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 123 Wikipedia views per month (fractal category, ranking #8 of 16).[2]

Key Facts

  • Thue–Morse sequence's image is recorded as Thue-Morse binary digit sum.svg[3].
  • Thue–Morse sequence's image is recorded as Thue-Morse L-System.svg[4].
  • Thue–Morse sequence's image is recorded as Morse-Thue sequence.gif[5].
  • Thue–Morse sequence's instance of is recorded as fractal[6].
  • Thue–Morse sequence's instance of is recorded as integer sequence[7].
  • Thue–Morse sequence's instance of is recorded as infinite sequence[8].
  • Thue–Morse sequence's instance of is recorded as bounded sequence[9].
  • Thue–Morse sequence's instance of is recorded as automatic sequence[10].
  • Thue–Morse sequence's instance of is recorded as mathematical concept[11].
  • Thue–Morse sequence's audio is recorded as Thue-Morse beeps.ogg[12].
  • Axel Thue is named after Thue–Morse sequence[13].
  • Marston Morse is named after Thue–Morse sequence[14].
  • Thue–Morse sequence's Commons category is recorded as Thue-Morse sequence[15].
  • Thue–Morse sequence's Freebase ID is recorded as /m/02gx_s[16].
  • Thue–Morse sequence's OEIS ID is recorded as A010060[17].
  • Thue–Morse sequence's different from is recorded as Abacaba pattern[18].
  • Thue–Morse sequence's different from is recorded as Kolakoski sequence[19].
  • Thue–Morse sequence's different from is recorded as regular paperfolding sequence[20].
  • Thue–Morse sequence's MathWorld ID is recorded as Thue-MorseSequence[21].
  • Thue–Morse sequence's Rosetta Code page ID is recorded as Thue-Morse[22].
  • Thue–Morse sequence's maintained by WikiProject is recorded as WikiProject Mathematics[23].
  • Thue–Morse sequence's Microsoft Academic ID is recorded as 2775882457[24].

Why It Matters

Thue–Morse sequence draws 123 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.[25] It is known by 12 alternative names across languages and contexts.[26]

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] . Freebase Data Dumps. wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [25] . Wikidata sitelinks. wikidata.org.
  3. [26] . 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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