Decomposition/Representation as Sum of Triangular/Square Numbers.

January, 2013

Martin Carradus

Copyright © 2013 Leaf Mindcraft

Downloading, Unpacking and Using !SumTriSqr

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The !SumTriSqr Application is a Triangular/Square Number Decomposer/Representor for the Acorn RISC OS computer environment.

!SumTriSqr is freeware, and is available for free download.

After having downloaded and unzipped the !SumTriSqr Application, drag the application to a suitable directory on your hard disc. Double click on the !SumTriSqr file icon to load the application onto the icon bar.

Please read the Included Text File 'ReadMe', for conditions of use, & 'Help' for details of what !SumTriSqr does.

Select 'Help' option from the bar icon menu for more information. Should be 32-bit compatible.

Left-clicking on the bar icon, makes a Panel appear.

Type values into one of the two appropriate writable slots on the Panel, then click on 'Calculuate Tri Sum', 'Calculate Sqr Sum', or 'Calculate All'.

It is a Fact, in Number Theory, that any (positive) Whole Number, can be represented as/decomposed into the sum of up to three triangular numbers, or four squares.

This program performs the Representation/Decomposition.

(Triangular Numbers are the number of 'dots', needed to form an equilateral triangle of 'dots', and are given by the formula:- dots = n times (n+1) all divided by two, where n is the number of 'dots' in all the three sides.)

(It might take less than three triangular numbers, or four squares, on occasion.)

Associated with the two Supplied Values, are two buttons that Increment/Decrement the Supplied Values by One, every time they are clicked.

The Menu associated with this Panel, also gives Help information.

Click on Icon to DownLoad Zipped Acorn Application !SumTriSqr Version 1.00 Dated January 29th 2013.

NB. Please change the downloaded compressed IBM File extension from '.zipped' to '.zip', and the Acorn File type to 'Archive' in order to decompress.

This document was generated on 29th January 2013 for this Acorn RISC OS Software Application written and distributed by Martin Carradus