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PascalTriangleAnimated2.gif (260 × 240 piksel, saiz fail: 27 KB, jenis MIME: image/gif, berulang, 84 bingkai, 12 s)

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Ringkasan

Keterangan
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.
Tarikh
Sumber Karya sendiri
Pengarang Hersfold
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Pascal's triangle

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Segi tiga Pascal

tarikh penubuhan

18 April 2008

media type Inggeris

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Tarikh/WaktuGambar kenitUkuranPenggunaKomen
semasa18:59, 21 Mei 2023Gambar kenit bagi versi pada 18:59, 21 Mei 2023260 × 240 (27 KB)PhreneticcReduced file weight with FileOptimizer in lossless compression mode.
19:45, 2 Mei 2012Gambar kenit bagi versi pada 19:45, 2 Mei 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 2008Gambar kenit bagi versi pada 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

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