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gptkbp:instance_of
|
gptkb:Control
|
|
gptkbp:analyzes
|
a bottle whose neck is connected to its side
a surface with no distinct inside or outside
|
|
gptkbp:can_create
|
gptkb:print
|
|
gptkbp:constructed_in
|
gluing two ends of a cylinder together after a twist
two Möbius strips
|
|
gptkbp:example
|
a non-orientable manifold
a surface with a single side
|
|
gptkbp:genus
|
gptkb:1
|
|
gptkbp:has_a_unique_property_of
|
being self-intersecting in 3 D space
|
|
gptkbp:has_no_boundary
|
nan
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Klein Bottle
|
|
gptkbp:is_a
|
closed surface
non-orientable surface
|
|
gptkbp:is_a_common_example_in
|
topological classification
|
|
gptkbp:is_a_subject_of
|
gptkb:Mathematician
gptkb:scientific_research
gptkb:philosophy
mathematical education
mathematical forums
|
|
gptkbp:is_associated_with
|
gptkb:Dimension
|
|
gptkbp:is_described_as
|
the nature of dimensions
|
|
gptkbp:is_explored_in
|
artistic representations
|
|
gptkbp:is_often_depicted_as
|
mathematical art
|
|
gptkbp:is_often_featured_in
|
mathematical literature
|
|
gptkbp:is_often_seen_in
|
the projective plane
|
|
gptkbp:is_often_used_in
|
educational demonstrations
|
|
gptkbp:is_part_of
|
differential geometry
modern topology
the study of manifolds
|
|
gptkbp:is_popular_in
|
gptkb:Data_Visualization
art and design
|
|
gptkbp:is_related_to
|
gptkb:Möbius_strip
the concept of infinity
|
|
gptkbp:is_represented_in
|
three-dimensional space
various mathematical software
a continuous function
4-dimensional space
a 2 D projection
|
|
gptkbp:is_studied_in
|
gptkb:Mathematics
mathematical physics
knot theory
topological dynamics
|
|
gptkbp:is_used_in
|
gptkb:topology
gptkb:Physics
|
|
gptkbp:is_used_to_illustrate_concepts_in
|
geometry
|
|
gptkbp:key
|
the study of surfaces.
|
|
gptkbp:key_concept
|
abstract algebra
|
|
gptkbp:key_feature
|
topological studies
|
|
gptkbp:model
|
gptkb:Graphics_Processing_Unit
complex systems
certain physical phenomena
|
|
gptkbp:named_after
|
gptkb:Felix_Klein
|
|
gptkbp:notable_examples
|
a surface with unique properties
|
|
gptkbp:type_of
|
gptkb:topology
gptkb:exhaust_system
|
|
gptkbp:bfsParent
|
gptkb:Museum_of_Mathematics
|
|
gptkbp:bfsLayer
|
8
|