#mathemagics

[void-magician]

so i got bored and decided to chase the reasoning behind why the arc length integral formula is what it is,

might've been driven by the subconscious drive to have an explanation ready and on deck when i inevitably have to teach it

[void-magician]

it's 9.

the varied answers to this problem (as well as the fact that the answer 9 being the most voted one) are indicative of a fundamental failing of mathematics education amongst the masses - the failure of the school system to teach number sense.

Put simply, so much emphasis and importance is placed on following the order of operations Rigidly and Formulaically that the actual functions being undergone by the numbers are not actually understood. too many people understand multiplication and division as two different operations when they are... not. division by any number is simply multiplication by its reciprocal, the same way that subtracting a number is adding its negative. but because we don't teach that, we end up with people thinking 6\2(1+2) = 6/6 = 1.

the numbers are malleable. they like to move according to a certain set of core principles. i wish we taught the principles.

[michaelrotonal]

pick a number from 1 to 5

i predict that the sum of its fifth power, 85 times its cube, and 274 times it

is equal to the sum of 15 times its fourth power, 225 times its square, and 120

[sleepyisnotagamer]

meanwhile, in castle darkmoor

Malistaire, the Undying: CAN YOU FACE MY STARE?

Me: oh, you mean your mali-stare???

Mathemagical: that's so bad

[knotty-et-al]

Baking the ingredients for the shape soup

The ingredients for this very delicious soup need to be baked before they can be used for cooking this well-made yummy shape soup.

So, I'm happy to announce I'm in the midst of digitalizing (scanning and adjusting/slightly editing png files) my isometric polyhedron drawings.

They will be transparent pngs with a hexagonal shape depicted like in the picture above.

One might use them as stickers or play around with pngs like a true tumblrina would.

(I might also make a transparent png set without any hexagonal white background.)

[sleepyowlwrites]

Me: my brain keeps skipping and I miss stuff

Mathemagical: oh she is straight up not having a good time

Me: I'm not having a bad time, I'm just having a time that I don't know I'm having

[sleepyowlsleeps]

Me: *says anything*

Mathemagical: this is a good time for an infomercial

[vaathnaos]

*me opening krita to test out this psychedelic divisive modulo*

It’s on the brush or layer filters (like normal/burn/color dodge etc…) it’s under the modulo tab.

I think it works when you have a lot of strokes of diferent hues under the layer withe the filter.

[angelwiththeblue-box]

🎨 for your 1k celebration, could you do me a lil sketch of cassandra cillian? No special requests otherwise, do it however you want! I just love her a lot :) Congratulations again on 1k followers!!! I think the world of you!!! Sometimes the internet is such a beautiful place :)

bestie ur too sweet tysm 🥺💜

[malecaptions]

[sleepyisnotagamer]

been taking notes from jeffree star

[void-magician]

Ahem hello. what is the hairy ball theorem actually used for? As in, is it useful for some further thing, or is it just kind of a funny proof that exists? I’m not sure how to phrase this but let me know what uve got. Also if u could make any one new unit of high school math what would you wanna teach the teens and why?

so the hairy ball theorem, like most silly-sounding math things, an abstraction of things we've already observed. in this case, the simplest thing that the hairy ball theorem tells us is that on any spinning spherical object, there will always be a point on it where some quantity subject to that spinning is zero. if we start spinning a ball, there are two points on the surface of that ball that have an instantaneous velocity of zero: the points that are on the axis of its rotation.

this kind of thing can then be expanded to looking at the propagation of electromagnetic waves in space - if a particular wavefront forms a sphere, there has to exist at least one point on that sphere where the electric and magnetic field magnitudes are zero. there's also applications of it to meteorology (if all the wind on the surface of the planet is idealized to the planet's surface, there has to be a cyclone somewhere) and computer graphics (that's why ray tracing took so long to develop, because perfect spheres reflect and scatter light in a weird way in a way that is described by the hairy ball theorem.)

if i could add one new unit of high school math, i would make it a unit on number systems and number sense in algebra 1. i think one of the biggest reasons students feel like they get left behind in algebra and further courses is because they are taught that numbers are hard, immutable things, rather than what they are, which is mutable, malleable, and able to be split in infinitely many ways. that cascades down into not truly fathoming what the equality principle of any given operation is, and thus leads to an incomplete and unintuitive understanding of what algebra really is.

[sleepyisnotagamer]

meanwhile, in three points

Me: nooo, BELLOQ! Mathemagical: cheats? no, it's cheatless Belloq Me: I still hate his guts Mathemagical: rizzless Belloq Me: no razzle dazzle

[sleepyowlwrites]

mathemagical: you can rotate your own cow in your own head. is that on tumblr? me: it will be now

[idhren]

What One Fool Can Do, Another Can

Y’ever read something and have understanding that has eluded you interminably suddenly stop, curl up, and snuggle neatly into a fold in your brain because a new way way opened to it?

[sleepyowlsleeps]

"I wish I could go back and experience this for the first time" or you could be Mathemagical and only experience things for the first time