Thue–Morse sequence

an infinite binary sequence generated by repeated complementation and concatenation
Thing fractal Q1477120
Thue–Morse sequence
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Thue–Morse sequence

Summary

Thue–Morse sequence is a fractal[1]. It draws 1,427 Wikipedia views per month (fractal category, ranking #8 of 16).[2]

Key Facts

  • Thue–Morse sequence's instance of is recorded as fractal[3].
  • Thue–Morse sequence's instance of is recorded as integer sequence[4].
  • Thue–Morse sequence's instance of is recorded as infinite sequence[5].
  • Thue–Morse sequence's instance of is recorded as bounded sequence[6].
  • Thue–Morse sequence's instance of is recorded as automatic sequence[7].
  • Thue–Morse sequence's instance of is recorded as mathematical concept[8].
  • Axel Thue is named after Thue–Morse sequence[9].
  • Marston Morse is named after Thue–Morse sequence[10].
  • Thue–Morse sequence's Commons category is recorded as Thue-Morse sequence[11].
  • Thue–Morse sequence's different from is recorded as Abacaba pattern[12].
  • Thue–Morse sequence's different from is recorded as Kolakoski sequence[13].
  • Thue–Morse sequence's different from is recorded as regular paperfolding sequence[14].
  • Thue–Morse sequence's maintained by WikiProject is recorded as WikiProject Mathematics[15].

Body

Definition and Type

Recorded instance of include fractal[3], integer sequence[4], infinite sequence[5], bounded sequence[6], automatic sequence[7], and mathematical concept[8].

Origins

Things named after include Axel Thue[9], a mathematician[16], 1863–1922[17], of Norway[18], awarded the Fridtjof Nansen Award of Excellence, Mathematics-Natural sciences class[19], specialised in number theory[20] and Marston Morse[10], a mathematician[21], 1892–1977[22], of United States[23], awarded the Croix de guerre 1914–1918[24], specialised in topology[25].

Why It Matters

Thue–Morse sequence draws 1,427 Wikipedia views per month (fractal category, ranking #8 of 16).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[26] It is known by 28 alternative names across languages and contexts.[27]

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.

Inline context (facts about related entities)

  1. [16] . Wikidata. wikidata.org. → on this site
  2. [17] . Wikidata. wikidata.org. → on this site
  3. [18] . Wikidata. wikidata.org. → on this site
  4. [19] . Wikidata. wikidata.org. → on this site
  5. [20] . Wikidata. wikidata.org. → on this site
  6. [21] . Wikidata. wikidata.org. → on this site
  7. [22] . Wikidata. wikidata.org. → on this site
  8. [23] . Wikidata. wikidata.org. → on this site
  9. [24] . Wikidata. wikidata.org. → on this site
  10. [25] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [26] . Wikidata sitelinks. wikidata.org.
  3. [27] . 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). Thue–Morse sequence. Retrieved May 3, 2026, from https://4ort.xyz/entity/thue-morse-sequence
MLA “Thue–Morse sequence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/thue-morse-sequence.
BibTeX @misc{4ortxyz_thue-morse-sequence_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Thue–Morse sequence}}, year = {2026}, url = {https://4ort.xyz/entity/thue-morse-sequence}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Thue–Morse sequence — https://4ort.xyz/entity/thue-morse-sequence (retrieved 2026-05-03)

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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. 5d ago · VGMaintenanceBot bot · 2026-09-08 view diff on Wikidata ↗
    Instance of fractal, integer sequence, infinite sequence +3
    Maintained by wikiproject WikiProject Mathematics
    Different from Abacaba pattern, Kolakoski sequence, regular paperfolding sequence
    Instance of
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetqualifier-add:1| */ [[Property:P9675]]: 10798, Add qualifier to Rosetta Code page ID `Thue-Morse`"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.