Math for Artists





Started out my math walk assignment by googling items from the list of "common algorithms." Good god, these concepts are foreign to me. One search led to another and before I knew it 3 hours had passed. I enjoyed the process and feel somewhat comfortable with the basic ideas behind,



Sorting Algorithms
Prime Diagrams
big O Notation
Divide and Conquer Algorithm
Data Structures
Randomized Algorithms
Best-Worst Case Analysis
Space-Time Tradeoffs
Conway's Game
Reaction-Diffusion Systems
The Travelling Salesman Problem
L-Systems
Genetic Search Algorithms
Flocking
The Boids Simulation

...trouble is, when I look at the actual computation behind each principle/algorithm, I have a bit of a panic. I would love to have my hand held thru a description of them.

I took notes by hand, because i think that this helps me...






Top 3 Algorithms

1) L-systems
2) Genetic Search Algorithms
3)Manning Criteria (Diagnostic Algorithm to diagnosis Manning Criteria 


Pi

Things I forgot about pi and something I never knew before:

-The area of a circle : A = (Pi)r2
-The volume of a cylinder: V =(Pi)r2h
-Among a collection of random whole numbers, the probability that any two numbers have no common factor — that they are "relatively prime" — is equal to 6/π2

Resources I used:

1) Great visual description of the length:

http://www.piday.org/million/

2) Helpful blog


http://www.livescience.com/34132-what-makes-pi-special.html


3) It might be time to watch  http://www.youtube.com/watch?v=oQ1sZSCz47w, again.



Three questions about Pi. Esoteric or practical.

How does it play into 


1) Heisenberg's uncertainty principle?? What is Heisenberg's Principle?
-An article made mention that Pi plays a role in equation that defines how precisely we can know the universe

2) The average meandering ratio of rivers approaches


3) What are the limitations of math? Are there limitations to math? Is it just a tool and language for natural phenomena? As in linguistics what can it do for us and where does it lead us astray?