Python reflect image along each sides of the triangle -

i have created triangle positioned in centre of screen.

from pil import image, imagedraw gray = (190, 190, 190) im = image.new('rgba', (400, 400), white) points = (250, 250), (100, 250), (250, 100) draw = imagedraw.draw(im) draw.polygon(points, gray) 

how duplicate image , reflect along each sides of triangle @ different random points. example...

plan: first find random point on edge of big triangle put smaller one, , rotate fits on edge.

suppose can access points of triangle

triangle.edges[0].x,  triangle.edges[0].y,  triangle.edges[1].x, etc 

we can find arbitrary point first selecting edge, , "walk random distance next edge":

r = randint(3) # random integer between 0 , 2 first_edge = triangle.edges[r] second_edge = r == 2 ? triangle.edges[0] : triangle.edges[r + 1]  ## next lines kind of pseudo-code r = randfloat(1) random_point = (second_edge - first_edge)*r + first_edge  

our next problem how rotate triangle. if have done algebra might recognise this:

def rotatepointaroundorigin(point, angle):     new_point = point()     new_point.x = cos(angle)*point.x - sin(angle)*point.y     new_point.y = sin(angle).point.x + cos(angle)*point.y     return new_point 

(see https://en.wikipedia.org/wiki/rotation_matrix)

in addition need determine how rotate triangle, , apply function above of points.