[Tutorial] Hilbert Plotter by GeoCoder

GeoCoder

I had developed Hilbert Plotter program written in C# some years ago. See wikipedia ref: Hilbert Curve. Thought I'd try to rewrite the program in Lua for Gideros player. It took me about a week to finish the job. Boy, I learned a lot.

Started with a very simple program, drawing a curve of the first order. This was easy. Then, I added a Point class (developed by myself) for larger plots, other than the first order. I got a problem with a larger plot. It smeared the screen. Guessed Lua was too slow for the big pictures. I did not give up. Ain't no quitter. With my brain working hard, I finally found a solution. I merely broke the plot into many small subplots, drawing a subplot a time. The newly developed program worked for all orders up to the 8th! Note: the plot for the 8th order contains 65,536 points!

Next, I added a Slider class (also, developed by myself). That was not easy task. After studying Gideros' Button class closely, I finally finished it. It worked as expected. I used the class to create two sliders: one for changing the order to higher or lower in the range of [1, 8] and the other for changing the plotting speed,from zero to full speed. Boy, it was fun developing and watching my work plotting the curve.

The screen shot:


You will find the attached below. The zip file contains everything needed for you to try the plotter. Hope you would like it.

Thank you.

Geo

HubertRonald

This is amazing @GeoCoder >-

I've tested it (a little) and when I chose Hilbert Curve, Order of 8, seem this was forming the Triangle Sierpinski. I do not have much experience in issue of fractals.

GeoCoder

Glad you liked it, @HubertRonald

I never have seen the so-called Sierpinski Triangle here. I got nearly all black at the 8th order as expected.

HubertRonald

@GeoCoder, you're right
maybe I saw it because I was without my glasses :-B and it's late for this side of planet