Klein bottle

GPTKB entity

Properties (50)
Predicate Object
gptkbp:instanceOf mathematical object
gptkbp:can_be various mathematical models
a 2D surface in 3D space
a 3D object in computer graphics
gptkbp:constructedIn gluing two Möbius strips together
gptkbp:explores mathematical philosophy
gptkbp:has_a genus of 2
non-orientable property
single continuous side
unique topological property
gptkbp:has_a_focus_on theoretical physics
mathematical modeling
gptkbp:hasPrograms physics
https://www.w3.org/2000/01/rdf-schema#label Klein bottle
gptkbp:introduced gptkb:Felix_Klein
gptkbp:is_a mathematical research
a non-orientable manifold
closed surface
non-orientable surface
a manifold
surface in mathematics
gptkbp:is_a_model_for certain mathematical concepts
gptkbp:is_a_place_for mathematicians and artists alike
gptkbp:is_a_subject_of differential geometry
topological classification
higher-dimensional spaces
mathematical forums
topological studies
the study of surfaces
mathematical topology.
gptkbp:is_available_in a bottle whose neck is connected to its side
gptkbp:is_characterized_by its unique topology
gptkbp:is_featured_in art and design
mathematical literature
mathematical textbooks
the projective plane
gptkbp:is_integrated_with three-dimensional Euclidean space
gptkbp:is_part_of knot theory
gptkbp:is_popular_among mathematical art
gptkbp:is_studied_in topological spaces
mathematical topology
gptkbp:is_used_in mathematical equations
topology
educational contexts
mathematical visualization
complex mathematical concepts
the concept of boundaries
gptkbp:related_to the concept of dimensions
the_Möbius_strip
gptkbp:surface cannot be made without self-intersection in 3D space