#hyperbolic — Public Fediverse posts

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

Oh wow, a blanket! 🤯🧵 Let’s take a mathematician's #poncho, reverse-engineer it, and call it groundbreaking. Because who doesn't want a #cozy #hyperbolic surface to #quest #for the meaning of life while counting pentagons? 🤪🔍
https://www.geometrygames.org/HyperbolicBlanket/index.html #blanket #mathematics #knowledge #HackerNews #ngated

A river shoreline after full sunrise. Composed in absolute Ultra Ultra Ultra Ultra wide, using a hyperbolic curve

#Photography #Android #AndroidPhotography #Nature #Sky #Skyline #Azul #hyperbole #hyperbolic

#Mathematics: The #logistic function, the #error function, and the #hyperbolic #tangent function all bear resemblance to one another, based on their respective definitions, which are to be represented in the following graph:

#Mathober #Mathober2023

The prompt for day 10 is 'Nowhere-Neat'. In mathematics, a nonwhere-neat tiling is one where no two tiles share an edge (they do meet at their edges, but one edge is always a different size or offset, so they don't share the entire edge).

As it turns out, the tiling I made for day 9 was already nowhere-neat (https://mathstodon.xyz/@OscarCunningham/111229992806552483). But yesterday I screwed up the colouring in the image. I tried to use three colours so no adjacent tiles have the same colour. But in fact this is impossible. You can see at the bottom of the image two white rectangles are next to each other.

So I corrected the colouring to use four colours, worked out how to colour the parts with negative x coordinate, and mapped the whole thing to the disc model of the hyperbolic plane.

#Math #Maths #Mathematics #Hyperbolic #HyperbolicGeometry #HyperbolicTilings #Fibonacci #GoldenRatio

#Mathober #Mathober2023

The prompt for day 9 is 'Hierarchy'. This reminded me of the binary tiling (https://en.wikipedia.org/wiki/Binary_tiling), where every square is arranged in a hierachy with a manager and two subordinates.

So I decided to figure out how to do the same thing with base ϕ (https://en.wikipedia.org/wiki/Golden_ratio_base) in place of binary.

#Math #Maths #Mathematics #Hyperbolic #HyperbolicGeometry #HyperbolicTilings #Fibonacci #GoldenRatio

That being said this #argument should, more #realistically, be does the #reflection of #mirrors #exist in #noneuclidean #geometry / #hyperbolic #space.

One ducky has left the team and found a new home, but a 5th has joined the skein, raft, waddle, after loops and loops of yarn code.

I can’t stop…

#hyperbolic #rubberduckdebugging #fiberart

I didn’t code today, instead I made a hyperbolic ducky (they are possibly the best listeners). #mathart #rubberduckdebugging #hyperbolic #crochet #fiberart #exponentialGrowth

Watch a Complete Reflector Telescope Machined from a Single Block of Glass - If this is the easy part of making a complete reflector telescope from a single pi... - https://hackaday.com/2022/04/21/watch-a-complete-reflector-telescope-machined-from-a-single-block-of-glass/ #schmidt-cassegrain #hyperbolic #machining #parabolic #reflector #optics #parts #glass #miror