Duality (projective geometry)

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Duality (projective geometry)

Quality:

Duality - symmetry in projective geometry. Article "Duality (projective geometry)" in English Wikipedia has 61.3 points for quality (as of July 1, 2025). The article contains 32 references and 22 sections.

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

Since the creation of article "Duality (projective geometry)", its content was written by 52 registered users of English Wikipedia and edited by 171 registered Wikipedia users in all languages.

The article is cited 129 times in English Wikipedia and cited 317 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #37939 in March 2005
  • Global: #95326 in March 2005

The highest popularity rank from 2008:

  • Local (English): #193808 in April 2015
  • Global: #287063 in April 2015

There are 13 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)
Duality (projective geometry)
61.2733
2Spanish (es)
Dualidad (geometría proyectiva)
47.8889
3Polish (pl)
Zasada dualności
32.8841
4Russian (ru)
Проективная двойственность
28.1681
5French (fr)
Dualité (géométrie projective)
24.9069
6Ukrainian (uk)
Двоїстість (проєктивна геометрія)
24.5059
7Hungarian (hu)
Dualitás a projektív geometriában
20.6838
8Swedish (sv)
Dualitet (projektiv geometri)
17.796
9Uzbek (uz)
Ikkilik prinsipi
9.3664
10Arabic (ar)
مثنوية (هندسة إسقاطية)
8.5832
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 "Duality (projective geometry)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Duality (projective geometry)
291 424
2Russian (ru)
Проективная двойственность
41 953
3French (fr)
Dualité (géométrie projective)
40 949
4Polish (pl)
Zasada dualności
29 091
5Spanish (es)
Dualidad (geometría proyectiva)
18 117
6Dutch (nl)
Dualiteit (meetkunde)
12 624
7Swedish (sv)
Dualitet (projektiv geometri)
10 393
8Thai (th)
ทวิภาวะ (คณิตศาสตร์)
5 953
9Hungarian (hu)
Dualitás a projektív geometriában
5 190
10Uzbek (uz)
Ikkilik prinsipi
4 559
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 "Duality (projective geometry)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Duality (projective geometry)
1 665
2Russian (ru)
Проективная двойственность
165
3Spanish (es)
Dualidad (geometría proyectiva)
90
4French (fr)
Dualité (géométrie projective)
81
5Polish (pl)
Zasada dualności
49
6Chinese (zh)
对偶 (投影几何)
41
7Hungarian (hu)
Dualitás a projektív geometriában
28
8Uzbek (uz)
Ikkilik prinsipi
27
9Swedish (sv)
Dualitet (projektiv geometri)
22
10Dutch (nl)
Dualiteit (meetkunde)
17
More...

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

The highest AI

Language versions of the article "Duality (projective geometry)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Duality (projective geometry)
52
2French (fr)
Dualité (géométrie projective)
33
3Russian (ru)
Проективная двойственность
27
4Spanish (es)
Dualidad (geometría proyectiva)
13
5Dutch (nl)
Dualiteit (meetkunde)
12
6Hungarian (hu)
Dualitás a projektív geometriában
10
7Polish (pl)
Zasada dualności
9
8Swedish (sv)
Dualitet (projektiv geometri)
5
9Thai (th)
ทวิภาวะ (คณิตศาสตร์)
3
10Arabic (ar)
مثنوية (هندسة إسقاطية)
2
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 "Duality (projective geometry)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
مثنوية (هندسة إسقاطية)
3
2Hungarian (hu)
Dualitás a projektív geometriában
1
3Swedish (sv)
Dualitet (projektiv geometri)
1
4English (en)
Duality (projective geometry)
0
5Spanish (es)
Dualidad (geometría proyectiva)
0
6French (fr)
Dualité (géométrie projective)
0
7Dutch (nl)
Dualiteit (meetkunde)
0
8Polish (pl)
Zasada dualności
0
9Russian (ru)
Проективная двойственность
0
10Thai (th)
ทวิภาวะ (คณิตศาสตร์)
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 "Duality (projective geometry)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Duality (projective geometry)
129
2French (fr)
Dualité (géométrie projective)
40
3Russian (ru)
Проективная двойственность
37
4Spanish (es)
Dualidad (geometría proyectiva)
32
5Ukrainian (uk)
Двоїстість (проєктивна геометрія)
20
6Swedish (sv)
Dualitet (projektiv geometri)
16
7Dutch (nl)
Dualiteit (meetkunde)
15
8Polish (pl)
Zasada dualności
12
9Hungarian (hu)
Dualitás a projektív geometriában
6
10Uzbek (uz)
Ikkilik prinsipi
6
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مثنوية (هندسة إسقاطية)
enEnglish
Duality (projective geometry)
esSpanish
Dualidad (geometría proyectiva)
frFrench
Dualité (géométrie projective)
huHungarian
Dualitás a projektív geometriában
nlDutch
Dualiteit (meetkunde)
plPolish
Zasada dualności
ruRussian
Проективная двойственность
svSwedish
Dualitet (projektiv geometri)
thThai
ทวิภาวะ (คณิตศาสตร์)
ukUkrainian
Двоїстість (проєктивна геометрія)
uzUzbek
Ikkilik prinsipi
zhChinese
对偶 (投影几何)

Popularity rank trends

Best Rank English:
#193808
04.2015
Global:
#287063
04.2015

AI rank trends

Best Rank English:
#37939
03.2005
Global:
#95326
03.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Duality from Wikipedia articles about Projective geometry, Duality, Polarity, Legendre transformation and Homogeneous coordinates. Whereas reading the article about Duality people most often go to Wikipedia articles on Desargues theorem, Projective plane, Duality, Dual curve and Projective geometry.

Cumulative results of quality and popularity of the Wikipedia article

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

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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