File:PascalTriangleAnimated.gif
PascalTriangleAnimated.gif (350 × 400 pixels, file size: 36 KB, MIME type: image/gif, looped, 32 frames, 1 min 0 s)
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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. 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. |
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| Source | Own work |
| Author | Hersfold on the English Wikipedia |
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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 | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:02, 21 May 2023 | | 350 × 400 (36 KB) | Phreneticc | Reduced file weight with FileOptimizer in lossless compression mode. |
| 03:15, 16 April 2008 |  | 350 × 400 (73 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>. This |
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