Statements (83)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:crypt
|
| gptkbp:analyzes |
2 D space
|
| gptkbp:can_be_graphically_represented_by |
polar coordinates
|
| gptkbp:can_be_graphically_represented_in |
polar coordinates
|
| gptkbp:closed |
gptkb:true
|
| gptkbp:discovered_by |
gptkb:Archimedes
|
| gptkbp:equation |
r = a + bθ
|
| gptkbp:has_applications_in |
gptkb:art
physics engineering |
| gptkbp:has_function |
a
b |
| gptkbp:has_property |
infinite length
constant distance between turns unbounded area |
| https://www.w3.org/2000/01/rdf-schema#label |
Spiral of Archimedes
|
| gptkbp:is_a |
gptkb:geometric_shapes
gptkb:Mathematics gptkb:Model gptkb:spiral_galaxy parametric curve Archimedean spiral polar curve logarithmic spiral plane curve |
| gptkbp:is_characterized_by |
constant angular speed
constant distance between turns constant distance from the origin linear growth of radius uniform spacing of arms |
| gptkbp:is_continuous |
gptkb:true
|
| gptkbp:is_defined_by |
polar coordinates
two dimensions r = a + bθ polar equation θ ≥ 0 |
| gptkbp:is_described_as |
gptkb:Archimedes
On Spirals a spiral that expands outward |
| gptkbp:is_found_in |
nature
|
| gptkbp:is_non-intersecting |
gptkb:true
|
| gptkbp:is_related_to |
trigonometric functions
mathematical analysis conic sections Archimedes' principle circular motion Archimedean spiral logarithmic spiral Fermat's spiral golden spiral |
| gptkbp:is_represented_in |
a = bθ
|
| gptkbp:is_studied_in |
geometry
|
| gptkbp:is_symmetric_about |
origin
|
| gptkbp:is_used_in |
gptkb:art
gptkb:architecture gptkb:Graphics_Processing_Unit gptkb:graphic_design gptkb:Animation gptkb:urban_planning gptkb:navigation gptkb:landscape_architecture gptkb:optics gptkb:robotics gptkb:design gptkb:furniture data visualization aerospace engineering mechanical engineering signal processing springs acoustics spiral staircases artistic designs mechanical devices wave mechanics turbines textile patterns spiral patterns spiral galaxies |
| gptkbp:model |
growth patterns
|
| gptkbp:related_to |
golden spiral
|
| gptkbp:type |
Archimedean spiral
|
| gptkbp:used_in |
gptkb:Mathematics
|