...and also creative mathematicians:
nice storyline from "CTK Insights" on 3 young people who bucked the more mundane (and expected) answer on an IQ test to start with Pascal's Triangle and end up with "The Rascal Triangle":
http://tinyurl.com/29opquv
(a clear case of thinking-outside-the-triangle)
Showing posts with label Pascal's Triangle. Show all posts
Showing posts with label Pascal's Triangle. Show all posts
Thursday, December 2, 2010
Friday, November 5, 2010
A Look At Pascal's Triangle
In his book "Wonder of Numbers" Clifford Pickover names the following article as having the "all-time strangest title" of any published mathematical paper:
Granville, A. (1992) "Zaphod Beeblebox's brain and the fifty-ninth row of Pascal's Triangle" American Mathematical Monthly April, 99(4): 318-331.
The paper (pdf) can be found here:
http://www.gianpierobiancoli.it/wp-content/uploads/2009/10/beeb.pdf
And if you don't know who the character Zaphod Beeblebrox is (from "Hitchhiker's Guide to the Galaxy") you can check him out here:
http://en.wikipedia.org/wiki/Zaphod_Beeblebrox
In other matters, a quickie intro to the Riemann Hypothesis from Matt Parker here:
http://tinyurl.com/2arhu4r
[includes the mention that "All prime numbers (greater than five) squared are one more than a multiple of 24."]
And revisiting Mr. Fermat:
x^n + y^n = z^n ...NO solutions for n ≥ 3
x^n + y^n = z^(n-1) ...INFINITELY many solutions for all n ≥ 3
proof:
http://tinyurl.com/2d5qucy
Granville, A. (1992) "Zaphod Beeblebox's brain and the fifty-ninth row of Pascal's Triangle" American Mathematical Monthly April, 99(4): 318-331.
The paper (pdf) can be found here:
http://www.gianpierobiancoli.it/wp-content/uploads/2009/10/beeb.pdf
And if you don't know who the character Zaphod Beeblebrox is (from "Hitchhiker's Guide to the Galaxy") you can check him out here:
http://en.wikipedia.org/wiki/Zaphod_Beeblebrox
In other matters, a quickie intro to the Riemann Hypothesis from Matt Parker here:
http://tinyurl.com/2arhu4r
[includes the mention that "All prime numbers (greater than five) squared are one more than a multiple of 24."]
And revisiting Mr. Fermat:
x^n + y^n = z^n ...NO solutions for n ≥ 3
x^n + y^n = z^(n-1) ...INFINITELY many solutions for all n ≥ 3
proof:
http://tinyurl.com/2d5qucy
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