File:PascalTriangleAnimated2.gif
PascalTriangleAnimated2.gif (260 × 240 pixels, file size: 28 KB, MIME type: image/gif, looped, 84 frames, 12 s)
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This image was selected as picture of the month on the Mathematics Portal for October 2008 |
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. |
| Date | 2008-04-18los triangulos sonn triangulos de 3 lados |
| Source | Template:Bill |
| Author | Hersfold on the English Wikipedia |
Licensing
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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.
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