The Modern Age

Had a bit of a breakdown yesterday.

Feeling okay now, but I’ve decided I should go to therapy. I’m NOT going all the way to New York for it, even though my brother continues to bug me about it, but I’ll try a doctor here. I’m nervous.

Drama in ƒ: ℤ₂ ⨯ ℤ₂ → {0,1}

hiremebecauseimsmart:

\dpi{300} \bg_white f: \mathbb{Z}_2 \times \mathbb{Z}_2 \to \{0,1\}

I don’t find numbers particularly interesting, in and of themselves. Mathematics’ folklore suggests that, even if you’re misled into thinking that, for example, 1729 is an uninteresting number, you may be wrong. Whatever. I’m just not a numbers person.

But you can combine numbers to get interesting things. When you put enough numbers together you get Toy Story. Beyond interesting: it was moving. All of the polygons and sound waves (1-D functions of time) are mathematical, and the movie was ultimately encoded as bits — so Toy Story is one long number.

Drama can be built up with much less. Consider the set {Jun, Kiko}. There is a function which maps pairs from the set to {0,1}: a two-place relation

  • ƒ(Jun, Kiko) = 1
  • ƒ(Kiko, Jun) = 0

{0,1} is isomorphic to {true, false} and the two-place relation’s name is “Love”. True, Jun loves Kiko. False, Kiko does not love Jun. 

See what I did there? ƒ(a,b)=1 && ƒ(b,a)=0 ——functor—→

  • Love(Jun, Kiko) = T
  • Love(Kiko, Jun) = F

The possibilities take the shape of the vierergruppe:

A love triangle isn’t far off. And now you have my attention if you want to talk about cohomology or something. Oh, the cohomology of a love triangle? The cohomology of unrequited love? Yeah. I could get interested in that.

This is why I read mathematics. Not because numbers fascinate me. Not because deduction is fun. Because with math you can think about sh_t in a totally new way.

(Source: isomorphismes, via proofmathisbeautiful)

My new math class

is great. Such a good distraction, and it feels GREAT to be working with people my own age again. Not that I didn’t enjoy working with my father…

Today is a beautiful day.

I’m happy, Hal is being amazing, and I actually had a real converation with Carter today that didn’t immediately go in the usual direction.

I start a new math class tonight, I am very excited.

proofmathisbeautiful:un:roomthily: Mesonic fabric  In MF BIOTHING explored in-between algorithmic states by trans-coding 3 different algorithms. Electro-Magnetic Field developed through Biothing’s custom written plug-in for Rhino was initially distributed in order to develop structural trajectories for the roof condition. Resonating pattern was imprinted into the ground creating emitters for the second algorithmic logic _ radial wave interference pattern that formed global geography of the field. Finally, class 4 Cellular Automata was used to re-process wave data by imprinting micro-articulation of the ground. Zooming in and out of this field revels drifts in the character of the pattern. This effect is accelerated in the behavior of the CA pattern which drifts between distinct characters of rigid geometrical states and more organic states. via Biothing this should be on Brian Fellow’s Safari Planet…that’s crazy! :O

proofmathisbeautiful:un:roomthily:

Mesonic fabric 

In MF BIOTHING explored in-between algorithmic states by trans-coding 3 different algorithms. Electro-Magnetic Field developed through Biothing’s custom written plug-in for Rhino was initially distributed in order to develop structural trajectories for the roof condition. Resonating pattern was imprinted into the ground creating emitters for the second algorithmic logic _ radial wave interference pattern that formed global geography of the field. Finally, class 4 Cellular Automata was used to re-process wave data by imprinting micro-articulation of the ground. Zooming in and out of this field revels drifts in the character of the pattern. This effect is accelerated in the behavior of the CA pattern which drifts between distinct characters of rigid geometrical states and more organic states.

via Biothing

this should be on Brian Fellow’s Safari Planet…that’s crazy!

:O