Euler's formula for polyhedra
GPTKB entity
Statements (54)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical theorem
|
| gptkbp:appliesTo |
convex polyhedra
|
| gptkbp:criteria |
planarity of graphs
|
| gptkbp:expansion |
higher dimensions
|
| gptkbp:explores |
research mathematics
|
| gptkbp:has_a_focus_on |
mathematical research
|
| gptkbp:hasPrograms |
computer graphics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler's formula for polyhedra
|
| gptkbp:impact |
non-convex polyhedra
|
| gptkbp:is_a_key_player_in |
mathematical analysis
|
| gptkbp:is_a_platform_for |
3D modeling
polyhedral combinatorics graph embeddings topological studies graph theory applications |
| gptkbp:is_a_subject_of |
geometry
graph theory mathematical logic mathematical theory discrete mathematics academic study mathematical topology combinatorial topology mathematical inquiry |
| gptkbp:is_a_tool_for |
mathematical proofs
|
| gptkbp:is_available_in |
geometric models
|
| gptkbp:is_essential_for |
mathematical proofs
computational geometry mathematical history |
| gptkbp:is_involved_in |
Euler characteristic
|
| gptkbp:is_part_of |
mathematical education
|
| gptkbp:is_studied_in |
geometric structures
|
| gptkbp:is_used_in |
architectural design
network theory topology other mathematical theorems mathematical visualization |
| gptkbp:isConnectedTo |
topological invariants
dual polyhedra |
| gptkbp:legal_principle |
mathematical modeling
spatial reasoning |
| gptkbp:previousName |
gptkb:Leonhard_Euler
|
| gptkbp:publishedBy |
1758
|
| gptkbp:related_to |
Platonic solids
genus of a surface Euler's_polyhedron_formula Euler's_characteristic_formula |
| gptkbp:relatedTo |
edges (E)
faces (F) vertices (V) |
| gptkbp:state |
V - E + F = 2
|
| gptkbp:suitableFor |
polyhedral surfaces
|
| gptkbp:taught |
geometry courses
|
| gptkbp:was_a_result_of |
topological properties
|