Jump to content

File:PascalTriangleAnimated2.gif

This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

PascalTriangleAnimated2.gif (260 × 240 pixels, file size: 27 KB, MIME type: image/gif, looped, 84 frames, 12 s)

Summary

Description
English: 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.

This version has the 1 cells already filled in, and includes actual animation to better demonstrate the construction.
Čeština: Animace zobrazuje vytváření Pascalova trojúhelníku.
Date
Source Own work
Author Hersfold
Other versions

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Captions

Pascal's triangle

Items portrayed in this file

depicts

Pascal's triangle

inception

18 April 2008

media type

image/gif

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current18:59, 21 May 2023Thumbnail for version as of 18:59, 21 May 2023260 × 240 (27 KB)PhreneticcReduced file weight with FileOptimizer in lossless compression mode.
19:45, 2 May 2012Thumbnail for version as of 19:45, 2 May 2012260 × 240 (28 KB)Dratini0Optimized and fixed with Gimp, because it did not work for me in LibreOffice and Gimp. I might have made a mistake.
20:49, 18 April 2008Thumbnail for version as of 20:49, 18 April 2008260 × 240 (41 KB)Hersfold{{Information |Description=Pascal's triangle is a geometric arrangement of integers representing the binomial coefficients in a polynominal equation of the format (x + y)<sup>n</sup>. The

Global file usage

The following other wikis use this file:

View more global usage of this file.

Retrieved from "https://en.wikipedia.org/w/index.php?title=File:PascalTriangleAnimated2.gif&oldid=1119404562"