Riemann sphere

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Riemann sphere

Quality:

Riemann sphere - model of the extended complex plane plus a point at infinity. Article “Riemann sphere” in Simple English Wikipedia has 4.2 points for quality (as of July 1, 2025).

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

Since the creation of article “Riemann sphere”, its content was written by 5 registered users of Simple English Wikipedia and edited by 601 registered Wikipedia users in all languages.

The article is cited 3 times in Simple English Wikipedia and cited 1288 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Simple English): #1643 in April 2014
  • Global: #7243 in February 2003

The highest popularity rank from 2008:

  • Local (Simple English): #10431 in September 2019
  • Global: #75161 in May 2018

There are 31 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, 2025 (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)
Riemann sphere
36.948
2Catalan (ca)
Esfera de Riemann
31.4284
3Chinese (zh)
黎曼球面
30.5283
4Polish (pl)
Sfera Riemanna
28.1895
5Greek (el)
Σφαίρα του Ρίμαν
27.8386
6Spanish (es)
Esfera de Riemann
25.1105
7Romanian (ro)
Sfera Riemann
22.7065
8Russian (ru)
Сфера Римана
22.4252
9Slovak (sk)
Riemannova guľa
20.367
10Finnish (fi)
Riemannin pallo
19.2856
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 "Riemann sphere" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Riemann sphere
1 275 421
2Russian (ru)
Сфера Римана
228 982
3Japanese (ja)
リーマン球面
187 747
4German (de)
Riemannsche Zahlenkugel
134 171
5French (fr)
Sphère de Riemann
95 114
6Italian (it)
Sfera di Riemann
92 745
7Spanish (es)
Esfera de Riemann
71 068
8Chinese (zh)
黎曼球面
58 085
9Polish (pl)
Sfera Riemanna
40 701
10Persian (fa)
کره ریمان
25 622
More...

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

Most popular in June 2025

The most popular language versions of the article "Riemann sphere" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Riemann sphere
5 460
2Russian (ru)
Сфера Римана
864
3Japanese (ja)
リーマン球面
849
4German (de)
Riemannsche Zahlenkugel
446
5French (fr)
Sphère de Riemann
317
6Italian (it)
Sfera di Riemann
284
7Chinese (zh)
黎曼球面
278
8Spanish (es)
Esfera de Riemann
234
9Simple English (simple)
Riemann sphere
204
10Korean (ko)
리만 구
143
More...

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

The highest AI

Language versions of the article "Riemann sphere" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Riemann sphere
139
2French (fr)
Sphère de Riemann
60
3German (de)
Riemannsche Zahlenkugel
59
4Russian (ru)
Сфера Римана
44
5Italian (it)
Sfera di Riemann
37
6Norwegian (no)
Riemannsk sfære
31
7Japanese (ja)
リーマン球面
24
8Hebrew (he)
הספירה של רימן
22
9Dutch (nl)
Riemann-sfeer
21
10Polish (pl)
Sfera Riemanna
20
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 2025

Language versions of the article "Riemann sphere" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Czech (cs)
Riemannova sféra
1
2English (en)
Riemann sphere
1
3Spanish (es)
Esfera de Riemann
1
4Arabic (ar)
كرة ريمان
0
5Catalan (ca)
Esfera de Riemann
0
6German (de)
Riemannsche Zahlenkugel
0
7Greek (el)
Σφαίρα του Ρίμαν
0
8Esperanto (eo)
Rimana sfero
0
9Basque (eu)
Riemannen esfera
0
10Persian (fa)
کره ریمان
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 "Riemann sphere" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Riemann sphere
400
2Japanese (ja)
リーマン球面
94
3French (fr)
Sphère de Riemann
77
4Russian (ru)
Сфера Римана
69
5Korean (ko)
리만 구
65
6German (de)
Riemannsche Zahlenkugel
61
7Chinese (zh)
黎曼球面
58
8Polish (pl)
Sfera Riemanna
50
9Ukrainian (uk)
Сфера Рімана
45
10Spanish (es)
Esfera de Riemann
44
More...

Scores

Estimated value for Wikipedia:
Simple English:
Global:
Popularity in June 2025:
Simple English:
Global:
Popularity in all years:
Simple English:
Global:
Authors in June 2025:
Simple English:
Global:
Registered authors in all years:
Simple English:
Global:
Citations:
Simple English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
كرة ريمان
caCatalan
Esfera de Riemann
csCzech
Riemannova sféra
deGerman
Riemannsche Zahlenkugel
elGreek
Σφαίρα του Ρίμαν
enEnglish
Riemann sphere
eoEsperanto
Rimana sfero
esSpanish
Esfera de Riemann
euBasque
Riemannen esfera
faPersian
کره ریمان
fiFinnish
Riemannin pallo
frFrench
Sphère de Riemann
glGalician
Esfera de Riemann
heHebrew
הספירה של רימן
itItalian
Sfera di Riemann
jaJapanese
リーマン球面
koKorean
리만 구
nlDutch
Riemann-sfeer
noNorwegian
Riemannsk sfære
plPolish
Sfera Riemanna
ptPortuguese
Esfera de Riemann
roRomanian
Sfera Riemann
ruRussian
Сфера Римана
simpleSimple English
Riemann sphere
skSlovak
Riemannova guľa
slSlovenian
Riemannova sfera
srSerbian
Rimanova sfera
svSwedish
Riemannsfären
trTurkish
Riemann küresi
ukUkrainian
Сфера Рімана
zhChinese
黎曼球面

Popularity rank trends

Best Rank Simple English:
#10431
09.2019
Global:
#75161
05.2018

AI rank trends

Best Rank Simple English:
#1643
04.2014
Global:
#7243
02.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Riemann sphere from Wikipedia articles about Riemann surface, Bloch sphere, Complex plane, Möbius transformation and Complex projective space. Whereas reading the article about Riemann sphere people most often go to Wikipedia articles on Stereographic projection, Riemann surface, Bernhard Riemann, Möbius transformation and Bloch sphere.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 10 February 2026

On 10 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Ghislaine Maxwell, Ilia Malinin, Bad Bunny, 2026 Winter Olympics, Epstein files, Jutta Leerdam, Jake Paul, Puerto Rico, Little Saint James.

In Simple English Wikipedia the most popular articles on that day were: List of European countries, Black, Jeffrey Epstein, XXXTentacion, Megan Skiendiel, Jessica Alba, Golden Edge, Manon Bannerman, Ghislaine Maxwell, Blake Carrett.

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 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information