Pascalloid Calculator Changelog

What's new in Pascalloid Calculator 9.3

Sep 20, 2019
  • Most significantly, a new high-resolution algorithm engine, syntax and parsing system was installed, allowing us to work within the full universe of theoretical geometry, provided the computer has the capacity for it. It turns out that the earlier lattice approach is still useful and good, because it leads to self-correlations in the algorithm, places where the algorithm lines up with itself, whereas using the high-resolution approach does not result in easy self-correlations; the data must be accurate to the specific geometry in order to line-up with itself.
  • Thanks to this new feature, all of the geometry data given by the site http://dmccooey.com/polyhedra/ can now be effectively parsed as Pascalloid algorithms. Spreadsheets included show how we use the data from that site and convert it into useful algorithm coords.
  • A feature in "User Defined" algorithm mode has been prepared to deliver a group of as many random coordinates as specified. This was to give a quick way to look at the new syntax, but also serves to prove another wild postulate: The same & repeatable group of numbers are generated, given a fixed number of random vertexes. In this system of geometry called Pascalloids, purely random algorythms will deliver uniform numerical results. It is only when we use coordinates that line up with each other in some way that we can achieve any distinct result, differing from this repeatable yet nebulous Pascalloid cluster of numbers. As it turns out, this is a simple way of breaking down any Pascalloid into its constituent number parts.
  • A feature called "Div by N" was installed, allowing the user to test if N is a prime number or not by the results of this dividing all numbers by N. The results I have looked at so far indicate that even core numbers in a 3D Pascalloid are behaving as indicators of whether or not the current N value is a prime number. If N is prime, the only decimal results from this process will be at the corners of the geometry. If N is not prime, decimal results demonstrating this will pop up all over, on the edges, sides and in the core of the 3D geometry.
  • In order to automatically filter our Pascalloid to find any decimal results, the 'Modulus' feature was edited so that it now allows the user to take "Modulus(# % 1)" for the entire structure. If all the numbers are whole, taking Modulus 1 will of course result in a blank display. However, I have also adjusted the program so that we may now take Modulus(# % 1.5), Modulus(# % 0.5) or any non-zero decimal Modulus, which may allow for some new geometric investigations.
  • Output created in Data Only mode is now formatted correctly such that any part of it can be recycled to generate a new Pascalloid algorithm in 'User Defined'. So it can iterate its output back into its input, just like a normal calculator does.
  • Lastly and perhaps most important, pressing the 'o' key (letter oh on the keyboard), the entire interface is hidden displaying not just the animation, but a monogram in the corner, and a new number board / legend for us to easily see a tabulated summary of the numbers that appear in the Pascalloid. If this list is too long to fit on the display, it will pan up and down in order to let us glimpse the entire list.

New in Pascalloid Calculator 8.7 (Oct 9, 2013)

  • Fixed a few mathematical errors, and smoothed out the animation loop.