Image:PascalTriangleAnimated2.gif

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Summary

Description

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, and 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.

Source

self-made

Date

2008- 04-18

Author

Hersfold on the English Wikipedia

Permission
( Reusing this image)

see below

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I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation license, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled " GNU Free Documentation license".

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File history

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Date/Time Dimensions User Comment
current 20:49, 18 April 2008 260×240 (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 )
The following pages on Schools Wikipedia link to this image (list may be incomplete):
The 2008 Wikipedia for Schools was sponsored by a UK Children's Charity, SOS Children UK , and is mainly selected from the English Wikipedia with only minor checks and changes (see www.wikipedia.org for details of authors and sources). See also our Disclaimer.