namedAfter gptkb:Charles_Dupin
gptkbp:usedIn geometric modeling
computer-aided geometric design
gptkbp:bfsParent gptkb:Charles_Dupin
gptkbp:bfsLayer 7