#floralfractals

[bibliophilea]

Ooh, I love the Gaussian integers! Gotta be one of my favorite rings! I had forgotten that about prime numbers in Z: that they're prime in Z[i] iff their remainder when divided by 4 is 3. That's a fun little proof, too!

I personally am a big fan of roots of unity - love that there are so many complex numbers out there where, when you multiply them to themselves enough, you get back to 1! And they all sit on the unit circle! And they act exactly like Q in R from 0 to 1 - and that means they're dense on the unit circle, but there's always something between any two roots of unity that's on the unit circle but isn't itself a root of unity! And because that something is on the unit circle, it stays on the unit circle when you multiply it to itself - but it never reaches 1. It just goes on forever and ever, filling in infinitely many (but not all of) the holes left by the roots of unity on the unit circle! So cool!

One thing about me is I infodump about math subjects on request

[bubbloquacious]

8. Least favorite notation you’ve ever seen?

12. Who actually invented calculus?

52. Do you have favorite math textbooks? If so, what are they?

57. What inspired you to do math?

:)))

From Real's Math Ask Meme.

8. Least favourite notation you’ve ever seen?

Writing a tensor product of bra-ket vectors as |1⟩|2⟩ instead of |1⟩⊗|2⟩, which was standard in the quantum information theory course I took (with @floralfractals :^)) a few years back. This makes an expression like ⟨1|⟨2||3⟩|4⟩ ambiguous! It evaluates to ⟨1|3⟩⟨2|4⟩ if you interpret the juxtaposition as a tensor product, and to ⟨1|4⟩⟨2|3⟩ if you intepret it as scalar multiplication.

10. Who actually invented calculus?

I did! Or I will have done, when I invent my time machine to travel back to the Islamic Golden Age to tell Al-Khwarizmi about category theory. Then they'll all see.

44. Do you have favourite math textbooks? If so, what are they?

I never stick with textbooks long enough for these to be like super well-founded recommendations, but I quite like Jonathan Gleason's Introduction to Analysis, Peter Johnstone's Stone Spaces, and Bochnak, Coste, & Roy's Real Algebraic Geometry.

49. What inspired you to do math?

So besides the fact that from a young age I was intrigued and engaged by puzzles and problem solving, it took quite some time before I realized I wanted to become a mathematician. Sometime during my fourth or fifth year of secondary school we covered logarithms, and that's when it all started to click for me. How addition, multiplication, exponentiation are just operations, and that they can have inverse operations, and that these are all examples of the exact same phenomenon. I started watching Vsauce and Numberphile and Vihart, and the rest is history.

[the-mortal-incorrects]

Hey guys, one of my dearests has made a fractals-blog and even if you know nothing about maths (like me), it still looks really really pretty. Cause it's just cute and cool flowers and shapes.

So you might wanna consider checking @floralfractals out and perhaps even following him :D cause he it is baby.

[mandaloriandy]

#not true numbers love to be square rooted!! #the quartic equation is like enrichment to them #number heaven is also student hell its a very efficient system (via @floralfractals)

this equation is NOT cute. numbers actually hate being under a square root symbol and it distresses them

[mossybunni]

Thank you @lake-lady for tagging me in this! I love things like this!

musicals or plays (I did stage crew all through high school/ran the sound booth for part of college; I love a good musical.)

winter or summer

honey and lemon or milk and sugar

unicorns or dragons

beaches or forests

fireworks or sparklers

road trip or camping trip

brunch or happy hour (I am a big advocate of breakfast foods for every meal of the day.)

Rome or Amsterdam

sushi or ramen (Cannot wait until I can take a trip to Pittsburgh again and hit up my favorite ramen bar.)

sun or moon

macarons or croissants

glitter or matte

aquariums or planetariums

coloring books or water color

fairy lights or candles

I tag @grapevineandseafoam, @slumberfae, @glittertomb, @teafoliis, @elf-fawn, @floralfractals, and @venustrawberries

[floralfractals]

im having class about sampling bias. tumblr pollmakers shivering in their shoes.

[beautifulklicks]

FloralFractals Series #278 by Ninja2401

[vacuously-true]

@mathsuggestions @tarilaran @kubleeka @mathhombre @seeking-knowledge @godelitonthemountain @tens-tensor-tensest @algebraic-dumbass @mathsbian @maths-screaming @greetings-inferiors @yanklbonkl @galois-groupie @ann-decart @thymelyarrival @insert-math-username @dodecalemma @identitylambda @floralfractals @yumantimatter @question-why-not @anonymous-leemur @green-mountain-goose @dexmathylphenidate @worlds-smallest-epsilon

I have historically posted my annual mathblr roll call in late April, but I think it makes more sense to do it at the beginning of the year so it's clear which post is current. Accordingly, I now call the

🧮 𝟚𝟘𝟚𝟝 𝕄𝔸𝕋ℍ𝔹𝕃ℝ ℝ𝕆𝕃𝕃 ℂ𝔸𝕃𝕃 🧮

Reblog/reply if you are a mathblr and/or mathblr adjacent. And tag the other (at least semi active) mathblrs & adjacents you know of!

"What counts as mathblr? Do I count?" If you want to! Math shitposters! Math academia aesthetic blogs! Math studyblrs! Math related gimmick blogs! Unthemed blogs owned by people who happen to be math fans! I want them all! I'm happy to see CS, stats, physics, and other math-adjacent folks too if they like hanging out with the math crowd!

Bonus: link to the LCM- Least Common Mathblr discord server. Come hang out!

https://discord.gg/q4nzuEqgFv

[the-uk-is-jk]

@floralfractals

[bubbloquacious]

@floralfractals

Lyapunov fractal

[positively-knotted]

Hang on - the exterior isn't a 3-ball, but that's different to the surface, which is what floralfractals was saying. The Alexander Horned Sphere is, by definition, an embedding of the sphere.

You're right that it's a nice pathological example, but it shows that non-smooth Jordan-Schönflies doesn't hold. It doesn't show "the restriction of an embedding of D³ to it's boundary need not be an embedding of S²", which seems to be what you're claiming.

Thinking about it some more and clearly the infinite pants thing is topologically a sphere, but only if you count the inside as well.

Because topolotical equivalence (homotopy equivalence) of a shape to a sphere means you can take any looping path through the shape and contract it to a point without ever having it exit the shape. And that's clearly possible since none of the arms of the pants thing are connected.

If you only consider the surface you'll definitely not get a sphere.

[vacuously-true]

@mathsuggestions @tarilaran @thatfunsizednerd @mathhombre @adjoint-law @counter-example @zero-is-natural @question-why-not @ann-decart @seeking-knowledge @qhd4 @maths-terms-identifier @dodecalemma @floralfractals @worlds-smallest-epsilon @uuuuuhhhhhhhhhhhhhhhhhh @necessary-disorder @kubleeka @insert-math-username @sunless-not-sinless @associahedron @isomorbism @math-is-just-tautology @generally-proven

It is April which means it is time for my approximately annual

mathblr roll call!

Reblog/reply if you are a mathblr and/or mathblr adjacent. And tag the other (at least semi active) mathblrs & adjacents you know of!

"What counts as mathblr? Do I count?" If you want to! Math shitposters! Math academia aesthetic blogs! Math studyblrs! Unthemed blogs owned by people who happen to be math fans! I want them all! I'm happy to see CS, stats, physics, and other math-adjacent folks too if they like hanging out with the math crowd!

And while we're at it, here is the link once again to the mathblr discord server (LCM- Least Common Mathblr). It's a good time and all are welcome :)

https://href.li/?https://discord.gg/JfRj3wxcwX

[bubbloquacious]

@floralfractals @p-locally @questioning-my-identity-element @ante--meridiem @model-theory @gaugevectormoron @twocubes

Let's get a new mathblr roll call going! There's an older version but it's got a decent number of inactive people on it so let's start fresh. Reblog and/or reply tagging yourself and any other good math accounts!

Math shitposters! Math academia aesthetic blogs! Math studyblrs! Unthemed blogs owned by people who happen to be math fans! CS, stats, physics and other math-adjacent dorks too if they like hanging out with the math crowd! I want them all!