Quaternions and spatial rotation

en

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Quaternions and spatial rotation

Quality:

Quaternions and spatial rotation - correspondence between quaternions and 3D rotations. Article “Quaternions and spatial rotation” in English Wikipedia has 57.8 points for quality (as of July 1, 2025). The article contains 25 references and 25 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 6.43 points.

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

In June 2025 the article “Quaternions and spatial rotation” was edited by 1 authors in English Wikipedia and written by 5 authors in all languages.

Since the creation of article “Quaternions and spatial rotation”, its content was written by 237 registered users of English Wikipedia and edited by 389 registered Wikipedia users in all languages.

The article is cited 63 times in English Wikipedia and cited 155 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #4399 in May 2003
  • Global: #6954 in February 2003

The highest popularity rank from 2008:

  • Local (English): #24013 in April 2018
  • Global: #45172 in April 2018

There are 9 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)
Quaternions and spatial rotation
57.8367
2Chinese (zh)
四元数与空间旋转
24.0448
3French (fr)
Quaternions et rotation dans l'espace
23.6012
4Korean (ko)
사원수와 회전
21.0202
5Russian (ru)
Кватернионы и вращение пространства
19.0948
6Hebrew (he)
קווטרניונים וסיבובים מרחביים
15.4844
7Italian (it)
Rotazioni spaziali con i quaternioni
12.919
8Spanish (es)
Cuaterniones y rotación en el espacio
7.2701
9Ukrainian (uk)
Кватерніони і повороти простору
3.7379
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 "Quaternions and spatial rotation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Quaternions and spatial rotation
3 450 398
2Russian (ru)
Кватернионы и вращение пространства
270 806
3French (fr)
Quaternions et rotation dans l'espace
256 657
4Chinese (zh)
四元数与空间旋转
167 608
5Spanish (es)
Cuaterniones y rotación en el espacio
136 807
6Italian (it)
Rotazioni spaziali con i quaternioni
75 907
7Ukrainian (uk)
Кватерніони і повороти простору
8 523
8Korean (ko)
사원수와 회전
3 127
9Hebrew (he)
קווטרניונים וסיבובים מרחביים
2 764
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 "Quaternions and spatial rotation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Quaternions and spatial rotation
13 901
2French (fr)
Quaternions et rotation dans l'espace
1 073
3Russian (ru)
Кватернионы и вращение пространства
900
4Chinese (zh)
四元数与空间旋转
499
5Spanish (es)
Cuaterniones y rotación en el espacio
290
6Italian (it)
Rotazioni spaziali con i quaternioni
263
7Korean (ko)
사원수와 회전
52
8Ukrainian (uk)
Кватерніони і повороти простору
52
9Hebrew (he)
קווטרניונים וסיבובים מרחביים
28
More...

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

The highest AI

Language versions of the article "Quaternions and spatial rotation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Quaternions and spatial rotation
237
2French (fr)
Quaternions et rotation dans l'espace
38
3Spanish (es)
Cuaterniones y rotación en el espacio
32
4Russian (ru)
Кватернионы и вращение пространства
26
5Italian (it)
Rotazioni spaziali con i quaternioni
24
6Chinese (zh)
四元数与空间旋转
16
7Hebrew (he)
קווטרניונים וסיבובים מרחביים
8
8Korean (ko)
사원수와 회전
4
9Ukrainian (uk)
Кватерніони і повороти простору
4
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 "Quaternions and spatial rotation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1French (fr)
Quaternions et rotation dans l'espace
4
2English (en)
Quaternions and spatial rotation
1
3Spanish (es)
Cuaterniones y rotación en el espacio
0
4Hebrew (he)
קווטרניונים וסיבובים מרחביים
0
5Italian (it)
Rotazioni spaziali con i quaternioni
0
6Korean (ko)
사원수와 회전
0
7Russian (ru)
Кватернионы и вращение пространства
0
8Ukrainian (uk)
Кватерніони і повороти простору
0
9Chinese (zh)
四元数与空间旋转
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 "Quaternions and spatial rotation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Quaternions and spatial rotation
63
2Spanish (es)
Cuaterniones y rotación en el espacio
29
3French (fr)
Quaternions et rotation dans l'espace
16
4Russian (ru)
Кватернионы и вращение пространства
14
5Ukrainian (uk)
Кватерніони і повороти простору
12
6Chinese (zh)
四元数与空间旋转
8
7Hebrew (he)
קווטרניונים וסיבובים מרחביים
6
8Italian (it)
Rotazioni spaziali con i quaternioni
4
9Korean (ko)
사원수와 회전
3
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
enEnglish
Quaternions and spatial rotation
esSpanish
Cuaterniones y rotación en el espacio
frFrench
Quaternions et rotation dans l'espace
heHebrew
קווטרניונים וסיבובים מרחביים
itItalian
Rotazioni spaziali con i quaternioni
koKorean
사원수와 회전
ruRussian
Кватернионы и вращение пространства
ukUkrainian
Кватерніони і повороти простору
zhChinese
四元数与空间旋转

Popularity rank trends

Best Rank English:
#24013
04.2018
Global:
#45172
04.2018

AI rank trends

Best Rank English:
#4399
05.2003
Global:
#6954
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 Quaternions and spatial rotation from Wikipedia articles about Quaternion, Gimbal lock, Conversion between quaternions and Euler angles, Euler angles and Rotation matrix. Whereas reading the article about Quaternions and spatial rotation people most often go to Wikipedia articles on Quaternion, Rotation matrix, Versor, Gimbal lock and Rotation group SO(3).

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