neozhaoliang

"""
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Simple Hyperbolic tiling animation using taichi
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
"""
import taichi as ti
from taichi.math import *

ti.init(arch=ti.cpu)

neozhaoliang

import cv2
import cairocffi as cairo
import numpy as np

import taichi as ti
ti.init(arch=ti.cpu)


scale = 5

neozhaoliang

# pip install taichi

import taichi as ti
ti.init(arch=ti.gpu)

d = 3
num_rounds = 100000
max_steps = 1000000

ivec = ti.types.vector(d, int)

neozhaoliang

import taichi as ti
import taichi.math as tm
ti.init(arch=ti.vulkan)

w, h = 800, 640
res = (w, h)

pixels = ti.Vector.field(3, float, shape=res)
window = ti.ui.Window("fractal", res=res)
canvas = window.get_canvas()

neozhaoliang

1. Riemann 映射定理
2. Schwartz-Pick 引理
3. Kolmogorov extension 定理
4. 路径提升和同伦提升
5. 用对偶锥的方法得出 Tits 锥的结构
6. Witt 消去定理 (Peter Clark 的讲义)
7. 理解了圆族是怎么来的，以及 mobius 变换的两个不动点对应的是光锥上的两个点。
8. 理解了 Lorentz 群的一个连通分支 O^(3, 1) 为什么和 Mobius 群是通过的