granny knot
type: Thing
alternate name: 3₁#3₁
description: connected sum of two trefoil knots with same chirality
additional property: PropertyValue
  property ID: P18
  value: Blue Granny Knot.png
additional property: PropertyValue
  property ID: P31
  value: composite knot
additional property: PropertyValue
  property ID: P646
  value: /m/0bh9cly
additional property: PropertyValue
  property ID: P1417
  value: topic/granny-knot
additional property: PropertyValue
  property ID: P1889
  value: square knot
additional property: PropertyValue
  property ID: P1889
  value: granny knot
additional property: PropertyValue
  property ID: P2812
  value: GrannyKnot
additional property: PropertyValue
  property ID: P5350
  value: (t - 1 + t^{-1})^2
additional property: PropertyValue
  property ID: P5351
  value: (z^2+1)^2
additional property: PropertyValue
  property ID: P5352
  value: q^{-2} + 2q^{-4} - 2q^{-5} + q^{-6} - 2q^{-7} + q^{-8}
additional property: PropertyValue
  property ID: P6104
  value: WikiProject Mathematics
additional property: PropertyValue
  property ID: P6366
  value: 2776043527
additional property: PropertyValue
  property ID: P6432
  value: 3_1\#3_1
additional property: PropertyValue
  property ID: P11035
  value: +6
confidence:
  popularity graph score:
    score: 0.004
    score pct: 0
    tier: long_tail
    components:
      sitelinks: 5
      sitelinks norm: 0.012
      unique citations: 0
      unique citations norm: 0.0
      monthly pageviews: 68
      monthly pageviews norm: 0.0
  sitelinks: 5
  unique citations: 0
  monthly pageviews: 68
  yearly pageviews: 120
  pageview trend:
    m: 2026-08
    v: 68
  pageview trend:
    m: 2026-07
    v: 8
  pageview trend:
    m: 2026-06
    v: 14
  pageview trend:
    m: 2026-05
    v: 2
  pageview trend:
    m: 2026-05
    v: 5
  pageview trend:
    m: 2026-05
    v: 5
  pageview trend:
    m: 2026-04
    v: 1
  pageview trend:
    m: 2026-04
    v: 16
  pageview trend:
    m: 2026-04
    v: 1
  popularity:
    sitelinks: 5
    max: 423
    pct: 1.2
  tier: long_tail
claims:
  P18:
    value: Blue Granny Knot.png
    source count: 0
    confidence: 0.0
  P31:
    value: Q77345920
    source count: 0
    confidence: 0.0
    value label: composite knot
  P646:
    value: /m/0bh9cly
    source count: 0
    confidence: 0.0
  P1417:
    value: topic/granny-knot
    source count: 0
    confidence: 0.0
  P1889:
    value: Q7582069
    source count: 0
    confidence: 0.0
    value label: square knot
  P1889:
    value: Q339791
    source count: 0
    confidence: 0.0
    value label: granny knot
  P2812:
    value: GrannyKnot
    source count: 0
    confidence: 0.0
  P5350:
    value: (t - 1 + t^{-1})^2
    source count: 0
    confidence: 0.0
  P5351:
    value: (z^2+1)^2
    source count: 0
    confidence: 0.0
  P5352:
    value: q^{-2} + 2q^{-4} - 2q^{-5} + q^{-6} - 2q^{-7} + q^{-8}
    source count: 0
    confidence: 0.0
  P6104:
    value: Q8487137
    source count: 0
    confidence: 0.0
    value label: WikiProject Mathematics
  P6366:
    value: 2776043527
    source count: 0
    confidence: 0.0
  P6432:
    value: 3_1\#3_1
    source count: 0
    confidence: 0.0
  P11035:
    value:
      amount: +6
    source count: 0
    confidence: 0.0
meta:
  wikidata id: Q5596009
  domain: composite_knot
  level: standard
  html url: https://4ort.xyz/entity/granny-knot-q5596009
  markdown url: https://4ort.xyz/entity/granny-knot-q5596009.md
  facts url summary: https://4ort.xyz/entity/granny-knot-q5596009/facts.json
  facts url standard: https://4ort.xyz/entity/granny-knot-q5596009/facts.json
  facts url full: https://4ort.xyz/entity/granny-knot-q5596009/facts.json
  data source: Wikidata (CC0 / public domain)
  license: https://creativecommons.org/publicdomain/zero/1.0/
  api version: v1
  served at: 2026-08-25T22:35:37.442746Z
  entity updated at: 2026-05-03T23:45:09.469384+00:00Z
  entity created at: 2026-04-11T00:05:54.526687+00:00Z