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Download the 3 sprites and 13 scripts of "Fibonacci in Pascal'…" and open it in Scratch Project Notes
ICampeao and I did this project inspired by the work of DrSuper at (link to project) . We remembered the interesting presence of the Fibonacci's sequence numbers in Pascal's triangle, and this project was born.
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ICampeao e eu fizemos este projecto inspirados pelo trabalho de DrSuper em (link to project) . Lembrámo-nos da interessante presença dos números da sequência de Fibonacci no triângulo de Pascal, e nasceu este projeto.
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Music: Aleksi Campagne, "pascal's triangle" (excerpt) - YouTube
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In Original notes:
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Pascal's triangle is a triangular array of the binomial coefficients in a triangle. It is named after the French mathematician Blaise Pascal in much of the Western world, although other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy. Go to http://en.wikipedia.org/wiki/Pascal%27s_triangle for a complete description.
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For a Fantastic book on Pascal's Triangle get
http://www.amazon.com/Visual-Patterns-Pascals-Triangle-Seymour/dp/0866513043
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Mar2011
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Nice. I used some of this information for a research project in math class, this is wonderful source.
Obrigado mjmd123. Na minha área há mais dois ou três projetos sobre o triângulo de Pascal. Recomendo o "Pascal Triangle for kids" como o mais indicado para alunos muito jovens.
this is (a) wonderful source.
epic. luv + fav
Thank you Jackjc
(view all replies)In my opinion, one of the most amazing and unusual properties of Pascal's Triangle is related to Trigonometry, Polynomials, Recurrence, and Differential Equations, all sorts of things from many different parts of math, and related in a simple way to pascal's triangle, once again! http://www.mathpages.com/home/kmath304.htm It is called Chebyshev Polynomials, they are equal to cos( n * acos(x) ) and also to polynomial function of x. It is one way to prove that Cos(pi/7) can't be constructed.
That's the point: aligators don't fly.
(view all replies)The link worked for me; but, when we are talking about deep maths, I must recognize that I'm flying very near the ground, as aligators use to do. Sorry about that.
(view all replies)why doesn't this link work? http://www.mathpages.com/home/kmath304.htm
Very good presentation.Nice songs
Thank you MathJP.
Oh, its n factorial over r factorial times n minus r factorial!
Yeah, thank you! I always feel puzzled with your math skills.
(view all replies)nice song! :D
Cool Yay. It would be nice to show all the properties that he is singing about as he sings them!
Thank you, Dr Super. Let's see what my mathematicien friend Icampeao thinks about.
(view all replies)