Three-gap theorem

en

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Three-gap theorem

Quality:

Three-gap theorem - On points on a circle placed at angles of θ, 2θ, 3θ ... from the starting point. Article “Three-gap theorem” in English Wikipedia has 53.5 points for quality (as of July 1, 2026). The article contains 39 references and 9 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Three-gap theorem”, its content was written by 18 registered users of English Wikipedia and edited by 36 registered Wikipedia users in all languages.

The article is cited 9 times in English Wikipedia and cited 14 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #60507 in April 2018
  • Global: #197910 in April 2018

The highest popularity rank from 2008:

  • Local (English): #297411 in May 2018
  • Global: #507406 in May 2018

There are 4 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2026 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Three-gap theorem
53.4521
2Spanish (es)
Teorema de los tres intervalos
42.3852
3French (fr)
Théorème des trois longueurs
19.3525
4Catalan (ca)
Teorema de tres distàncies
19.0517
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Three-gap theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Three-gap theorem
37 505
2French (fr)
Théorème des trois longueurs
4 576
3Catalan (ca)
Teorema de tres distàncies
96
4Spanish (es)
Teorema de los tres intervalos
62
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2026

The most popular language versions of the article "Three-gap theorem" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Three-gap theorem
950
2French (fr)
Théorème des trois longueurs
27
3Spanish (es)
Teorema de los tres intervalos
16
4Catalan (ca)
Teorema de tres distàncies
5
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Three-gap theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Three-gap theorem
18
2French (fr)
Théorème des trois longueurs
15
3Spanish (es)
Teorema de los tres intervalos
2
4Catalan (ca)
Teorema de tres distàncies
1
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2026

Language versions of the article "Three-gap theorem" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Spanish (es)
Teorema de los tres intervalos
1
2Catalan (ca)
Teorema de tres distàncies
0
3English (en)
Three-gap theorem
0
4French (fr)
Théorème des trois longueurs
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Three-gap theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Three-gap theorem
9
2Catalan (ca)
Teorema de tres distàncies
2
3French (fr)
Théorème des trois longueurs
2
4Spanish (es)
Teorema de los tres intervalos
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema de tres distàncies
enEnglish
Three-gap theorem
esSpanish
Teorema de los tres intervalos
frFrench
Théorème des trois longueurs

Popularity rank trends

Best Rank English:
#297411
05.2018
Global:
#507406
05.2018

AI rank trends

Best Rank English:
#60507
04.2018
Global:
#197910
04.2018

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Three-gap theorem from Wikipedia articles about Equidistribution theorem, Phyllotaxis, Hugo Steinhaus, Vera T. Sós and Lonely runner conjecture. Whereas reading the article about Three-gap theorem people most often go to Wikipedia articles on Lonely runner conjecture, Equidistribution theorem, Vera T. Sós, Hugo Steinhaus and Ergodic theory.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information