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Uncommon card · Science
Theorema Egregium, an Uncommon card
Gauss's Theorema Egregium is a major result of differential geometry, proved by Carl Friedrich Gauss in 1827, that concerns the curvature of surfaces.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 61
- DEF
- 28
- Power
- 89
- Wikipedia reads a year
- 30,000
Power 89 (ATK + DEF): stronger than 30 % of WikiCards cards.
Theorema Egregium quiz: 3 questions
Three questions on the Theorema Egregium card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
Thus the Gaussian curvature is an ______ invariant of a surface.
Answer
intrinsic. Thus the Gaussian curvature is an intrinsic invariant of a surface. From the Theorema Egregium article on Wikipedia.
In which decade?
Gauss's Theorema Egregium is a major result of differential geometry, proved by Carl Friedrich Gauss in ____, that concerns the curvature of surfaces.
Answer
1820s. Gauss's Theorema Egregium is a major result of differential geometry, proved by Carl Friedrich Gauss in 1827, that concerns the curvature of surfaces. From the Theorema Egregium article on Wikipedia.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- The theorem says that Gaussian curvature can be determined entirely by measuring angles, distances and their rates of change on a surface, without reference to the particular manner in which the surface is embedded in the ambient 3-dimensional Euclidean space.
- In other words, the Gaussian curvature of a surface does not change if one bends the surface without stretching it.
- Thus the Gaussian curvature is an intrinsic invariant of a surface.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Theorema Egregium article was read about 30,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 61 and blocks with 28: each hit it takes is cut by 11 %.
How to get Theorema Egregium
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
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The cards just above and just below Theorema Egregium in the power ranking, all domains together.
- Alessandro ScarlattiUncommon · Arts · ATK 60 DEF 29
- José Manuel RestrepoUncommon · History · ATK 60 DEF 29
- Kailash Mansarovar YatraUncommon · Nature · ATK 57 DEF 32
- Yasutaka NakataUncommon · Arts · ATK 61 DEF 28
- James LancasterUncommon · History · ATK 56 DEF 33
- Sock hopUncommon · Arts · ATK 50 DEF 39
Card lists
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Credits
Text : Wikipedia, Theorema Egregium (revision), CC BY-SA 4.0. Photo : Eric Gaba ( Sting - fr:Sting ), CC BY-SA 4.0, Wikimedia Commons.