Penrose Tiling Program

This is a simple program to generate Penrose tilings. A GUI is in progress but is incomplete. It will be added soon.

I give almost all credit to this blog for explaining the algorithm to me (as well as providing the neat "wheel" example).

#Instructions

Set variables to your liking and add a "seed" (think an initial value that the generator generates from) triangles to the arraylist (triangles.add(triangle);). After doing so, all you need to do is run the program.

Variables

Integers

(Note: colors may be created using the color() function as well as inputting as an integer)

w: width of the sketch

h: height of the sketch

backgroundColor: color of the background

outlineColor: color of the outline

fillColor0: color of the "skinny" (36 degree) triangle

fillColor1: color of the "fat" (108) degree triangle

outlineWeight: weight of the outline -- high outline weight can lead to ugly edges

loops: number of times deflated -- try not to exceed 10 unless you think your computer can handle it (deflation increases triangle count exponentially by the golden ratio, so bear that in mind. 10 loops will take maybe 5-30 seconds on my computer depending on resolution)

Booleans

drawFill: draw the fill if true

drawOutline: draw the outline if true

save: save if true

Strings:

filename: file name to save to

Functions/Object Initalizers

Coordinate c = new Coordinate(int x, int y)

Initialize c to be a coordinate with location at (x,y).

Triangle tri = new Triangle(Cooridnate a, Coordinate b, Coordinate c, int t)

Initialize tri to be a triangle made from coordinates a, b, and c. Int t is optional and is used to specify what kind of triangle tri is (0 for skinny, 1 for fat).

iso(Coordinate a, int degree, float h)

Returns an isosceles triangle. You really only will want either skinny (36) or fat (108) ones, but it will accept other. h is the height of the triangle, if it isn't clear. The variable degree is in degrees.

rotate_point(Coordinate origin, float angle, Coordinate p)

Returns a new point rotated angle degrees about the origin point. I used this to create the "wheel" of skinny triangles example.

Sample images

###Penrose tiles cropped so that the seed triangle is not visible

###Gif showing how deflation works

###Sun pattern Penrose tiling

Planned features

Add GUI (using G4P, likely)
Allow iso() to create triangles in any rotation, not just 0 or 180 degrees.
Fix "cracks" appearing between triangles/rhombuses (small gaps where the background is visible, likley present due to roundoff errors)

cole-k/Penrose-Tiling