Spiral 1

main.lua

-- Constants
a = 1
n = 1

function spiral(theta)
   -- Work out the polar equation
   local r = a * theta ^ (1/n)
   -- Convert to cartesian coordinates
   local x = r * math.sin(theta)
   local y = r * math.cos(theta)
   return x, y
end

function love.draw()
   -- Draw for theta between 0 and 3pi, with sample period of pi/100
   for theta=0, 3 * math.pi, math.pi/100 do
      local x, y = spiral(theta)
      -- Adjust the points to be in the middle of the screen, and scale by 20
      love.graphics.point(width / 2 + x * 20, height / 2 + y * 20)
   end
end

function love.load()
   width = love.graphics.getWidth()
   height = love.graphics.getHeight()
   love.graphics.setPoint(3, "smooth")
   love.graphics.setColor(255, 255, 255, 255)
   love.graphics.setBackgroundColor(0, 0, 0)
end