Pedro the #Math Cat 🐈
#GingerCatAppreciationDay
#cats #CatsOfMastodon

Alt...

Pedro demands your immediate appreciation

did you know that Fibonacci numbers (where each number is the sum of the previous two) can convert miles to kilometres?

1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...

pick any number in the sequence as your miles, and the next number in the sequence approximates the number of kilometres

this works because the ratio of consecutive Fibonacci numbers converges to 1.6180334 (the golden ratio φ), while the number of kilometres in a mile is 1.609344

to see how close this is, consider the approximation compared to the actual kilometres

miles km actual km

1 2 1.61
2 3 3.22
3 5 4.83
5 8 8.05
8 13 12.87
13 21 20.92
21 34 33.79
34 55 54.71
55 89 88.50
89 144 143.20

#math

New #video

#math #algebra

https://youtu.be/wTbVbUH876g

New #video

#math #algebra

https://youtu.be/oSnG1KBN_js?si=NTUo8xvQ3M2CUJRW

Court watch a few weeks ago. I saw this math atrocity:

Judge - "Alice, you say the number is 200"
Judge - "Bob, you say the number is 250"
Judge - "So why don't we take the middle, 240 and figure out the details later"

The judge graveled, and signed "240" into a order as the mid point between 200 and 250 🥴

#CourtWatch #JudicialWatch #Math

New #preprint

#math #physics #cognition #machinelearning

https://www.academia.edu/171923768/Everything_is_Contextual_Contextuality_Beyond_Quantum

\[“(1+0)^{1/0}=𝑒” \]

(Lewis Carroll, “Pillow Problems”. p. 67)

https://www.gutenberg.org/cache/epub/79080/pg79080-images.html

#lewisCarroll #math

Alt...

Screencap showing that I did not misquote Carroll

“Rob you’re a computer scientist, so you’re good at math, right?”

“You’d think so, wouldn’t you.”

#math

What is your answer to 18÷3x2=?

Boosts appreciated

No, this isn't a trick question. An oft-cited blog has made the claim that "most humans" will get the wrong answer, which I think is a completely ridiculous claim, so I want hard data on the split. Unlike some other polls I've run, I want #teachers and #students to answer also, since you all come under "most humans" :-)

#Mathematics #Maths #Math #arithmetic #OrderOfOperations #poll #education #school

Rhizome Function Anagram Random Generator

preprint | https://zenodo.org/records/21551292

doi | https://orcid.org/0009-0009-5144-3278

Herein are described principles and a scheme of random number generation styled as, pangrandomonium, or ‘pangrand’. Pangrand is a anagrammatic random number generator that uses rhizome functions as chaotic indexing and shuffling instructions to reorder and sum perfect pangrams. Brief descriptions are given for the principles of pangram summing and rhizome indexing functions, Source code of the random number generator is included herewith. The source code is attached to the PDF file.

Sections:

1. Pangrams (Holoalphabetic arrays) ;
2. Rhizome Functions ;
3. Rhizome Hardness Problems ;
4. Random Generator Methods ;
5. Errata ;
6. Source Code.

#Preprints #Random #Cryptography #RNG #Pangrams #Anagrams #Pascal #Papers #RhizomeFunction #AcademicMastodon #Cryptology #Math #NumberTheory #Papers #Academia #ComputerScience #CompSci #AcademicChatter #OpenScience

pattern that give you no place to stand.
#art #fashion #textile #fabric #code #math #clown

Here's something for the more mathematically inclined:

https://adam-gladstone.pixels.com/featured/intricate-fractal-design-adam-gladstone.html

#mathematics #math #fractal #mandelbrot #mandelbrotset #ayeareforart #buyintoart #fineartmamerica #wallart #homedecor

Mathematicians put AI to work on Fermat’s last theorem.

From @NewScientist (registration may be required): https://flip.it/_V6E9W

#Mathematics #Math #AI

The hardest thing in Dylan or any 🫰quote "normal" unquote🫰lang, is writing algebraic math when you're used to RPN or sexpr. Why am I putting one argument before the operator, the other randomly after, and having to figure out which ones happen first? Do people DO MATH like this‽

In theory I could just use +(a, b) (or does it need \+(a, b)? I'd try that in REPL but there isn't one).

#DylanLang #lisp #scheme #programming #math

@screwlisp @mdhughes

The new version.

Without warnings?

Also with a q to quit.

Code in reply.

#lisp #code #game #math

@mdhughes @screwlisp

Not sure what the lines of code do but I know how the game is played.

You take a deck of cards and remove the royals. This gives you Ace through 10 with Ace = 1.

You deal two cards. If someone can make an equation they slap the table. They say their equation and everyone agrees or disagrees.

If no one can make an equation you deal another card.

part1

#games #math #MathSlap

i've always been baffled by various paper size symbols, like A0 and A6, assuming they were some arbitrary system like "hands" for horse measurement

it turns out that A0-A8 are all just square roots of 2! to go from A0 to A1, you cut the A0 paper in half. to go from A1 to A2, you cut it in half.

if you're a programmer or a gamer, you've (knowingly or unknowingly) used this mathematical function in binary search partition (bsp) trees to narrow down which polygons to render in a room. e.g. Wolf3d and Doom used bsp trees.

https://en.wikipedia.org/wiki/Paper_size

while i'm here, if you love arbitrary math insanity, enjoy horse hands:
https://en.wikipedia.org/wiki/Hand_(unit)

#math #gamedev

Alt...

A diagram showing the A paper size algorithm. A0 is the entire sheet of paper. A1 is A0 bisected horizontally. A2 is A1 bisected vertically, and so on, all the way down to the smallest size: A8.

@screwlisp

part 1

I have just specced a lisp game in my mind. Should be easy enough for me to write.

The game is MathSlap, invented by @Carl to be played with a deck of playing cards with no royals. (A-10)

Two numbers are placed face up. If you can make an equation from these numbers using any math symbols but no more numbers you slap the table. Then you say your equation and it's evaluated for correctness. If no one can make an equation another card is dealt.

#math #lisp #games

Pythagorean Theorem

a² + b² = c²

#geometry #algebra #math

@geethap2007 #Lyrics from #MorningStar - #song by #Geetha:

"#Triangles compressing me once
into #angles, my roundness #squared
#Ray meets #Pi, shadows #death ensnared

[Verse]
I squeeze hard repressing contours
On #love’s path, we oft take #detours
The walk on #circumference lasts
Greater #journey into the vasts

[Chorus]
Morning star, it buds within me
Rising light carries me so free
Into meadows of morrows sighs
Where deep and clean, forgiveness lies

#Math #Life
See > https://geethabalvannanathan.com

After all this time looking for it!

#humor #math #foundontheinternet #nerdhumor

Alt...

A beach by a lake in the mountains. Blue sky, trees, pretty water. In the foreground there are the remnants of a tree trunk on its side. Roots are exposed. There are two prominent branches at 90 degrees that have another 90 degree turn in each direction to meet back up in what appears to be a natural rectanglish shape. The text says, “I finally found it… the square root”.

To come up with that kind of math in 30 seconds is ridiculously good in my books.

https://www.youtube.com/watch?v=pfa3MHLLSWI

#Math #Mathematics #TV