Morley's Miracle

[cragwolf]

In 1929, the Anglo-American mathematician, Frank Morley, published and proved a theorem, which subsequently came to bear his name, Morley's theorem, also known as Morley's Miracle. It states:

The three points of intersection of the adjacent trisectors of the angles of any triangle form an equilateral triangle.

I have created an interactive OpenGL demonstration of this theorem, using the JEDI-SDL headers and FreePascal. It's nothing much, just a trifle, really, but you may enjoy it. I've only tested it on Linux, but I reckon it should also work on other platforms that are compatible with JEDI-SDL and FPC. Download the source code from here:

http://www.ludicity.org/files/morley.tar.gz (97.4 KB)

I compile it with the command: fpc -Mobjfpc morley.pp

Here's a screenshot:

http://www.ludicity.org/images/morleyss.png (33 KB)

You can click and drag any vertex of the blue triangle, and the red triangle will always remain an equilateral triangle.

[savage]

Looks interesting.
I'll try and create compile a Windows version later today.

Do you plan to use this in any games?

[cragwolf]

Do you plan to use this in any games?

No, this is just a small experiment, the sort of thing I do from time to time to keep myself amused.

[Murmandamus]

Dead links?

[cragwolf]

Fixed links! Thanks.

[WILL]

Hey cragwolf, feel free to share these whenever you like! I'm a sucker for these types of topics. Understand them fully or not.