Lanterna de Schwarz

pt

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Lanterna de Schwarz

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 “Lanterna de Schwarz” in Portuguese Wikipedia has 48.2 points for quality (as of July 1, 2026). The article contains 41 references and 7 sections.

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

Since the creation of article “Lanterna de Schwarz”, its content was written by 4 registered users of Portuguese Wikipedia and edited by 44 registered Wikipedia users in all languages.

The article is cited 2 times in Portuguese Wikipedia and cited 96 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Portuguese): #2386 in September 2025
  • Global: #57957 in June 2022

The highest popularity rank from 2008:

  • Local (Portuguese): #416201 in March 2026
  • Global: #110381 in June 2022

There are 5 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, 2026 (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
62.2288
2Portuguese (pt)
Lanterna de Schwarz
48.2033
3German (de)
Schwarzscher Stiefel
22.0532
4Indonesian (id)
Lentera Schwarz
17.2301
5Russian (ru)
Сапог Шварца
14.8429
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 "Lanterna de Schwarz" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Schwarz lantern
64 187
2Russian (ru)
Сапог Шварца
33 765
3German (de)
Schwarzscher Stiefel
1 331
4Indonesian (id)
Lentera Schwarz
465
5Portuguese (pt)
Lanterna de Schwarz
99
More...

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

Most popular in June 2026

The most popular language versions of the article "Lanterna de Schwarz" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Schwarz lantern
514
2Russian (ru)
Сапог Шварца
171
3German (de)
Schwarzscher Stiefel
30
4Portuguese (pt)
Lanterna de Schwarz
6
5Indonesian (id)
Lentera Schwarz
1
More...

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

The highest AI

Language versions of the article "Lanterna de Schwarz" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Schwarz lantern
31
2Russian (ru)
Сапог Шварца
6
3Portuguese (pt)
Lanterna de Schwarz
4
4German (de)
Schwarzscher Stiefel
2
5Indonesian (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 2026

Language versions of the article "Lanterna de Schwarz" with the highest AI in June 2026
#LanguageAI awardRelative AI
1German (de)
Schwarzscher Stiefel
0
2English (en)
Schwarz lantern
0
3Indonesian (id)
Lentera Schwarz
0
4Portuguese (pt)
Lanterna de Schwarz
0
5Russian (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 "Lanterna de Schwarz" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Schwarz lantern
67
2Russian (ru)
Сапог Шварца
22
3Indonesian (id)
Lentera Schwarz
4
4Portuguese (pt)
Lanterna de Schwarz
2
5German (de)
Schwarzscher Stiefel
1
More...

Scores

Estimated value for Wikipedia:
Portuguese:
Global:
Popularity in June 2026:
Portuguese:
Global:
Popularity in all years:
Portuguese:
Global:
Authors in June 2026:
Portuguese:
Global:
Registered authors in all years:
Portuguese:
Global:
Citations:
Portuguese:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Schwarzscher Stiefel
enEnglish
Schwarz lantern
idIndonesian
Lentera Schwarz
ptPortuguese
Lanterna de Schwarz
ruRussian
Сапог Шварца

Popularity rank trends

Best Rank Portuguese:
#416201
03.2026
Global:
#110381
06.2022

AI rank trends

Best Rank Portuguese:
#2386
09.2025
Global:
#57957
06.2022

Local AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

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

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In Portuguese Wikipedia the most popular articles on that day were: Erling Haaland, República Democrática do Congo, Romelu Lukaku, Copa do Mundo FIFA de 2026, Kylian Mbappé, Senegal, Copa do Mundo FIFA, Lista de artilheiros da Copa do Mundo FIFA, Harry Kane, Carlo Ancelotti.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information