|
gptkbp:instance_of
|
gptkb:theorem
|
|
gptkbp:analyzes
|
gptkb:geometric_shapes
|
|
gptkbp:applies_to
|
convex polyhedra
|
|
gptkbp:can_be_extended_by
|
non-convex polyhedra
|
|
gptkbp:concept
|
discrete mathematics
|
|
gptkbp:criteria
|
planarity
|
|
gptkbp:developed_by
|
graph theory principles
|
|
gptkbp:explores
|
mathematical conferences
|
|
gptkbp:has_applications_in
|
3 D modeling
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Euler's formula for polyhedra
|
|
gptkbp:ingredients
|
gptkb:Leonhard_Euler
|
|
gptkbp:is_a_basis_for
|
further research in mathematics
|
|
gptkbp:is_a_foundation_for
|
polyhedral combinatorics
|
|
gptkbp:is_a_foundational_theorem_for
|
polyhedral theory
|
|
gptkbp:is_a_principle_used_in
|
gptkb:scientific_research
|
|
gptkbp:is_a_subject_of
|
mathematical proofs
mathematical history
|
|
gptkbp:is_a_theorem_in
|
geometry
|
|
gptkbp:is_a_theorem_that_connects
|
geometry and topology
|
|
gptkbp:is_a_theorem_that_has
|
gptkb:historical_significance
|
|
gptkbp:is_a_theorem_that_has_applications_in
|
gptkb:robotics
|
|
gptkbp:is_a_theorem_that_has_implications_for
|
gptkb:computer_science
|
|
gptkbp:is_a_theorem_that_is_crucial_for
|
gptkb:infrastructure
|
|
gptkbp:is_a_theorem_that_is_essential_for
|
mathematical proofs
|
|
gptkbp:is_a_theorem_that_is_foundational_for
|
graph theory studies
|
|
gptkbp:is_a_theorem_that_is_often_referenced_in
|
mathematical textbooks
|
|
gptkbp:is_a_tool_for
|
network analysis
|
|
gptkbp:is_analyzed_in
|
polyhedral structures
|
|
gptkbp:is_applicable_to
|
gptkb:architecture
|
|
gptkbp:is_connected_to
|
topological invariants
|
|
gptkbp:is_discussed_in
|
academic literature
|
|
gptkbp:is_essential_for
|
computational geometry
|
|
gptkbp:is_expressed_in
|
V -E + F = 2
|
|
gptkbp:is_fundamental_to
|
graph theory
|
|
gptkbp:is_part_of
|
mathematical education
|
|
gptkbp:is_related_to
|
gptkb:Platonic_solids
dual polyhedra
Euler's polyhedron formula
|
|
gptkbp:is_significant_for
|
mathematical modeling
|
|
gptkbp:is_used_in
|
gptkb:topology
gptkb:Graphics_Processing_Unit
|
|
gptkbp:is_used_to_prove
|
other mathematical theorems
|
|
gptkbp:key_concept
|
gptkb:Mathematics
|
|
gptkbp:legal_principle
|
structural engineering
widely studied
|
|
gptkbp:related_to
|
vertices, edges, and faces
Vertices, edges, and faces of polyhedra.
|
|
gptkbp:was_a_result_of
|
combinatorial topology
|
|
gptkbp:was_involved_in
|
Euler characteristic
|
|
gptkbp:bfsParent
|
gptkb:Leonhard_Euler
|
|
gptkbp:bfsLayer
|
4
|