mcpenguin/linear-collatz

A website used to visualize the "Linear Collatz" sequences described in the University of Waterloo Pure Math Club's Problem of the Week 4.

Linear Collatz

The following code is a way to visualize "Linear Collatz" functions using the react-graph-vis React library, as described in the University of Waterloo's Pure Math Club Problem 4.

Problem Description

A linear Collatzian rule is a piecewise linear function over the natural numbers that looks like something like this:

• kn -> n
• kn + 1 -> a_1(kn + 1) + b_1
• kn + 2 -> a_2(kn + 2) + b_2
  
  ...