giatrakosg/chaos

:snowflake:Practice in graphics using games from Chaos Theory

chaos's Issues

Bad input

Check data user input for mistakes

Calibrate

Calibrate the default points of the triangle

Choose background

Let user change the background

Gather Observations

gather all observations and results

Error in pentagon for large offsets

There is an error when using large offsets for the pentagon shape

Wrong Results

The results for r in the square are wrong

Check Random Shapes

Check if random shape that is generated is real shape

Create point initialization function

Create function that initializes random points

Fisher Yates Shuffle

Expand for the fisher yates shuffle algorithm

Collatz

Create chaos game for collatz conjecture [https://en.wikipedia.org/wiki/Collatz_conjecture#Statement_of_the_problem]

Idea :
Start with number x and place pixel at right side of screen
select angle θ
start with a
if odd move to the right by a and angle θ
set a = a / n
set x = 3*x + 1
repeat
if even move to the right by a and angle θ
Set a = a / n
set x = x / 2
repeat

Background bug

When choosing a white background the text cannot be seen

use fill shape option

Higher Dimensions.

1)What happens when we try other regular n- Polygons? Do interesting shapes still come up?
2) Is there a number n bigger than 3 such that not forcing a steady direction still leads to interesting shapes?
3)Can we extend our methods for regular n - Polygons using an inscribed circle?

Pentagon Random Start

Create random start function for the pentagon

Choose size of shape

Add Images Folder

Add folder containing the images used in the observations.md file

R parameter

Expand the problem so that it moves to r fraction

Get Trace divide by zero

Check if dividing by zero

Test if Triangle

Perform tests to see if the randomly produced points form a triangle