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Mandelbrot set

fractal-like set that plays a significant role in chaos research
Thing fractal Q257
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Summary

Mandelbrot set is a fractal[1]. It ranks in the top 6% of fractal entities by monthly Wikipedia readership (12,374 views/month).[2]

Key Facts

  • Instance of: subset[3], mathematical concept[4]
  • Named after: Benoit Mandelbrot[5]
  • Based on: Julia set[6]
  • Part of: set of complex numbers[7]
  • Commons category: Mandelbrot sets[8]
  • Topic's main category: Category:Mandelbrot sets[9]
  • Commons gallery: Mandelbrot set[10]
  • Stack Exchange tag: https://stackoverflow.com/tags/mandelbrot[11]
  • Has characteristic: Hausdorff dimension[12]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[13]
  • Maintained by WikiProject: WikiProject Mathematics[14]
  • Copyright status: public domain[15]
  • P14541: 30ftwv[16], hElcN[17]

Why It Matters

Mandelbrot set has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[18] It is known by 41 alternative names across languages and contexts.[19]

Related Entities

Benoit Mandelbrot

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] ↑ . Wikidata sitelinks. wikidata.org.
  3. [19] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Mandelbrot set. Retrieved October 15, 2026, from https://4ort.xyz/entity/mandelbrot-set
MLA “Mandelbrot set.” 4ort.xyz Knowledge Graph, 4ort.xyz, 15 Oct. 2026, https://4ort.xyz/entity/mandelbrot-set.
BibTeX @misc{4ortxyz_mandelbrot-set_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Mandelbrot set}}, year = {2026}, url = {https://4ort.xyz/entity/mandelbrot-set}, note = {Accessed: 2026-10-15}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Mandelbrot set — https://4ort.xyz/entity/mandelbrot-set (retrieved 2026-10-15)

Canonical URL: https://4ort.xyz/entity/mandelbrot-set · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 11d ago · عُثمان · 2026-10-04 view diff on Wikidata ↗
    Sitelink count → 58
    Semantic scholar topic id → 151852
    Image → Mandelbrot set with blended gradients sqrt step and slope.pn, Mandelbrot20210909 ABC02 65535x65535.png, Mandelbrot Set Image 107.png +7
    Wikipedia languages → ['abstract', 'ar', 'ast', 'ba', 'be', 'bg', 'bn', 'ca', 'ckb', 'commons', 'cs',
    + 1 other property edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:1||1 */ Semantic scholar topic id: 151852, Matched to [[:toollabs:mix-n-match/#/entry/255186098|Mandelbrot set (#255186098)]] in [[:toollabs:mix-n-match/#/catalog/7439|Semantic Sc"
  2. 5w ago · Aokoroko · 2026-09-09 view diff on Wikidata ↗
    Image → Mandelbrot set with blended gradients sqrt step and slope.pn, Mandelbrot20210909 ABC02 65535x65535.png, Mandelbrot Set Image 107.png +7
    "/* wbsetclaim-create:2||1 */ Image: Mandelbrot Set Image 111.png"
  3. 6w ago · Reinheitsgebot bot · 2026-09-03 view diff on Wikidata ↗
    Copyright status → public domain
    "/* wbcreateclaim-create:1| */ Copyright status: public domain, #quickstatements; WikiFlix C1: pre-1900 film, PD by age; invoked by wikiflix"
  4. 14w ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    P14541 → 30ftwv, hElcN
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
  5. 15w ago · Aokoroko · 2026-06-29 view diff on Wikidata ↗
    Image → Mandelbrot set with blended gradients sqrt step and slope.pn, Mandelbrot20210909 ABC02 65535x65535.png, Mandelbrot Set Image 107.png +7
    "/* wbmergeitems-from:0||Q140377413 */"
  6. 15w ago · Aokoroko · 2026-06-28 view diff on Wikidata ↗
    Image → Mandelbrot set with blended gradients sqrt step and slope.pn, Mandelbrot20210909 ABC02 65535x65535.png, Mandelbrot Set Image 107.png +7
    "/* wbsetclaim-create:2||1 */ Image: Mandelbrot Set Image 91.png"
  7. 15w ago · Aokoroko · 2026-06-28 view diff on Wikidata ↗
    Instance of → —
    Maintained by wikiproject → WikiProject Mathematics
    Image → Mandelbrot set with blended gradients sqrt step and slope.pn, Mandelbrot20210909 ABC02 65535x65535.png, Mandelbrot Set Image 107.png +7
    Based on → Julia set
    + 9 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ Image: Mandelbrot Set Image 107.png"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.