function love.load() -- do global variables get declared here?
	windowwidth = 1000
	windowheight = 1000
	sucess = love.window.setMode(windowwidth, windowheight)
	x = 30
	y = 50
	z = math.sin(math.pi/3)
	cx = 0
	cy = 0
	theta = math.pi/60 -- 3 degrees
end

function love.update(dt) -- added dt as a parameter ... is dt 1/framerate?
	cx = cx + dt
	cy = cy + dt
end

function love.draw() -- render to window
	love.graphics.setColor(200/255, 215/255, 0/255)
	--delthe = math.pi/60 -- 3 degrees .... try making delthe into the derrivative of the curve...
	theta = math.pi/60 -- 3 degrees
	delthe = -4*math.sin(2*theta) -- delthe is now the derrivative of r = 2cos(2ø)

	love.graphics.setColor(145/255, 12/255, 230/255)
	love.graphics.rectangle("line", x, y, 100, 100)
	love.graphics.setColor(0/255, 12/255, 230/255)
	love.graphics.print("the sin of 60 is: " .. z, 100, 300)
	love.graphics.setColor(0/255, 200/255, 230/255)
	love.graphics.print("here is a line: ", 100, 400)
	love.graphics.setColor(0/255, 200/255, 100/255)
	love.graphics.line(100,400, math.cos(100*math.pi/3) + 200, math.sin(100*math.pi/3) + 200)
	--theta = 0
	--draws a circle
	for theta = 0, 2*math.pi, delthe do -- you must specify the incrementation or it will assumed to be 1

		r = 100
		a = 1 -- amplitude of the waves
		b = 2
		--delthe = math.pi/60 -- 3 degrees... change del the to be based on r to fix holes maybe?
		love.graphics.setColor(200/255, 0/255, 100/255)

		love.graphics.line(r*math.cos(a*theta) + windowwidth/2, r*math.sin(a*theta) + windowwidth/2, r*math.cos(a*theta + a*delthe) + windowwidth/2, r*math.sin(a*theta + a*delthe) + windowwidth/2)
	end
	-- attempt to draw a clover with equation r = cos(2*theta)
	for theta = 0, 2*math.pi, delthe do
		r = 2*math.cos(2*theta)
		a = 100
		b = 2
		--delthe = math.pi/60 -- 3 degrees
		love.graphics.setColor(100/255, 0/255, 200/255)
		love.graphics.line(a*r*math.cos(theta) + windowwidth/2, a*r*math.sin(theta) + windowheight/2, a*r*math.cos(theta + delthe) + windowwidth/2, a*r*math.sin(theta+delthe) + windowheight/2)
	end
	-- attempt to draw a clover with equation r = cos(2*theta)
	for theta = 0, 2*math.pi, delthe do
		r = 2*math.sin(3*theta)
		a = 100
		b = 2
		--delthe = math.pi/60 -- 3 degrees
		love.graphics.setColor(2/255, 200/255, 50/255)
		love.graphics.line(a*r*math.cos(theta) + windowwidth/2, a*r*math.sin(theta) + windowheight/2, a*r*math.cos(theta + delthe) + windowwidth/2, a*r*math.sin(theta+delthe) + windowheight/2)
	end
	-- a spiral pattern!
	for theta = 0, 2*math.pi, delthe do
		r = math.sin(1/3*theta)
		a = 100
		b = 2
		--delthe = math.pi/60 -- 3 degrees
		love.graphics.setColor(2/255, 200/255, 155/255)
		love.graphics.line(a*r*math.cos(theta) + windowwidth/2, a*r*math.sin(theta) + windowheight/2, a*r*math.cos(theta + delthe) + windowwidth/2, a*r*math.sin(theta+delthe) + windowheight/2)
	end
	-- 8 leaves
	for theta = 0, 2*math.pi, delthe do
		r = math.sin(4*theta)
		a = 100
		b = 2
		--delthe = math.pi/60 -- 3 degrees
		love.graphics.setColor(230/255, 0/255, 50/255)
		love.graphics.line(a*r*math.cos(theta) + windowwidth/2, a*r*math.sin(theta) + windowheight/2, a*r*math.cos(theta + delthe) + windowwidth/2, a*r*math.sin(theta+delthe) + windowheight/2)
	end

	love.graphics.print("x: " .. cx .. "y: " .. cy, cx, cy)
	love.graphics.circle("fill", cx, cy, 2)
end

function love.keypressed(key)
	if key == "space" then
		x = math.random(100, 500)
		y = math.random(100, 500)
	end
end