mathematical drawings

Dimensions of a Broken Universe
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This series, started in 2014, tries to find connections between physics, math, cosmology and introspection. The title was chosen carefully for it should demonstrate the content of this collection.

It theorizes dimensions, often seen in tesseracts or tesseract nets, and even the mind plays a huge role, more specifically the broken and paradox mind.

In my studies I often found broad connections between how my mind works and how the cosmos behaves. It’s a paradox-seeming behaviour like the contradictory two pillars of modern physics; The war between probabilistic and deterministic views, or more clearly; Quantum Mechanics versus General Relativity!

This fight is excerted in my mind too, it’s like phase transitions between order and chaos, order that arises out of chaos in a most wonderful manner.

This phenomenon can not only be seen in in how my thoughts behave, but in many other examples of nature, in physics, chemistry, biology and many other sciences too.

In the end it underlies the principle of synergetics, the study of interaction which shapes a beautiful braid between holistic connections and reductionistic details, between generality and individuality.

This series will try to connect mathematical thinking with artistic creativity in a way that’s illustrated in utterly surreal pieces.

Paradoxity may appear and disappear in the dimensions of a broken universe.

Welcome to ordered chaos,
and let the darkness show the light!

© Dywiann Xyara
2014 - 2017

Hiya :D

Thanks for the great question! I could talk about doodling all day, because DOODLING IS AMAZING AS HECK COME INTO MY WORLD!1!!

(You’ll never get back)


Dramatic Backstory:

I was 12 years old, I’d just got Nintendogs and was bored in Maths class, so I did what any kid would do: I turned my dogs into my Maths companions. 
It started out harmless enough - a comment here, a backstory there, but soon, they straight up narrated my class:

In case you don’t speak German, Butch (my pug) challenges Flocke (my sheltie) to revise the decimal numbers and when she makes a mistake, she comments “Well, I guess I’m a bit rusty! But can you do this?”. To which Butch cockily replies “Of course!”

…yeah, needless to say I couldn’t keep up this level of worldbuilding for long. 

So what does work?

Well, here are some more recent examples:
(I should probably mention that I aced all the tests for which I doodled below. Just, you know, as an incentive to become obsessive like me)

1) Visualizing concepts

Linguistics:

Structure of a tone unit

Order of adjectives

Maths:

Comparing normal distribution and standard normal distribution

Laplace law of probability (if it’ll rain three times this week and a week has seven days, the probability that it’ll rain today is 3/7 and the probability that it won’t rain today is 4/7) 

Binomial distribution / Bernoulli process
(a Bernoulli process can only result in two values: 0 or 1 (so “Ja/Yes” or “Nein/No” and I wrote Bernoulli as Bär-Nulli which means Bär (”Bear”)- Nulli (”Zero-y”), so it’s literally a bear with a zero on its head that makes you choose. It’s …kind of lost in translation, I guess xD)

Physics:

If there is no resistance, all objects free fall at the same rate of acceleration, regardless of their weight

Conductors 
(in conductors, electrons can move around relatively freelly - since they are repelled by other electrons, they spread out as far away from each other as possible)

Insulators
(in insulators, electrons are stuck in place and won’t budge unless you make them)

Induction


Philosophy

Dialectics
(progress happens by first putting up a thesis (”yes” = “Ja”), then putting up an antithesis which negates it (”no” = “Nein”) and then melting both theories into the synthesis (”yeno” = “Jein”). The synthesis can either remain a “negatio” (a) the thesis is dead), be a “conservatio” (b) the thesis is conserved) or become an “elevatio” © the thesis is brought to the next level)


2) Beautify/Pimp your notes or just let your creativity run wild 

(this keeps you alert when you’re about to become bored)

Baskets!

Cookies!

Pythagoras!

Crowns!

Fluids!

UNIDRAGONS!

MINIONS WHEN THEY WERE STILL COOL!

REALLY BAD GERMAN PUNS!

I …UH… A PALM TREE WITH WITH GLASSES… I GUESS!

NAMING YOUR MATHS EXERCISES BECAUSE THAT WAY IT’S MORE FUN TO SOLVE THEM

Heeeeeeeeermione. 


So, as you could probably tell, you don’t need to be a great artist to be a great doodler (but you will inevitably become better^^). 
I hope I could inspire you a little bit! The most important thing really is to draw something that makes sense to you. 

I hope you’ll have a great day and will become a great doodler!

(Bonus round: Horrible anime personifications of governmental systems

(It was a really boring class)

Keep reading

6

Vintage depiction of the patterns made by Spirograph, geometric drawing toy that produces mathematical roulette curves of the variety technically known as hypotrochoids and epitrochoids.

2

The Science Of Powerball

“What’s crazy — and unintuitive — is that as the Jackpot rises higher and higher, because more and more tickets get sold, the less valuable each ticket becomes! A ticket sold for a $1,500 million (or $1.5 billion) Jackpot, in fact, would only be worth about half as much as a ticket sold for a $500 million Jackpot, because you’d most likely have to split the Jackpot, even if you won, with between three and seven other people. And that’s probably what’s going to happen tonight.”

Later today, the richest lottery drawing in history — the $1.5 billion Powerball jackpot — will take place. While many outlets are encouraging people to purchase as many tickets as possible, it’s important to run through the mathematics and find out what your expected value is for each ticket. While a naive analysis shows that a jackpot in excess of about $245 million would lead to a break-even-or-better result, when you factor in taxes and split jackpots, you find that even for the $1.5 billion jackpot, your $2 ticket is only worth about $0.85.