Hello!

This topic is opened to focus on a particular aspect of a time graph I have been experimenting with. The aspect I would like to inquire upon is that of using a curved graph to do math on. I am investigation this map to see how much I can find out about it, focusing on various subjects at at time, and seeking to put these quandaries into a larger frame of understanding. The graph is shaped into an attractor, which is something that can appear on a standard X and Y graph as well.

I want to explore the possibilities of using this as a mathematical grid, and to be more specific, of using curved graphs in general. Below the first picture is of an empty graph, then one of a graph with some measurements in it, then a graph that has had its modulation changed. Please keep the focus here on the mathematics only! Thanks!

This is a an empty graph with a 13 x 28 modulation base.

This graph has been divided into three parts. One half shows possible new ways of looking at and taking measurements, one of the other two quarters show a rise and fall formula as a repeating function that changes with the graph's curve, and the other quarter shows a parabola that is also a repeating function that changes with the curve. The formulas that go into making these patterns in my opinion might be worth investigating.

Here the graph's modulation has been changed to that of 10 x 10, which could be useful for observing and analyzing different types of information graphically.

The question is, then, on curved graphs themselves, and how these can be or are used mathematically? This image simply shows a format that graphs can take, the modulation of the graph itself can be changed. Any thoughts or insights are appreciated, as I am looking for help here.