21st Century Paradox
Every odd positive integer is connected to 1
The elements at the ‘horizon’ of the diagram are the irrational elements >1 in the extension field Q[sqrt5] encoded in binary in the Stern-Brocot tree. In that tree between every two integer values to the right of 1 there is a subtree isomorphic to the whole left side (the subtree between 0 and 1). As encoded…
A perfect binary Collatz tree
To compute the OPI values in the tree…Let q = the quotient of the lower OPI and r = its residue mod 3: These rules will generate the identical OPI not ≡ 0 mod 3 found in the graph generated by the original Collatz function and will map onto the odd positive integer results of…
(q,r)(p,x) Collatz
A Word document… Supporting Excel spreadsheet referenced in the document above…
Collatz Decoded 17-12-25
A presentation in Word… An analysis of the Collatz function in Excel…
Decoding Collatz
Have a look at the spreadsheet…it should be self explanatory. If not, then send a question.
Something went wrong. Please refresh the page and/or try again.
Follow My Blog
Get new content delivered directly to your inbox.
21st Century Paradox 