Death Star

In this lesson, we'll combine geometry and Python knowledge to create perfect circles and spheres.

Circle Algorithm

The standard equation of a circle centered at (0, 0) is x*x + y*y = r*r, where r is the radius.

In a 2D coordinate grid, any point (x,y) inside a flat circle of radius r should satisfy the condition (x*x + y*y) <= r*r. We can use this condition to limit the locations of the blocks, and build a flat "circle" in CodeCraft world.

# small circle, blue, radius 10
for i in range(-10, 11):
  for j in range(-10, 11):
    if i*i+j*j <= 100:
      block(i, j+20, -20, 'linen_blue')

16-07 Big Circle

If you increase the radius, the shape will get closer to a perfect circle. Try building a large circle that has radius of at least 20 like this lime green one:

16-08 A Circle Function

Can you define a function that builds circles?

Create a function circle(x,y,z,r,m) where r is the radius, m is the material, and x,y,z is the origin (center) of the circle.

Call the function to build a few circles like in the picture.

Sphere algorithm

The points (x, y, z) inside a sphere should satisfy (x*x + y*y + z*z) <= r*r. The equation looks similar to a circle, but in three dimensions instead of two.

16-09 Sphere Function

Create a function sphere(x,y,z,m), and generate a sphere with radius at least 10.

A death star

sphere(0, 20, -10, 'stonebrick_carved')

A burning sun

sphere(30, 20, -10, 'redstone')