Statements (56)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical surface
|
| gptkbp:associated_with |
infinity in topology
|
| gptkbp:can_be |
the nature of space
4-dimensional space 3-dimensional space a 2D projection |
| gptkbp:constructedIn |
gluing two ends of a cylinder together after a twist
|
| gptkbp:explores |
theoretical physics
|
| gptkbp:genus |
2
|
| gptkbp:has_a |
false
undefined_in_standard_Euclidean_space |
| gptkbp:has_a_focus_on |
philosophy of mathematics
mathematical philosophy mathematicians and artists alike |
| gptkbp:hasPrograms |
computer graphics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Klein Bottle
|
| gptkbp:introduced |
gptkb:Felix_Klein
|
| gptkbp:is_a |
geometry
topological space mathematical theory manifold a non-orientable surface. a surface in topology surface without edges a_non-Euclidean_geometry |
| gptkbp:is_a_model_for |
complex surfaces
non-orientable surfaces |
| gptkbp:is_a_representation_of |
a sculpture
|
| gptkbp:is_a_subject_of |
differential geometry
mathematical physics higher dimensions mathematical education mathematical topology topological studies |
| gptkbp:is_available_in |
a bottle that intersects itself
a surface with no distinct inside or outside |
| gptkbp:is_featured_in |
visual art
the concept of dimensions the torus |
| gptkbp:is_home_to |
the connected sum of two projective planes
|
| gptkbp:is_part_of |
knot theory
|
| gptkbp:is_popular_among |
the nature of reality
topology mathematical literature mathematical art |
| gptkbp:is_studied_in |
string theory
topological invariants |
| gptkbp:is_used_in |
mathematics
art and design 3D printing technology mathematical visualization a piece of paper and a twist the nature of dimensions |
| gptkbp:isDesignedFor |
true
|
| gptkbp:related_to |
Möbius_strip
|
| gptkbp:surface |
true
|