PascalTriangleAnimated

Autor:

Hersfold on the English Wikipedia

Attribution:

Obraz jest oznaczony jako „Wymagane uznanie autorstwa” (attribution required), ale nie podano żadnych informacji o uznaniu autorstwa. Prawdopodobnie parametr atrybucji został pominięty podczas korzystania z szablonu MediaWiki dla licencji CC-BY. Autorzy mogą znaleźć tutaj przykład prawidłowego korzystania z szablonów.

Credit:

Praca własna

Krótki link:

https://www.plwiki.pl/b/1838f

źródło:

Wikimedia Commons

Wymiary:

350 x 400 Pixel (74700 Bytes)

Opis:

Pascal's triangle is a geometric arrangement of integers representing the binomial coefficients in a polynominal equation of the format (x + y)ⁿ. The formation also demonstrates many other mathematical properties, such as listing the entire set of the natural numbers in the first diagonal rows. This phenomenon is named after Blaise Pascal in the western world, however was studied in detail before his time in many Asian countries.

It is also called the Halayudha's triangle, in honor of the Sanskrit prosody scholar who described it. (See: Alexander Zawaira and Gavin Hitchcock (2008), A Primer for Mathematics Competitions, Oxford University Press, ISBN 978-0-19-156170-2, page 237)

It is alternately referred to as "Khayyam's triangle" after the Persian Omar Khayyám. Each number is the sum of the two directly above it. This animation shows this relation in the construction of the first five rows, however the pattern applies for an infinite range.

Licencja:

CC BY-SA 4.0

Warunki licencji:

Creative Commons Attribution-Share Alike 4.0