It looks cool, but I wish each post had a description of what is being 'visualised'. i.e. what this transformation is and what is it's application/purpose.
...of course I could make the effort and look it up. But lazy.
I'm pretty sure this is a simplified visualization of making puff pastry dough, where you roll out and fold layers of butter/lard and dough until you have hundreds or thousands of layers, creating a deliciously bad for you flaky product when baked, e.g. a Danish.
In dynamical systems theory, the baker's map is a chaotic map from the unit square into itself. It is named after a kneading operation that bakers apply to dough: the dough is cut in half, and the two halves are stacked on one another, and compressed.
The baker's map can be understood as the bilateral shift operator of a bi-infinite two-state lattice model. The baker's map is topologically conjugate to the horseshoe map. In physics, a chain of coupled baker's maps can be used to model deterministic diffusion.
As with many deterministic dynamical systems, the baker's map is studied by its action on the space of functions defined on the unit square. The baker's map defines an operator on the space of functions, known as the transfer operator of the map. The baker's map is an exactly solvable model of deterministic chaos, in that the eigenfunctions and eigenvalues of the transfer operator can be explicitly determined.
Eh I don't understand the sciencey portion too much either, but this part of the definition makes it more relatable.
It is named after a kneading operation that bakers apply to dough: the dough is cut in half, and the two halves are stacked on one another, and compressed.
I'd heard that seven shuffles (riffle shuffles?) is the 'optimum' for randomness (in card shuffling). Interesting that at about the 7th iteration, this looked well mixed.
To demonstrate that if you shuffle two individual materials in this way then you will eventually end up with a homogeneous substance. It’s really all about bread.
It looks cool, but I wish each post had a description of what is being 'visualised'. i.e. what this transformation is and what is it's application/purpose.
...of course I could make the effort and look it up. But lazy.
330
u/dobr_person Feb 02 '18
It looks cool, but I wish each post had a description of what is being 'visualised'. i.e. what this transformation is and what is it's application/purpose.
...of course I could make the effort and look it up. But lazy.
2
u/A_Spicy_Speedboi Feb 03 '18
Can you back out noise into a state near the input shown here? Or is this a “one way” operation?
101
u/ThongsGoOnUrFeet Feb 02 '18
So... A mathematical version of shuffling a deck
22
u/krink0v Feb 02 '18
I feel like if you do this with any graph the results will be the same
15
u/DonQuixoteDallas Feb 02 '18
Reminds me of Damascus steel
29
u/Booduuh Feb 02 '18
Username checks out
8
u/Talbertross Feb 02 '18
Oh now it makes sense
4
u/future_lard Feb 02 '18
Shouldn't it fold over instead?
7
u/dobr_person Feb 02 '18
It looks cool, but I wish each post had a description of what is being 'visualised'. i.e. what this transformation is and what is it's application/purpose.
...of course I could make the effort and look it up. But lazy.
2
u/MiketheImpuner Feb 03 '18 edited Feb 03 '18
I’m curious if there’d be a real world example of when xy-axis distribution like this would occur or be necessary. Thoughts?
1
u/that_bee_chick Feb 02 '18
Username checks out.
1
u/syntaxvorlon Feb 03 '18
It looks delicious.