Category:Pascal's triangle

**Pascal's triangle**
	triangular array of the binomial coefficients in mathematics
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	Wikipedia
Instance of	triangular array;
Subclass of	table;
Part of	Pascal's pyramid;
Named after	Blaise Pascal;
Has part(s)	binomial coefficient; Fibonacci sequence;
Authority file
	Q177051; BNCF Thesaurus ID: 40274; NL CR AUT ID: ph348268; J9U ID: 987007529588005171
	Reasonator; Scholia; Wikidocumentaries; PetScan; statistics; WikiMap; Locator tool; KML file; Search depicted;

<nowiki>triángulo de Pascal; Pascal-þríhyrningur; Segi tiga Pascal; Pascal's triangle; Триъгълник на Паскал; Triunghiul lui Pascal; خیام تکون; Pascalov trojuholník; Трикутник Паскаля; Paskal üçburçlugy; 楊輝三角形; 杨辉三角形; S Paskalsche Dreieck; Arifmetik uchburchak; পাস্কেলৰ ত্ৰিভুজ; paskala triangulo; Pascalův trojúhelník; Pascalov trougao; প্যাসকেলের ত্রিভুজ; triangle de Pascal; tam giác Pascal; Paskāla trijstūris; Паскалов троугао; triângulo de Pascal; 杨辉三角形; Паскалийн гурвалжин; Pascals trekant; Pascals trekant; Tusi-Paskal üçbucağı; 賈憲三角; سێگۆشەی پاسکاڵ; Pascal's triangle; مثلث باسكال; 楊輝三角; Арифметикалык үч бурчтук; Pascalen hiruki; triangle de Tartaglia; pascalsches Dreieck; Паскалов троугао; 杨辉三角形; Pascals trekant; პასკალის სამკუთხედი; パスカルの三角形; පැස්කල් ත්‍රිකෝණය; Triangulum arithmeticum Pascalianum; मेरु प्रस्तार; 杨辉三角形; Pascalin kolmio; Pascal's triangle; Sekunçai Xajjom-Paskal; triangolo di Tartaglia; трыкутнік Паскаля; 楊輝三角形; 杨辉三角形; משולש פסקל; Պասկալի եռանկյուն; 파스칼의 삼각형; Trianculu di Tartaglia; Paskalov trougao; triângulo de Pascal; Paskalov trougao; สามเหลี่ยมปัสกาล; Paskalio trikampis; Pascalov trikotnik; 楊輝三角形; مثلث خیام; பாஸ்கலின் முக்கோணம்; Segitiga Pascal; Trójkąt Pascala; Pascals triangel; driehoek van Pascal; Pascal-háromszög; Секунҷаи Хайём-Паскал; треугольник Паскаля; Pascal saⁿ-kak-hêng; triángulo de Pascal; Pascal üçgeni; Τρίγωνο του Πασκάλ; پاسکل تکون; triangolo costituito dai coefficienti binomiali; গণিতে দ্বিপদী সহগের বিন্যাস বিশিষ্ট ত্রিভুজ; tableau des coefficients binomiaux en mathématiques sous forme de triangle, et formule de théorie des nombres associée; бесконечная треугольная таблица биномиальных коэффициентов; Form der grafischen Darstellung der Binomialkoeffizienten; matriz triangular dos coeficientes binomiais; triangular array of the binomial coefficients in mathematics; trijstūrmatrica, kas sastāv no binomiālkoeficientiem; 二项式系数的一种写法; пирамидална шема, која представља биномне коефицијенте; trikotna tabela binomskih koeficientov v matematiki; 二項展開における係数を三角形状に並べた図形; matriz triangular dos coeficientes binomiais; geometrisk figur; diagram przedstawiający wartości symbolu Newtona – współczynniki dwumienne; אמצעי המחשה וחישוב גרפי למקדמים הבינומיים של ניוטון; مصفوفة مثلثية الشكل لمعاملات ذو الحدين في الرياضيات; representación de los coeficientes binomiales ordenados en forma triangular; triangular array of the binomial coefficients in mathematics; triangular array of the binomial coefficients in mathematics; geometrické uspořádání binomických koeficientů do tvaru trojúhelníku; geometrisk fremstilling av binomialkoeffisientene i en trekant; triangolo di Stiefel; triangolo di Pascal; triangolo di Yanghui; Паскалеў трыкутнік; Tartagliaren hiruki; арифметический треугольник; Chayyam-Dreieck; Pascal’sches Dreieck; Pascaldreieck; Chayyām-Dreieck; Pascal'sches Koeffizienten-Schema; Pascal-Dreieck; Yang-Hui-Dreieck; Tartaglia-Dreieck; Pascal'sches Dreieck; triângulo de Yang Hui; triângulo de Yanghui; triângulo de Tartaglia; Pascalsþríhyrningurinn; Pascalþríhyrningur; Pascalsþríhyrningur; Einkenni Pascals; مثلث خیام-پاسکال; مثلث خیام پاسکال; مثلث پاسکال; مثلت تارتالیا; مثلت پاسکال; 帕斯卡三角形; 賈憲三角形; 贾宪三角; 巴斯卡三角形; 贾宪三角形; 帕斯卡三角; 杨辉三角; triángulo de Tartaglia; coeficiente binomial y triangulo de Pascal; triangulo de Yanghui; triangulo de Pascal; coeficiente binomial y triángulo de Pascal; triángulo de Yanghui; triangulo de Tartaglia; triangulo de Paskalo; Pascal triangle; Pascal's triangle; Khayyám triangle; Pascals triangle; Pascals tringle; Chinese's triangle; Yang Hui's Triangle; Khayyam-Pascal's triangle; Yanghui triangle; Pascal triangle; Triangle of Pascal; Pascals triagle; Tartaglia's triangle; Triangle's Pascal; 파스칼 삼각형; Pascal's triangle; Pascals triangel; Pascals taltrekant; Паскаля трикутник; Арифметичний трикутник; Pascalov trokut; Паскалов троугао; Мӯсалласе Хаём-Поскол; Мӯсалласе Хайём-Поскол; Мусалласи Хайём-Поскол; Triangle de tartàglia; Triangle de Pascal; Paskalsche Dreieck; Arifmetik Uchburchak; Khayyam's triangle; Khayyam-Pascal triangle; Yang Hui's triangle; Tartaglia's triangle; مثلث الخيام; مثلث عمر الخيام; Pascals triangelschema; பாசுக்கலின் முக்கோணம்</nowiki>

Wikiversity has tips on how to create Pascal's triangle using wikitext.

${\begin{array}{lc}(a+b)^{0}=&{\color {Red}{\boldsymbol {1}}}\\(a+b)^{1}=&{\color {Red}{\boldsymbol {1}}}a+{\color {Red}{\boldsymbol {1}}}b\\(a+b)^{2}=&{\color {Red}{\boldsymbol {1}}}a^{2}+{\color {Red}{\boldsymbol {2}}}ab+{\color {Red}{\boldsymbol {1}}}b^{2}\\(a+b)^{3}=&{\color {Red}{\boldsymbol {1}}}a^{3}+{\color {Red}{\boldsymbol {3}}}a^{2}b+{\color {Red}{\boldsymbol {3}}}ab^{2}+{\color {Red}{\boldsymbol {1}}}b^{3}\\(a+b)^{4}=&{\color {Red}{\boldsymbol {1}}}a^{4}+{\color {Red}{\boldsymbol {4}}}a^{3}b+{\color {Red}{\boldsymbol {6}}}a^{2}b^{2}+{\color {Red}{\boldsymbol {4}}}ab^{3}+{\color {Red}{\boldsymbol {1}}}b^{4}\\\end{array}}$

Subcategories

This category has the following 2 subcategories, out of 2 total.

P

Pascal matrix (1 F)
Pascal's pyramid (3 F)

Media in category "Pascal's triangle"

The following 126 files are in this category, out of 126 total.

3-Pascal.png 1,200 × 1,040; 216 KB
3d-Pascal.png 960 × 600; 27 KB
4-cubePascal.svg 692 × 622; 44 KB
Algebra1 12 fig002.svg 200 × 120; 11 KB
Algebra1 12 fig003.svg 180 × 125; 18 KB
Bernoulli triangle columns.svg 512 × 384; 4 KB
Bernoulli triangle derivation.svg 512 × 256; 3 KB
Binary Pascal's Triangle.png 1,904 × 2,096; 1.25 MB
Britannica Differences, Calculus of.jpg 288 × 124; 9 KB
Bw3i.jpg 800 × 600; 213 KB
Cake numbers visual proof.svg 512 × 384; 1 KB
Central binomial coefficient sports.svg 512 × 512; 9 KB
Circle division by chords visual proof.svg 512 × 384; 1 KB
Clases residuales mód 2 en el Triángulo de Pascal.svg 1,875 × 451; 298 KB
Crossehockey.gif 378 × 387; 36 KB
Dimensional Invariance.jpg 895 × 469; 79 KB
E Euler's Pascal's Triangle.png 576 × 346; 25 KB
Etoilededavidpascal.gif 297 × 252; 4 KB
Exp binomial grey.svg 822 × 390; 5 KB
Expcompte.svg 523 × 300; 76 KB
Fibonacci in Pascal triangle.png 412 × 420; 60 KB
Fibonacci polynomial.png 500 × 308; 26 KB
IDM-2023-comic-challenge-30.jpg 1,280 × 720; 76 KB
Lazy caterer sequence visual proof.svg 512 × 384; 1,019 bytes
Lege odhl.gif 560 × 410; 79 KB
Mathematical tables- containing common, hyperbolic, and logistic logarithms Fleuron T053068-2.png 953 × 987; 45 KB
Modulus Nine.gif 755 × 755; 2.24 MB
Nominale pascal driehoek.png 819 × 696; 18 KB
Padovan Sequence 2.jpg 816 × 492; 44 KB
Pascal paths.jpg 1,275 × 1,650; 86 KB
Pascal triangle 3d animation.svg 512 × 384; 14 KB
Pascal triangle 50.pdf 4,606 × 1,741; 48 KB
Pascal triangle compositions.svg 512 × 512; 7 KB
Pascal triangle extended.svg 512 × 341; 54 KB
Pascal triangle Fibonacci.png 520 × 274; 3 KB
Pascal triangle fibonacci.svg 512 × 512; 2 KB
Pascal triangle modulo 3.png 1,478 × 732; 18 KB
Pascal triangle modulo 5.png 1,294 × 638; 14 KB
Pascal triangle simplex numbers.svg 512 × 341; 5 KB
Pascal triangle small.png 364 × 164; 2 KB
Pascal triangle small.svg 403 × 151; 37 KB
Pascal triangle trip.jpg 1,255 × 876; 42 KB
Pascal triangle.png 21,750 × 1,004; 1.16 MB
Pascal triangle.svg 588 × 251; 144 KB
Pascal's pyramid layer 20.png 756 × 84; 1 KB
Pascal's triangle - 1000th row.png 1,500 × 5,005; 395 KB
Pascal's Triangle 4 paths.svg 685 × 450; 15 KB
Pascal's triangle 5.svg 540 × 389; 40 KB
Pascal's Triangle animated binary rows.gif 400 × 400; 344 KB
Pascal's Triangle dcb.png 1,081 × 416; 74 KB
Pascal's Triangle divisible by 2.svg 655 × 396; 32 KB
Pascal's Triangle divisible by 3.svg 655 × 396; 32 KB
Pascal's Triangle divisible by 4.svg 655 × 396; 32 KB
Pascal's Triangle divisible by 5.svg 655 × 396; 32 KB
Pascal's triangle pathways.svg 1,010 × 1,010; 22 KB
Pascal's Triangle rows 0-16.svg 615 × 370; 28 KB
Pascal's Triangle rows 0-16; details.svg 996 × 671; 420 KB
Pascal's Triangle with even numbers shaded.svg 512 × 563; 19 KB
Pascal's Triangle with odd numbers shaded.svg 512 × 563; 19 KB
Pascal's Triangle.png 371 × 368; 51 KB
Pascal's triangle00.jpg 1,024 × 680; 280 KB
Pascal's triangle; binomial distribution.svg 794 × 688; 355 KB
Pascal'sTriangle.jpg 506 × 309; 34 KB
Pascal-Sierpinski.png 458 × 374; 95 KB
Pascal1.png 300 × 188; 17 KB
Pascal2.png 350 × 220; 22 KB
Pascal3.jpg 752 × 424; 51 KB
Pascal3.png 350 × 220; 21 KB
Pascal4.png 350 × 195; 23 KB
PascalAnfang.png 201 × 142; 16 KB
PascalAnfang2.png 387 × 244; 33 KB
PascalAnfang3.png 529 × 347; 53 KB
PascalFibonacci.svg 1,000 × 1,150; 43 KB
PascalForDecimalRoots.svg 240 × 120; 2 KB
Pascals triangle 30 lines.png 1,768 × 616; 62 KB
Pascalsche.Pyramide.png 1,371 × 1,024; 32 KB
Pascalsches Dreieck 2.pdf 1,264 × 910; 29 KB
Pascalsches Dreieck.svg 800 × 132; 17 KB
PascalSimetria.svg 880 × 389; 85 KB
PascalsTriangle.png 635 × 512; 14 KB
PascalsTriangleCoefficient.svg 294 × 231; 75 KB
PascalThm.svg 400 × 325; 52 KB
Pascaltriangle2.PNG 383 × 205; 7 KB
PascalTriangleAnimated.gif 350 × 400; 36 KB
PascalTriangleAnimated2.gif 260 × 240; 27 KB
PascalTriangleFibanacci.png 360 × 180; 7 KB
PascalTriangleFibanacci.svg 480 × 240; 4 KB
Pascalungerade.svg 1,300 × 700; 1 KB
PascalungeradeDreieckeGleichseitig.gif 648 × 562; 28 KB
PascalungeradeDreieckeGleichseitig.svg 650 × 700; 1 KB
PascalungeradePunkte.svg 1,300 × 700; 1 KB
Recreations for gentlemen and ladies- being, ingenious sports and pastimes Fleuron T179913-7.png 844 × 893; 35 KB
SantaClaraRedwood-1983-p64-Pascals-Triangle.jpg 2,222 × 1,668; 279 KB
Sierpinski Gasket in Pascal's Triangle.gif 400 × 372; 2.99 MB
Sierpinski Pascal triangle.svg 512 × 448; 136 KB
Simplex-1.svg 512 × 205; 8 KB
Simplex-2.svg 512 × 512; 19 KB
Simplex-3.svg 512 × 512; 22 KB
Simplex-4.svg 512 × 193; 52 KB
Sister Pascal Triangle Pathways.png 635 × 743; 29 KB
Sister Pascal's Triangle.png 563 × 228; 4 KB
Tartaglia's triangle.svg 743 × 748; 135 KB
Tartagliamod2esuccessionequadratisirpinskiani16.gif 1,000 × 1,000; 29 KB
Tartaglias Triangle from his General Trattato.jpg 690 × 364; 191 KB
Tartaglia̠mod2eSierpinskiinsuccesionequadrati.gif 600 × 700; 10 KB
Tetraedre-Pascal-base-7.jpg 659 × 749; 69 KB
TREKËNDËSHI I PASKALIT.pdf 1,275 × 1,650, 4 pages; 211 KB
TrianglePascal GrapheImpair.svg 455 × 396; 31 KB
Triangulo de Joel.jpg 12,616 × 5,440; 2.58 MB
Triangulo de Pascal.svg 2,731 × 1,972; 260 KB
TrianguloPascal.jpg 647 × 536; 277 KB
TrianguloPascal.svg 530 × 390; 39 KB
TrianguloPascalC.svg 430 × 300; 59 KB
Triángulo de Pascal colores.png 567 × 274; 5 KB
Triángulo de Pascal con n primo.png 394 × 204; 3 KB
Triángulo de Pascal en tabla.png 567 × 227; 4 KB
Triángulo de Pascal sin rótulo.svg 720 × 630; 206 KB
Triángulo de Pascal.png 300 × 195; 1 KB
Triángulo de Pascal.svg 720 × 765; 245 KB
Walking on Pascal's Triangle SVG.svg 529 × 255; 20 KB
Walking on Pascal's Triangle.png 529 × 242; 20 KB
Yanghui triangle.gif 704 × 1,095; 59 KB
Yanghui triangle.PNG 475 × 753; 120 KB
Треугольник Паскаля.png 588 × 251; 19 KB
Треугольник Паскаля.svg 2,731 × 1,972; 289 KB
パスカルの三角形の倍数に色を付けたもの。.gif 598 × 558; 956 KB

Category:Pascal's triangle

Subcategories

P

Media in category "Pascal's triangle"

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