Calculate a Two-Dimensional Primitive Root Diffuser
This calculator is based on the patent for 2D primitive root diffusers (US patent #5401921 from March 28, 1995) by Peter D´Antonio and John Konnert of RPG Systems.
It is inspired by the existing, great calculator, which is, while being very useful and working properly, not really helping you to find the right coprime pair and primitive roots. These have to be determined manually, involving lots of math.
The approach of this calculator is to have instant results after each value change, besides doing all necessary math. Possible coprime pairs are proposed for a given range of columns/rows, and primitive roots can simply be chosen from a list.
After any value change, all data on the page is updated instantly (after hitting return or leaving the input field), so you can just "play around" with the values.
The calculator is completely written in JavaScript. It runs on your local machine in the browser, to provide fast response times. However, be careful to enter unrealistically high values, this can easily hang up your browser.
The 3d visualization is done using the lightweight JavaScript 3d rendering framework Phoria.js (Version 0.9.16).
If you find any bugs or have feature requests, please mail to tom-vibrant(at)gmx.de.
UPDATE 01/2022: With the new link below named 'Save 3D Model as STL File' you can now export the current model to be processed by most 3D programs.
The data is saved as ASCII STL file, whose dimension unit is cm (Centimeters).
NOTE: For larger models, this could take a while. Don't stop the script, this is normal as larger STL models need much memory and disk space.
IMPORTANT: This has been requested by several users who seem to like this ad-free (!) calculator and use it regularly, so please don't forget donating! Until now, sadly no one ever did!
(until 17.1.2022) I am providing this on a completely non-profit and free basis and even try to fulfill requirements as far as possible, but i can only continue this effort if there is at least a bit of feedback in that regard. Just hit the "Donate" button to be directed to Paypal, thanks a lot and have fun :)
UPDATE 02/2022: Fixed a bug which was hiding valid coprime pairs. Thanks Lauri ;)
UPDATE 01/2023: Updated the STL exporter to be compatible also with Sketchup and some other tools which did not like the format generated. The problem was that the generator created multiple solids, while some apps only read the first one, and do not like any line breaks. The new format should be used exclusively, however, if you have problems with the new format, the old exporter is still available here.
The following options are all possible coprime pairs in the entered range of columns/rows, which fulfill the requirements (coprime pairs, whose product plus one is a prime number). Please select one choice:
Primitive Root
Here you can specify the primitive root. All possible primitive roots for the selected prime number are selectable. In the RPG patent, there is no direct
recommendation about the primitive root, except that it has to be a prime number itself. However, also the roots which are no primes are selectable.
Normally the lowest one which is prime is recommened.
