Thue–Morse sequence

an infinite binary sequence generated by repeated complementation and concatenation
Thing fractal Q1477120
Thue–Morse sequence
Opensofias · Public Domain · Wikimedia

Facts

4 properties
🏷️ Also known as
en Morse-Thue sequence en Thue–Morse sequence en Prohuet-Thue-Morse sequence da Thue-Morse-sekvensen de Thue-Morse-Folge de Prohuet-Thue-Morse-Folge de Morse-Thue-Folge de Morsefolge es sucesion de Prohuet-Thue-Morse es sucesión de Prohuet-Thue-Morse es sucesion de Thue-Morse es sucesión de Thue-Morse fr suite de Prouhet-Thue-Morse he בעיית תאו-מורס it successione di Thue-Morse ja トゥエ–モース数列 ko 투에-모스 수열 ms Turutan Thue–Morse nl Rij van Prouhet-Thue-Morse pl słowo Thuego-Morse’a
🔖 Identifiers · 5
Freebase ID
/m/02gx_s
MathWorld ID
Thue-MorseSequence
Microsoft Academic ID (discontinued)
2775882457
OEIS ID
A010060
Rosetta Code page ID
Thue-Morse

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🔗 Connections
Instance of 2
Named after 2
Created notable works 1
Different from 1
Maintained by WikiProject 1
← Based on 1
← Different from 1
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Summary

Thue–Morse sequence is a fractal[1].

Body

Origins

Things named after include Axel Thue[7], a mathematician[13], 1863–1922[14], of Norway[15], awarded the Fridtjof Nansen Award of Excellence, Mathematics-Natural sciences class[16], specialised in number theory[17] and Marston Morse[8], a mathematician[18], 1892–1977[19], of United States[20], awarded the Croix de guerre 1914–1918[21], specialised in topology[22].

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.

Inline context (facts about related entities)

  1. [13] ↑ . Wikidata. wikidata.org. → on this site
  2. [14] ↑ . Wikidata. wikidata.org. → on this site
  3. [15] ↑ . Wikidata. wikidata.org. → on this site
  4. [16] ↑ . Wikidata. wikidata.org. → on this site
  5. [17] ↑ . Wikidata. wikidata.org. → on this site
  6. [18] ↑ . Wikidata. wikidata.org. → on this site
  7. [19] ↑ . Wikidata. wikidata.org. → on this site
  8. [20] ↑ . Wikidata. wikidata.org. → on this site
  9. [21] ↑ . Wikidata. wikidata.org. → on this site
  10. [22] ↑ . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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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 November 3, 2026, from https://4ort.xyz/entity/thue-morse-sequence
MLA “Thue–Morse sequence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 Nov. 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: 2026-11-03}}
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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. 8w 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| */ MediaWiki page ID: 10798, Add qualifier to Rosetta Code page ID `Thue-Morse`"
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