I write, therefore I am
Wednesday, March 12, 2025
Sphere on a freely spinning turntable
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Steve Mould somewhat recently published a video of a sphere rolling on a turntable rotating at constant rate and demonstrated that the pat...
Tuesday, January 14, 2025
An interesting Probability problem
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I recently came across an interesting problem concerning the probability of a random sphere lying inside an unit ball in stackexchange . Th...
Tuesday, December 31, 2024
Monkey Dog Problem - Grid Multiplication
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The following problems was recently posted in the IIM-Cal puzzle group (and eventually in my puzzle group as well): Can we fill an $n \times...
Saturday, November 30, 2024
Five ways of solving an Expected Value problem
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Let's say an Independent Aurelian is investigating butterflies on two types of traits, A and B. It is known that the probability of a...
A Geometric Optimisation problem
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Consider two circles $A(B)$ and $C(B)$ intersecting at $B$ and $D$, and a line passing through $D$. Let this line intersect the circle $A(B)...
Tuesday, September 3, 2024
An Odd Sum
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Someone in our puzzle group recently posted a question which asked to evaluate the following sum. $$\frac{1}{e^{\pi}+1}+\frac{3}{e^{3\pi}+1}...
Monday, July 1, 2024
Tautochronous tanks
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Toricelli's law states that the velocity of a discharge, say $v$, located at the bottom of a tank filled to a height $h$ is $v=\sqrt{2g...
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