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butterfly theorem

Relationships observed in Wikidata. Connections do not establish verification or source support.

Release: sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

Provider: Wikidata · graph projection only.

OBSERVED · GRAPH-PROJECTION · NOT ADMITTED · NOT VERIFIED · NOT SUPPORT

Edge identity is the provider property id (for example P31). It is not a Counterpedia predicate.

Development requests are not available on this deployment. The observed entity and its graph links remain readable.

Relationships of butterfly theorem

Show relationship types (drawing only; the text lists are unaffected)
image (Observed provider relationships)Relationship label not yet available (Observed provider relationships)named after (Observed provider relationships)Relationship label not yet available (Observed provider relationships)part of (Observed provider relationships)Commons category (Observed provider relationships)Relationship label not yet available (Observed provider relationships)Relationship label not yet available (Observed provider relationships)studied by (Observed provider relationships)instance of (Observed provider relationships)butterfly theorem — Wikidata entity (Q377047)butterflytheoremWIKIDATA ENTITYButterfly1.svg — Literal value (wikidata:literal:0:Butterfly1.svg)Butterfly1.svgLITERAL VALUE1803 — Literal value (wikidata:literal:1:1803)1803LITERAL VALUEbutterfly — Wikidata entity (Q11946202)butterflyWIKIDATA ENTITYWikiProject Mathematics — Wikidata entity (Q8487137)WikiProjectMathematicsWIKIDATA ENTITYlist of theorems — Wikidata entity (Q944443)list of theoremsWIKIDATA ENTITYButterfly theorem — Literal value (wikidata:literal:5:Butterfly theorem)ButterflytheoremLITERAL VALUEchord — Wikidata entity (Q188191)chordWIKIDATA ENTITYcircle — Wikidata entity (Q17278)circleWIKIDATA ENTITYEuclidean geometry — Wikidata entity (Q162886)EuclideangeometryWIKIDATA ENTITYtheorem — Wikidata entity (Q65943)theoremWIKIDATA ENTITY

Legend

  • Governed record relationships (solid)
  • Countergraph traversal (dashed)
  • Countergraph evidence (dotted)
  • Observed provider relationships (dash-dot)
  • Structurally derived (sparse dots)

Node shape identifies node kind only. Size, color, and position carry no meaning beyond hop distance from the root.

A line means a supported artifact carried an explicit structured relation. It does not mean the relation is true, admitted, verified, or authoritative.

Graph as text

Nodes (11)

  • butterfly theorem — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q377047
    stable_ref
    Q377047
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q377047
    provider
    wikidata
    entity_href
    /entries/wikidata/Q377047
  • Butterfly1.svg — Literal value
    Technical details
    node_id
    wikidata:literal:0:Butterfly1.svg
    stable_ref
    wikidata:literal:0:Butterfly1.svg
    node_kind
    wikidata_literal
    plane
    provider_observed
  • 1803 — Literal value
    Technical details
    node_id
    wikidata:literal:1:1803
    stable_ref
    wikidata:literal:1:1803
    node_kind
    wikidata_literal
    plane
    provider_observed
  • butterfly — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q11946202
    stable_ref
    Q11946202
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q11946202
    provider
    wikidata
    entity_href
    /entries/wikidata/Q11946202
  • WikiProject Mathematics — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q8487137
    stable_ref
    Q8487137
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q8487137
    provider
    wikidata
    entity_href
    /entries/wikidata/Q8487137
  • list of theorems — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q944443
    stable_ref
    Q944443
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q944443
    provider
    wikidata
    entity_href
    /entries/wikidata/Q944443
  • Butterfly theorem — Literal value
    Technical details
    node_id
    wikidata:literal:5:Butterfly theorem
    stable_ref
    wikidata:literal:5:Butterfly theorem
    node_kind
    wikidata_literal
    plane
    provider_observed
  • chord — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q188191
    stable_ref
    Q188191
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q188191
    provider
    wikidata
    entity_href
    /entries/wikidata/Q188191
  • circle — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q17278
    stable_ref
    Q17278
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q17278
    provider
    wikidata
    entity_href
    /entries/wikidata/Q17278
  • Euclidean geometry — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q162886
    stable_ref
    Q162886
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q162886
    provider
    wikidata
    entity_href
    /entries/wikidata/Q162886
  • theorem — Wikidata entity
    Technical details
    node_id
    wikidata:entity:Q65943
    stable_ref
    Q65943
    node_kind
    wikidata_entity
    plane
    provider_observed
    qid
    Q65943
    provider
    wikidata
    entity_href
    /entries/wikidata/Q65943

Edges (10)

  • butterfly theorem — image → Butterfly1.svg — Observed provider relationships
    Technical details
    machine_predicate
    P18
    predicate_ref
    wikidata:property:P18
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:0:P18
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • butterfly theorem — Relationship label not yet available → 1803 — Observed provider relationships
    Technical details
    machine_predicate
    P575
    predicate_ref
    wikidata:property:P575
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:1:P575
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • butterfly theorem — named after → butterfly — Observed provider relationships
    Technical details
    machine_predicate
    P138
    predicate_ref
    wikidata:property:P138
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:2:P138
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • butterfly theorem — Relationship label not yet available → WikiProject Mathematics — Observed provider relationships
    Technical details
    machine_predicate
    P6104
    predicate_ref
    wikidata:property:P6104
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:3:P6104
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • butterfly theorem — part of → list of theorems — Observed provider relationships
    Technical details
    machine_predicate
    P361
    predicate_ref
    wikidata:property:P361
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:4:P361
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • butterfly theorem — Commons category → Butterfly theorem — Observed provider relationships
    Technical details
    machine_predicate
    P373
    predicate_ref
    wikidata:property:P373
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:5:P373
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • butterfly theorem — Relationship label not yet available → chord — Observed provider relationships
    Technical details
    machine_predicate
    P2384
    predicate_ref
    wikidata:property:P2384
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:6:P2384
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • butterfly theorem — Relationship label not yet available → circle — Observed provider relationships
    Technical details
    machine_predicate
    P2384
    predicate_ref
    wikidata:property:P2384
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:7:P2384
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • butterfly theorem — studied by → Euclidean geometry — Observed provider relationships
    Technical details
    machine_predicate
    P2579
    predicate_ref
    wikidata:property:P2579
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:8:P2579
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7
  • butterfly theorem — instance of → theorem — Observed provider relationships
    Technical details
    machine_predicate
    P31
    predicate_ref
    wikidata:property:P31
    provider
    wikidata
    provider_direction
    outgoing
    plane
    provider_observed
    edge_id
    wikidata:relation:9:P31
    release_ref
    sha256:f33228901a35b0683356002a46df9ceb11f399d05f17abb5c7c78256cbf38ba7

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