minecraft_koch.py

#!/usr/bin/env python
"This program draws a Koch curve in Minecraft"

import mcpi
import mcpi.block
import mcpi.minecraft
import numpy as np

LIMIT = 7

m1 = np.array([[1. / 2., -np.sqrt(3) / 2., 0],
               [np.sqrt(3) / 2., 1. / 2., 0],
               [0, 0, 1]])


def line(mc, v1, v2):
    v = v2 - v1
    norm = np.sqrt((v**2).sum())
    v = v / norm
    for d in np.arange(0, norm, 0.2):
        x, y, z = v1 + v * d
        mc.setBlock(x, y, z, mcpi.block.WOOL)


def curve(mc, v1, v2, depth=0):
    if depth >= LIMIT:
        line(mc, v1, v2)
    else:
        v3 = 2. / 3. * v1 + 1. / 3. * v2
        v4 = 1. / 3. * v1 + 2. / 3. * v2
        dv = (v2 - v1) / 3.
        v5 = v3 + np.dot(m1, dv)
        curve(mc, v1, v3, depth + 1)
        curve(mc, v3, v5, depth + 1)
        curve(mc, v5, v4, depth + 1)
        curve(mc, v4, v2, depth + 1)


def main():
    mc = mcpi.minecraft.Minecraft()
    x, y, z = mc.player.getPos()
    curve(mc, np.array([x + 10, y, z]), np.array([x + 210, y, z]))


if __name__ == '__main__':
    main()