The visualizations in Trancit are based on a mathematical process with the ungainly name of "cellular automata." For convenience, they are usually called "CA". What makes CAs interesting are the often compelling large-scale and ever-changing images that emerge from very simple descriptions. Here's how it happens...
riefly, a CA exists in a grid-like space, like a chess board. Each square is called a "cell". Each cell has eight neighboring cells, usually referred to by the compass directions-- the cell above is called "North", the cell to the upper right is "Northwest", and so on. In Trancit, each pixel of the screen represent s a cell.
Along with space, a CA also has time. With each tick of a clock, each cell looks at some or all of its neighbors. Then the cell does a computation based on the state of its neighbors, and that computation defines the next state for the cell.
A Concrete Example

1. A cell can be in one of two states: "on" or "off".
2. If a cell is off, and it has three neighbors that are on, then the cell turns on during the next tick of the clock. Otherwise, the cell stays off.
   
3. If a cell is already on, it stays on if it has two or three neighbors on, otherwise the cell turns off.

Source: Trancit

But you responded to my whole poem with only

2024-08-09 13:26:12 by blackskimmmer

One number.
i was hoping for more than that.
what i mean is that the mathematical properties of networks possibly have more impact than the mechanics of what the networks are instantiated on.
for instance these topics. rough outline, i can elaborate on any one of them if you would like.
54) Kauffman's NK Boolean Networks
Phase transitions occur in various behaviors...want to relate this to how quantum mechanics gives us molecular orbitals like aromatic molecules.
51) Cellular Automata Robust Under Random Fluctuations
Find cell automata who's complex patterns are robust under random fluctuations. unlike Conway life, like chemistry
52) Cellular Automata With Random Input
53) Explore The Space Of 1 Dimensional Cellular Automata
...

You are now in DEEP philosophical waters, are

2024-07-08 12:17:35 by blackskimmmer

You saying that the peculiar body of mathematics we have now is a logical consequence of existence? i would say that what is arbitrary are the particular mathematical examples and pathways that we've managed to explore thus far.
for instance at one point we explored euclidean geometry, but DIDN'T explore noneuclidean geometries.
at one point we explored fractions but didn't explore i...cation? we might do this for pure fun, and thus far have no evidence of a 5 dimensional space in which our matrix multiplication is a rotation! is THAT game arbitrary or not?
what about Robinson's nonstandard analysis vs standard analysis, is the choice of which to play with arbitrary or not?
i think in this sense mathematics has an arbitrary component, which is not such a bad thing.

Anyone know what a dovetailer is? it's comp sci

2024-05-17 11:05:57 by blackskimmmer

In this review of wolframs pompous book, this guy claims the dovetailer is a simple program:
>On page 27 Wolfram explains "probably the single most surprising discovery I have ever made:" a simple program can produce output that seems irregular and complex. [of 1 dimensional cellular automata rule #30. rule 30 here:

]
>This has been known for six decades. Every com... 1- and 2-bit programs for one cycle. Then generate all 3-bit programs, and run each of the 1-, 2- and 3-bit programs for one cycle, and so on. In this way you can show that every program of any number of bits will
eventually be run for as many cycles as you specify.
sounds like more than 2 lines, 'eh?
some light shed wouuld be interesting, is it simpler than wolfram's rule 30?

FSMLabs Releases TimeKeeper 6.0 With New Support for Extended …  — SYS-CON Media
TimeKeeper is a trademark of FSMLabs Inc. FSMLabs is a registered trademark of Finite State Machine Labs Inc. Add to Digg Bookmark with del.icio.us Add to …

U.S. Patents Awarded to Inventors in Pennsylvania (May 31)  — Targeted News Service
The MLT-3 code is treated as a code generated by a finite-state machine using a trellis having state dependencies between the various states. A super trellis …

Revealed: How Lady Gaga helped Google keep malware off Androids  — Naked Security
A smartphone, however, is a finite state machine. Therefore it *could* actually be possible for a supercomputer to evaluate every possible state reachable from …

	Practical UML Statecharts in C/C++, Second Edition: Event-Driven Programming for Embedded Systems Book (Newnes)
	Crystal Finite State Machine Digital Music Track (ALTZMUSICA)
Synthesis of Finite State Machines:: Functional Optimization Book (Springer)

A range of Computing. Find this product from £52.69 now. A one-dimensional cyclic cellular automaton with n = 4, run for 300 steps from a random initial configuration. The cyclic cellular automaton is a cellular.

Related posts:

1. Death cellular automata
2. Theory of cellular automata
3. Bio cellular automata
4. Flash cellular automata