Statements (58)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:crypt
|
| gptkbp:analyzes |
A shape that morphs between different geometric forms
|
| gptkbp:can_be_parameterized_by |
Polar coordinates
|
| gptkbp:has_applications_in |
Computer graphics
|
| gptkbp:has_property |
Smooth and continuous shape
|
| gptkbp:has_special_case |
Circle when n=2
Rectangle when n approaches infinity |
| https://www.w3.org/2000/01/rdf-schema#label |
The Superellipse
|
| gptkbp:illustrated_by |
Graphical plots
Mathematical graphs |
| gptkbp:introduced_in |
gptkb:Georgy_Voronoy
|
| gptkbp:is_analyzed_in |
Computational geometry
|
| gptkbp:is_applied_in |
gptkb:architecture
|
| gptkbp:is_characterized_by |
Symmetry properties
Shape parameter n Variable curvature |
| gptkbp:is_connected_to |
Topology
Geometric transformations |
| gptkbp:is_considered |
Artistic design principles
Shape optimization problems |
| gptkbp:is_defined_by |
Different values of n
Parameters a, b, and n Positive values of a and b Generalized equation of the form |x/a|^n + |y/b|^n = 1 |
| gptkbp:is_described_as |
A smooth transition between a rectangle and an ellipse
|
| gptkbp:is_examined_in |
Mathematical physics
Shape optimization Shape theory |
| gptkbp:is_explored_in |
Computer-aided design
Mathematical analysis Mathematical modeling Shape analysis |
| gptkbp:is_expressed_in |
gptkb:original_score
Parametric equations |
| gptkbp:is_graphically_represented_by |
Closed curve in Cartesian coordinates
|
| gptkbp:is_influenced_by |
Mathematical aesthetics
|
| gptkbp:is_notable_for |
Aesthetic appeal in design
|
| gptkbp:is_related_to |
gptkb:Ellipse
Bezier curves Conic sections Voronoi diagrams Quadratic curves Mathematical curves Superelliptic curve |
| gptkbp:is_similar_to |
Superellipse with different a and b values
|
| gptkbp:is_studied_in |
gptkb:Mathematics
Geometry Applied mathematics |
| gptkbp:is_symmetric_about |
Both axes
|
| gptkbp:is_used_in |
Product design
Urban planning Design and architecture Art and sculpture |
| gptkbp:is_utilized_in |
gptkb:designers
Graphic design Industrial design |
| gptkbp:bfsParent |
gptkb:Piet_Hein
|
| gptkbp:bfsLayer |
5
|