Mastodawn

Solution to the Rectangle Problem:
#mathematics #geometry #trigonometry

🚀 Oh, look! Another riveting exploration of mathematical function #optimization that will surely redefine human existence. Apparently, the key to faster asin() was hiding in plain sight, and we bet it was right next to the cure for world hunger. 🙄 Let's all just take a moment to thank the gods of #trigonometry for this groundbreaking revelation. 🥳
https://16bpp.net/blog/post/even-faster-asin-was-staring-right-at-me/ #mathematics #innovation #tech #news #fun #HackerNews #ngated

Why doesn't #Mathematica simplify sinh(arccosh(x))? Because apparently, it takes a PhD in #Trigonometry, a magnifying glass, and a deep existential crisis to venture into that rabbit hole. 🤔🔍 Just when you thought it was all about cosines and sines, hyperbolics crash the party and demand their own dissertation. 📚🎉
https://www.johndcook.com/blog/2026/03/10/sinh-arccosh/ #Hyperbolic #Functions #MathProblems #ExistentialCrisis #HackerNews #ngated

When Mathematica seems to not to know how to simplify an expression, it may be doing the right thing, being more sophisticated than you expect.

John D. Cook | Applied Mathematics Consulting

Now the music is in its flow, so I have time to come back to drawing and generative arts.

Today, I picked sine and cosine and combined them with some alpha values. I have many results and I will post some others of this session, too.

But here's a circle with a sine wave as the radius and this looped while changing radius and phase.

It's all coded by myself. I used mathematical functions to create this piece of art. And no AI.

Avoiding Trigonometry (2013)

There are lots of #options, so following rule 927, I hereby propose my own #alternative.

v. 1
v. j1
v. -1
v. -j1
v. 2
v. j2
[...]

One problem is that minor releases require doing #trigonometry.

My friend said “I hate math puns,” and I agreed and said “I will cosine that.”

#OnThisDay Birth Anniversary of Italian #Physicist Alessandro Volta (1745) - credited as the inventor of the electric #Battery.

Birth Anniversary of Persian polymath Nasir al-Din al-Tusi (1201) - considered the creator of #Trigonometry as a mathematical discipline.

Today is #PlutoDay to commemorate the anniversary of the discovery of Pluto in 1930.

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