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Sunday, October 5, 2025

A short note on the Median ratio property in Spherical Geometry

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We know that in a plane triangle, the median is divided by the centroid in the ratio $2:1$. In this post, we address the question of how thi...
Monday, September 22, 2025

A nice analogy in Spherical Geometry with a nicer application to Ceva

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It is well known that the Law of sines has a spherical counterpart . But from the Wiki article, we can infer something even better. That is...
Saturday, September 13, 2025

Sol LeWitt and his Incomplete Cubes

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 The recent video on 3Blue1Brown is something I enjoyed after a long time in the channel. While any post, article or video about Burnside...

Drain times with Toricelli's law

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 It's easy to calculate the drain time of water in a cylindrical tank using Toricelli's law, $v=\sqrt{2gh}$. In fact, using a simpl...
Friday, June 20, 2025

Visual proof an integer sided $120^\circ$ triangle

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  Inspired by  Proof Without Words: Integer Right Triangle Hypotenuses Without Pythagoras . Until then Yours Aye Me
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...
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Yours Aye, Me
Aesthete, Atheist
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