下图演示的是一个二维的、阶为 n=6 的 Hilbert 分形曲线：
Hilbert 曲线上包含 2^n x 2^n 个不同的点，这些点与 Golay 码一一对应。这个曲线就是利用 Golay 码生成的。
这个图片是用纯 python 生成的，运行时间正好是 1 秒整 (在我的 dell 7050 台式机上)。
代码点这里：
https://github.com/neozhaoliang/pywonderland/blob/master/src/gifmaze/example_hilbert_curve.py
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1
SeaRecluse Nov 20, 2018
看上去不错，抛砖引玉下
```python import matplotlib.pyplot as plt import numpy as np from matplotlib.animation import FuncAnimation #-----------------------------坐标转换---------------------------- def rot(n,x,y,rx,ry): if ry == 0: if rx == 1: x = (n - 1 - x) y = (n - 1 - y) tmp = x x = y y = tmp return x,y def xy2d(n,x,y): rx,ry,s,d = 0,0,0,0 s = n//2 while s: rx = 1 if (x&s) > 0 else 0 ry = 1 if (y&s) > 0 else 0 d += s * s * ((3 * rx) ^ ry) x,y = rot(s,x,y,rx,ry) s = s//2 return d #-----------------------------n:2 的次幂---------------------------- n = pow(2,4) x = np.arange(0,n) y = np.arange(0,n) allxy = [] for per_y in y: for per_x in x: d = xy2d(n,per_x,per_y) allxy.append([per_x,per_y,d]) for i in range(len(allxy)): for j in range(i + 1, len(allxy)): if allxy[j][2] < allxy[i][2]: temp = allxy[j] allxy[j] = allxy[i] allxy[i] = temp #-----------------------------画动态图---------------------------- fig, ax = plt.subplots() xdata, ydata = [], [] ln, = ax.plot([], [], '-*', color = "purple", animated=False) def init(): ax.set_xlim(-0.25, n-0.25) ax.set_ylim(-0.25, n-0.25) return ln, def update(frame): xdata.append(allxy[frame][0]) ydata.append(allxy[frame][1]) lnT, = ax.plot([], [], '-*', animated=False) lnT.set_data(xdata[-2:], ydata[-2:]) ln.set_data(xdata[:-1], ydata[:-1]) return ln,lnT ani = FuncAnimation(fig, update, frames=range(0,pow(n,2)), init_func=init, blit=True) plt.show() #-----------------------------画静态图---------------------------- # allxy = np.array(allxy) # plt.figure() # plt.plot(allxy[:,0],allxy[:,1],'-*',color = "purple",linewidth=2) # plt.show() ``` |
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