collatz-cycle-visualization

Uses numpy and matplotlib for visualization of collatz cycle

The aim of this project is to enable visualizations of any cycle similar to collatz to maybe establish a new perspective on the original collatz sequence.

Input: rules for_even_ & odd and minimum & lower bound.
*( make sure that the sequence does not go to infinity )

Example graphs for difference rules

Rule1: Original 3n+1

Rule 2: 3n+1 extended to negative numbers

Rule 3: Even: 3n+1, odd: (0.5*n)+0.5

Rule 4: Even: 2n+1, odd: (0.5*n)+0.5

Rule 5: Even: -n/2 odd: -3*n+1

Rule 5: Even: n/2 odd: -3*n+1

Further improvements to make

• Add a method for detecting if an sequence goes to infinity so that the program can stop
• Extending the program to more domains and operations - For example: rational, complex numbers and using more than 2 mod statements
• Extend program to negative numbers
• Make an algorithm to find many collatz like sequences