From 7170a413e34e7807f5ea896e78f1b48c815a2d8d Mon Sep 17 00:00:00 2001
From: joy <joy224961632@gmail.com>
Date: Tue, 4 Mar 2025 00:01:52 +0900
Subject: [PATCH] =?UTF-8?q?=E6=9B=B4=E6=96=B0=20FiboPoint.py?=
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---
 FiboPoint.py | 59 ++++++++++++++++++++--------------------------------
 1 file changed, 23 insertions(+), 36 deletions(-)

diff --git a/FiboPoint.py b/FiboPoint.py
index fb74e71..3162e0e 100644
--- a/FiboPoint.py
+++ b/FiboPoint.py
@@ -1,40 +1,27 @@
 import numpy as np
 import matplotlib.pyplot as plt
 
-def fibonacci_spiral(n):
-    # 費波那契數列
-    fib = [0, 1]
-    for _ in range(n-1):
-        fib.append(fib[-1] + fib[-2])
-    
-    # 初始化繪圖
-    fig, ax = plt.subplots(figsize=(8, 8))
-    ax.set_aspect('equal')
-    
-    # 繪製方塊和圓弧
-    x, y = 0, 0  # 起始點
-    dx, dy = 1, 0  # 初始方向
-    for i in range(n):
-        size = fib[i]
-        ax.add_patch(plt.Rectangle((x, y), size * dx, size * dy, fill=False, edgecolor='black'))
-        
-        # 繪製圓弧（逆向）
-        theta = 
-        #np.linspace((i + 1) * np.pi / 2, i * np.pi / 2, 100) #逆向
-        #np.linspace(i * np.pi / 2, (i + 1) * np.pi / 2, 100) #正向
-        arc_x = x + size * np.cos(theta)
-        arc_y = y + size * np.sin(theta)
-        ax.plot(arc_x, arc_y, 'b', linewidth=2)
-        
-        # 更新 (x, y) 和 (dx, dy)
-        x, y = x + size * dx, y + size * dy
-        dx, dy = dy, -dx  # 逆時針旋轉 90°
-        #dx, dy = -dy, dx  #順時針
-    
-    ax.set_xlim(-fib[-1], fib[-1])
-    ax.set_ylim(-fib[-1], fib[-1])
-    plt.axis('off')
-    plt.show()
+# 參數設定
+a = 1  # 初始半徑
+b = np.log((1 + np.sqrt(5)) / 2) / (np.pi / 2)  # 黃金比例相關的 b 值
 
-# 繪製前 10 個費波那契螺旋
-fibonacci_spiral(10)
+# 角度範圍 (0 到 4π 讓螺旋轉兩圈)
+theta = np.linspace(0, 4 * np.pi, 1000)
+r = a * np.exp(b * theta)
+
+# 轉換為笛卡爾座標
+x = r * np.cos(theta)
+y = r * np.sin(theta)
+
+# 繪製黃金螺旋
+plt.figure(figsize=(6, 6))
+plt.plot(x, y, color='gold', linewidth=2)
+
+# 設定視圖範圍與標籤
+plt.axis('equal')  # 保持比例
+plt.title("黃金螺旋 (Golden Spiral)", fontsize=14)
+plt.xlabel("X")
+plt.ylabel("Y")
+
+# 顯示圖像
+plt.show()