The Collatz Conjecture seems to be just an integer, odd and even number problem for the general public.
However, it is not a simple integer problem but an issue involving irrational numbers (logarithms). Although it is a logarithm, it is only a rudimentary calculation, so if you have a scientific calculator, you can solve it. Solving with the logarithm, you will see that it is a well-controlled phenomenon.
Of the three volumes, Volume 1 illustrates the process from 27 to 1. As shown in the figure on the cover page, when the linkage of integers is replaced with a figure, the west-coast line is almost a straight line, and the east-coast line changes in a complex manner. Any linkage starting from any integer is observed as a similar phenomenon.
In this book, let's avoid using the notation system, draw a diagram on the layer, arrange multiple layers and finish it into a large diagram.
What is integer linkage involving irrational numbers? Why don't you step into the mysterious world?