Möbius transformation

Möbius transformation - fractional linear transformation on the complex projective line. Article "Möbius transformation" in English Wikipedia has 65.1 points for quality (as of July 1, 2025). The article contains 18 references and 42 sections.

This article has the best quality in Russian Wikipedia. However, this article is the most popular in English version.

In June 2025 the article "Möbius transformation" was edited by 1 authors in English Wikipedia and written by 6 authors in all languages.

Since the creation of article "Möbius transformation", its content was written by 209 registered users of English Wikipedia and edited by 523 registered Wikipedia users in all languages.

The article is cited 275 times in English Wikipedia and cited 997 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #1667 in December 2003
• Global: #8675 in December 2003

The highest popularity rank from 2008:

• Local (English): #90964 in March 2015
• Global: #79379 in March 2009

There are 19 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.

#	Language	Quality grade	Quality score
1	Russian (ru) Дробно-линейное преобразование комплексной плоскости		76.7436
2	English (en) Möbius transformation		65.0541
3	Esperanto (eo) Transformo de Möbius		56.8307
4	Japanese (ja) メビウス変換		46.2136
5	Polish (pl) Funkcja homograficzna		42.425
6	Ukrainian (uk) Перетворення Мебіуса		35.4832
7	Chinese (zh) 莫比乌斯变换		27.2359
8	French (fr) Transformation de Möbius		26.5819
9	German (de) Möbiustransformation		18.721
10	Hebrew (he) העתקת מביוס		15.8559

More...

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

The most popular language versions of the article "Möbius transformation" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Möbius transformation		1 538 575
2	Polish (pl) Funkcja homograficzna		403 755
3	German (de) Möbiustransformation		250 433
4	Japanese (ja) メビウス変換		122 616
5	Spanish (es) Transformación de Möbius		82 528
6	French (fr) Transformation de Möbius		64 103
7	Chinese (zh) 莫比乌斯变换		57 110
8	Italian (it) Trasformazione di Möbius		45 216
9	Hebrew (he) העתקת מביוס		32 318
10	Swedish (sv) Möbiusavbildning		15 983

More...

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

The most popular language versions of the article "Möbius transformation" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Möbius transformation		6 465
2	German (de) Möbiustransformation		891
3	Japanese (ja) メビウス変換		638
4	Chinese (zh) 莫比乌斯变换		339
5	French (fr) Transformation de Möbius		333
6	Polish (pl) Funkcja homograficzna		304
7	Spanish (es) Transformación de Möbius		198
8	Italian (it) Trasformazione di Möbius		160
9	Russian (ru) Дробно-линейное преобразование комплексной плоскости		131
10	Korean (ko) 뫼비우스 변환		118

More...

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

Language versions of the article "Möbius transformation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Möbius transformation		209
2	German (de) Möbiustransformation		71
3	Polish (pl) Funkcja homograficzna		38
4	French (fr) Transformation de Möbius		26
5	Japanese (ja) メビウス変換		23
6	Hebrew (he) העתקת מביוס		20
7	Italian (it) Trasformazione di Möbius		18
8	Finnish (fi) Möbius-kuvaus		15
9	Chinese (zh) 莫比乌斯变换		15
10	Esperanto (eo) Transformo de Möbius		14

More...

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

Language versions of the article "Möbius transformation" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	German (de) Möbiustransformation		1
2	English (en) Möbius transformation		1
3	French (fr) Transformation de Möbius		1
4	Polish (pl) Funkcja homograficzna		1
5	Swedish (sv) Möbiusavbildning		1
6	Ukrainian (uk) Перетворення Мебіуса		1
7	Arabic (ar) تحويل موبيوس		0
8	Esperanto (eo) Transformo de Möbius		0
9	Spanish (es) Transformación de Möbius		0
10	Finnish (fi) Möbius-kuvaus		0

More...

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

Language versions of the article "Möbius transformation" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Möbius transformation		275
2	Polish (pl) Funkcja homograficzna		190
3	Spanish (es) Transformación de Möbius		65
4	Japanese (ja) メビウス変換		57
5	German (de) Möbiustransformation		56
6	French (fr) Transformation de Möbius		56
7	Esperanto (eo) Transformo de Möbius		55
8	Korean (ko) 뫼비우스 변환		42
9	Chinese (zh) 莫比乌斯变换		36
10	Ukrainian (uk) Перетворення Мебіуса		34

More...

#	Language	Value
ar	Arabic تحويل موبيوس
de	German Möbiustransformation
en	English Möbius transformation
eo	Esperanto Transformo de Möbius
es	Spanish Transformación de Möbius
fi	Finnish Möbius-kuvaus
fr	French Transformation de Möbius
he	Hebrew העתקת מביוס
it	Italian Trasformazione di Möbius
ja	Japanese メビウス変換
ko	Korean 뫼비우스 변환
nl	Dutch Möbius-transformatie
pl	Polish Funkcja homograficzna
pt	Portuguese Transformação de Möbius
ro	Romanian Transformare Möbius
ru	Russian Дробно-линейное преобразование комплексной плоскости
sv	Swedish Möbiusavbildning
uk	Ukrainian Перетворення Мебіуса
zh	Chinese 莫比乌斯变换

Best Rank

English: #90964 03.2015

Global: #79379 03.2009

Best Rank

English: #1667 12.2003

Global: #8675 12.2003

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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