Schwarz lantern

en

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Schwarz lantern

Quality:

Schwarz lantern - polyhedral approximation to a cylinder obtained by stacking antiprisms, used as a pathological example to demonstrate that limits of surface areas of polyhedral approximations do not always equal the true surface area. Article “Schwarz lantern” in English Wikipedia has 62.4 points for quality (as of July 1, 2025). The article contains 42 references and 8 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 “Schwarz lantern”, its content was written by 30 registered users of English Wikipedia and edited by 38 registered Wikipedia users in all languages.

The article is cited 69 times in English Wikipedia and cited 78 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #11729 in June 2022
  • Global: #57808 in June 2022

The highest popularity rank from 2008:

  • Local (English): #57087 in June 2022
  • Global: #110379 in June 2022

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, 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)
Schwarz lantern
62.4276
2German (de)
Schwarzscher Stiefel
22.7351
3Indonesian (id)
Lentera Schwarz
18.0117
4Russian (ru)
Сапог Шварца
14.8246
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 "Schwarz lantern" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Schwarz lantern
57 441
2Russian (ru)
Сапог Шварца
30 603
3German (de)
Schwarzscher Stiefel
872
4Indonesian (id)
Lentera Schwarz
425
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 "Schwarz lantern" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Schwarz lantern
1 526
2Russian (ru)
Сапог Шварца
203
3German (de)
Schwarzscher Stiefel
39
4Indonesian (id)
Lentera Schwarz
10
More...

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

The highest AI

Language versions of the article "Schwarz lantern" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Schwarz lantern
30
2Russian (ru)
Сапог Шварца
6
3German (de)
Schwarzscher Stiefel
1
4Indonesian (id)
Lentera Schwarz
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 2025

Language versions of the article "Schwarz lantern" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Schwarzscher Stiefel
0
2English (en)
Schwarz lantern
0
3Indonesian (id)
Lentera Schwarz
0
4Russian (ru)
Сапог Шварца
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 "Schwarz lantern" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Schwarz lantern
69
2Indonesian (id)
Lentera Schwarz
4
3Russian (ru)
Сапог Шварца
3
4German (de)
Schwarzscher Stiefel
2
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
deGerman
Schwarzscher Stiefel
enEnglish
Schwarz lantern
idIndonesian
Lentera Schwarz
ruRussian
Сапог Шварца

Popularity rank trends

Best Rank English:
#57087
06.2022
Global:
#110379
06.2022

AI rank trends

Best Rank English:
#11729
06.2022
Global:
#57808
06.2022

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Schwarz lantern from Wikipedia articles about Staircase paradox, Yoshimura buckling, Runges phenomenon, Kaleidocycle and Surface area. Whereas reading the article about Schwarz lantern people most often go to Wikipedia articles on Runges phenomenon, Yoshimura buckling, Staircase paradox, Kaleidocycle and Pathological.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

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