Tony Berkeley @BerkeleyMath
Former electrical engineer and math teacher. Joined December 2013-
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Tony Berkeley retweeted
Here's a curious integral
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Tony Berkeley retweeted
A rather surprising way to find, geometrically(😳!) the equivalent resistance of two parallel resistors. As a bonus result the geometric analogy also shows how the electric current splits off in the two branches 🤔.
Tony Berkeley retweeted
Proof that 22/7 is greater than pi.
Tony Berkeley retweeted
Smart gardening hacks to save your time & money via 5-minutes-crafts
Tony Berkeley retweeted
Fibonacci Numbers via Matrix Multiplication
Tony Berkeley retweeted
The Rubik's Cube - one of the world's best selling toys - is a 3-D puzzle that was invented by Hungarian professor of architecture Ernő Rubik in 1974. There are 43,252,003,274,489,856,000 possible arrangements of the cube!
Tony Berkeley retweeted
Here's something that seems too good to be true, but is actually true! This identity is called the sophomore's dream. It was discovered 325 years ago by Johann Bernoulli.
Tony Berkeley retweeted
I encountered an interesting math puzzle today and had to dust off some math I hadn’t used in a while to solve it. I was hoping to make a string-art cardioid like this one. I did it by making 59 equally-spaced cuts in the cardboard, numbering them 0 to 58, and winding 1/15
Tony Berkeley retweeted
A little question for you about complex numbers, interpreted geometrically.
Tony Berkeley retweeted
For any prime number p ≥ 5 , p²-1 is a multiple of 24.
Tony Berkeley retweeted
The 'infinite gift' is a peculiar object where the side of the n-th box is 1/√n. As n→+∞, the gift has infinite surface area and length but finite volume. This GeoGebra simulation by Daniel Mentrard also shows that the envelope is Gabriel's Horn: buff.ly/38ASghq
Tony Berkeley retweeted
Famous one-line proof.
Tony Berkeley retweeted
it was tricky to develop a technique for drawing Julia sets with a plotter. The key idea was to start with a regular spiral, and repeatedly twist and translate it, as I show in this animation:
it was tricky to develop a technique for drawing Julia sets with a plotter. The key idea was to start with a regular spiral, and repeatedly twist and translate it, as I show in this animation:
Tony Berkeley retweeted
An integral trifecta; pi, e, and i in a single integral.
Tony Berkeley retweeted
The water feature in the new LaGuardia terminal B is mesmerizing
Tony Berkeley retweeted
"Interactive Differential Equations" = applets for learning about differential equations and related parts of math. Very intuitive and easy to use and beautifully designed by Hubert Hohn, an artist who took my chaos course in the 1990s. media.pearsoncmg.com/aw/ide/idefile…
Tony Berkeley retweeted
Here's an interesting limit
Tony Berkeley retweeted
Tony Berkeley retweeted
On paper, these two equations are nearly identical, but behind the scenes, one has a much more complex underlying structure than the other. quantamagazine.org/how-galois-gro…
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