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Results tagged with recreational-mathematics
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user 5371
Applications of mathematics for the design and analysis of games and puzzles
49
votes
4
answers
12k
views
Volumes of n-balls: what is so special about n=5?
I am reposting this question from math.stackexchange where it has not yet generated an answer I had been looking for.
The volume of an $n$-dimensional ball of radius $R$ is given by the classical f …
- 22.3k
29
votes
Accepted
Parabolic envelope of fireworks
E. Torricelli, who was the last Galileo's secretary, suggested a purely geometrical method to find the envelope in his De motu Proiectorum. He also coined the term `parabola of safety'. Apparently i …
- 22.3k
22
votes
Nontrivial question about Fibonacci numbers?
Two formulas relating $\pi$ and the Fibonacci sequence.
$$\pi=\lim\limits_{n\to\infty}\sqrt{\frac{6\cdot \ln (F_1\cdot F_2\dots F_n)}{\ln(\mbox{lcm}(F_1,\dots,F_n))}},\qquad\qquad\qquad\qquad(1)$$
wh …
17
votes
Accepted
Surface equivalent of catenary curve
A model equation for an inextensible, flexible, heavy surface in a gravitational field was deduced by Poisson Lagrange and later the problem was also studied by Poisson (see the references in the link …
- 22.3k