#math stuff | Explore Tumblr Posts and Blogs

knotty-et-al · 7 months

Text

Visualization of the Rubik's cube

#permutation #permutations #groups #group theory #rubiks cube #rubikscube #math #mathematics #math visualization #visualization #knottys math #math stuff #mathy stuffy #cube #hexahedron #combinatorics

15K notes · View notes

abalidoth · 2 years

Text

Fun little math trick I find really helpful: the ratio of a mile to a kilometer is within 1% of the Golden Ratio. That means that if you have a good memory for Fibonacci numbers (1 2 3 5 8 13 21 34 55 89) you can convert pretty accurately by taking consecutive Fibonacci numbers.

For example, 89 kilometers is really close to 55 miles (55.3). Or, say you need to convert 26 miles to kilometers: 26 can be written as 21 plus 5, so taking the next Fibonacci number up gives 34 and 8, meaning it should be around 42 kilometers. Sure enough, it's 41.8 km!

#math stuff #tesserants

84K notes · View notes

chongoblog · 7 months

Note

hey Goofy Math Soviet, what is calculus?

legit, it wasn't necessary for graduation at my school so i never took the class

Basically, it deals with integrals and derivatives, which is tough to explain but I can try.

Remember in earlier math you learned about slope? You know, y=mx + b? If you don’t recall, a slope is basically how steep a line is. Now if you’re looking at a straight line, then it’s pretty easy to determine the slope. Just look at how steep the line in question is and boom. There ya go.

For example take this red line up here. Every time it moves to the right by 1, it moves up 2 and vice versa. So this line has a slope of 2. Simple, right?

But what if we have a line that isn’t as straightforward? Like this curvy boy down here

What’s the slope of this line? A little tougher because how steep the line is different depending on where you are on the line.

That’s where derivatives come in. A Derivative will tell you what the slope of a line is at a given point in time. For example, at the dead center of the graph, the curvy boy has a slope of zero (since it’s flat right there). Once it hits the first square to the right it’s already reached a slope of 2. And at the second square, it’s reached a slope of 4!

How do I know this? Well because I have played you! The red line we looked at earlier is actually a graph of the derivative for the curvy line! So you can use that one to determine how steep the curve is at any given point! So like at -2, the slope is -4, etc.

Integrals are simiar, but in reverse, where you take a look at a derivative and draw out what the original would look like.

I’m being super reductive right now for obvious reasons but thats the bread and butter of calculus. You can do some really really wacky things especially with integrals and as you get further into calculus you use detivatives and integrals to do some dark magic. It’s pretty neat.

Hope this helped!

#math stuff #long post #also most people learn by doing stuff like dy/dx first but #this is tumblr. im not gonna do all that mess #the visual example seems to help a lot #i know it helped me

161 notes · View notes

takinbreak · 8 months

Text

What’s the worst thing about limits?

• Is it always having to amplify by the conjugate to eliminate indeterminate forms? NO.

• Is it having to learn some limits by heart (especially for trig functions)? NO.

• Is it having to sometimes use L’Hôpital-Bernoulli’s rule over and over again? NO.

• Is it having to just write “lim” before each line? YES. FUCKING YES. WHY OH GOD WHY I HATE THE NOTATION.

The most infuriating part of it is that it’s just a notation and it could so easily be changed, BUT NO, we’re stuck with this shit.

#mathblr #mathematics #the amount of times i forgot the write it before a line-#rant #maths posting #math stuff

171 notes · View notes

art-of-mathematics · 1 year

Text

Today I went to the Technische Sammlungen Dresden with my friend, and it was very interesting!

Torus (mug) and genus-2 torus (Pretzel) (has a pretzel 2 or 3 holes? 3 actually??? )

Möbius strip:

#technische sammlungen #math #mathematics #dedekind-number #torus #mug #topology #mobius strip #mathy #mathpost #mathy stuffy #math stuff

162 notes · View notes

piggyrobloxandmore-yt · 2 years

Text

#hello puppets #meme #i hate math #math is evil #math #math stuff #math struggles #math is hard #riley ruckus

235 notes · View notes

chachaboom6834 · 8 months

Text

sad to see the prodigy pixel art go. The new characters look like they will steal your first born child

#prodigy #math stuff #I am serious #my mom called it Pokémon but math #I now believe her

6 notes · View notes

ponds-of-ink · 3 months

Text

The 2024 Springtrap VS. Scraptrap poll has officially closed! Thank you to everyone who voted. :D

Now, let’s get to the main announcement.

Springtrap has won with 81.1%! Even with 164 votes this time, he managed to only get more popular.

Meanwhile, Scraptrap is in second place with 8.5%. “See Results” follows close behind with 6.1% while “Other” is in dead last with only 4.3%.

If anyone’s curious about what this means in terms of exactly how many people voted (and how it compares to last year), stick around for the Below The Cut section.

—

So, the actual numbers.

It took a bit of calculating (and rounding up because of said calculations), but I’ve figured them out.

Rough Estimate of 2024 Poll Results (in Voter Numbers)

Springtrap - 133

Scraptrap - 14

Other - 7

See Results - 10

And, for comparison purposes, here’s the results from last year.

Rough Estimate of 2023 Poll Results (In Voter Numbers)

Springtrap - 502

Scraptrap - 18

Other - 26

Neither. Ew. - 117

Which means, despite the percentages being higher in 2024, the votes are lower than 2023. All across the board, even.

…At least Scraptrap beat out Other and Neither/See Results this year…?

#scraptrap #springtrap #character polls #final results #math stuff #fnaf fandom

2 notes · View notes

sun-ray394 · 1 year

Text

Maths homework is the bane of my existence 😭😭

#school #homeworkslave #math stuff

7 notes · View notes

greentrickster · 1 year

Text

Presenting a math fact that is true but feels like it should be wrong: 105 is perfectly divisible by 3. This is accurate, but my brain rebels against the idea of something ending in 5 doing this.

(It divides into 35, btw, 35 x 3 = 105)

(Math is annoying.)

(Necessary, but annoying.)

#my thoughts #math stuff

8 notes · View notes

knotty-et-al · 6 months

Text

Polytope info card of the Snub Cube

Today's shape was the archimedian solid "Snub cube".

The snub cube has 38 faces in total - 6 square faces and 32 triangular faces.

It has 60 edges and 24 vertices.

Each vertex is met by 4 triangle faces and 1 square face.

A snub cube is an alteration of a truncated cuboctahedron.

The drawing:

For the isometric projection drawing I started with a truncated cuboctahedron, and continued to alter the truncated cuboctahedron's octagonal faces into square faces.

36 notes · View notes

abalidoth · 1 year

Text

This may be the single most badass lemma I have ever seen.

#aperiodic monotile #the new one! the chiral one!#math stuff

336 notes · View notes

bees-in-the-machine · 11 months

Text

Thank goodness for OEIS.

I looked up 2,3,6,11,14,15,18 after hours of painstaking circle inversions to determine what circle sizes fit together if you start with a circle of radius 1 with 2 circles radius 1/2 packed tightly inside.

Weirded out and intrigued by how all the new circles all had 1/z radius where z is an integer. And typing in the smallest 7 values for z into OEIS delivered me the name of this 2200 year old problem first analyzed by some Apollonius of Perga. It's called an Appollonian Circle Packing.

And minutes after that I had found a formula from Rene Decartes of all people that greatly simplifies the problem of finding the sizes of new circles in the packing. (a+b+c+d)²=2(a²+b²+c²+d²)

Which if you are looking for an unknown value for d solves quadratically as: d=(a+b+c)∓2√(ab+bc+ca)

And then starting from -1,2,2 and iteratively generating new circles and then taking a set of 4 and branching off into new options where you eliminate one circle and generate the other possibility, you can get all the sizes of circles in an Appollonian Circle Packing.

I've seen somewhere that there's a version of the formula with complex numbers that allows you to calculate the locations of the circles as well, and with that I can render it.

Who knows. Might try to do something for SOME this year.

#text post #math stuff #SOME

4 notes · View notes

takinbreak · 8 months

Text

just discovered the site “underground mathematics”, and only now i feel like ive entered the dark web of maths. spooky.

talking about web, i cant forget to mention the fact that the whole site and mathematics is organised along TUBE LINES like the LONDON UNDERGROUND !! now if that isn’t a graph theory reference i dont know what is!

#mathblr #mathematics #maths posting #i fucking love math #math stuff

95 notes · View notes

art-of-mathematics · 1 year

Text

That stim toy is also a 'calculation rag' for some binary number stuff...

Everything can be used as a calculator...

... plus, this 'calculator rag' feels nice!

- - -- --- -----

... You can even turn it around and have a kind of invert thing.

hmm.. I wonder what sort of useless things I come up with as I add some transformation concepts in this calculator rag thingy.

----- --- -- - -

This stim toy might be a nice tool for explaining some binary number system stuff and arithmetics to people/children in a more playful, interactive and enjoyable way.

228 notes · View notes

gemini-sensei · 1 year

Text

Doing that project I don't want to do and my professor makes all the projects scenario based so that they're more exciting and fun. Well, if I have to build a fake life for myself, I'm going to have fun with it and put down that my partner's name is Eli and he'll be a computer programmer (sadly because I don't think I can slip by with making him a "martial arts instructor" and not (1) be fucked in this realistic fake scenario and (2) be too on the nose about what the fuck I'm doing).

I didn't want to fucking do this project because of this whole "look into the future" aspect it has to it. I hate that shit. Always have, probably always will. but anyway...

So that's what I'm doing rn!

#gemini shares #math stuff #math project #ugh #trying to make it fun

3 notes · View notes