update

2021.03.19_plot_twist_graphene_with_python/graphene.py

@@ -0,0 +1,40 @@
+"""
+This code is supported by the website: https://www.guanjihuan.com
+The newest version of this code is on the web page: https://www.guanjihuan.com/archives/10909
+"""
+
+import numpy as np
+
+
+def main():
+    x_array = np.arange(-5, 5.1)
+    y_array = np.arange(-5, 5.1)
+    coordinates = []
+    for x in x_array:
+        for y in y_array:
+            coordinates.append([0+x*3, 0+y*np.sqrt(3)])
+            coordinates.append([1+x*3, 0+y*np.sqrt(3)])
+            coordinates.append([-1/2+x*3, np.sqrt(3)/2+y*np.sqrt(3)])
+            coordinates.append([-3/2+x*3, np.sqrt(3)/2+y*np.sqrt(3)])
+    plot_dots(coordinates)
+
+
+def plot_dots(coordinates):
+    import matplotlib.pyplot as plt
+    x_range = max(np.array(coordinates)[:, 0])-min(np.array(coordinates)[:, 0])
+    y_range = max(np.array(coordinates)[:, 1])-min(np.array(coordinates)[:, 1])
+    fig, ax = plt.subplots(figsize=(9*x_range/y_range,9))
+    plt.subplots_adjust(left=0.05, bottom=0.05, right=0.95, top=0.95)
+    plt.axis('off')
+    for i1 in range(len(coordinates)):
+        for i2 in range(len(coordinates)):
+            if np.sqrt((coordinates[i1][0] - coordinates[i2][0])**2+(coordinates[i1][1] - coordinates[i2][1])**2) < 1.1:
+                ax.plot([coordinates[i1][0], coordinates[i2][0]], [coordinates[i1][1], coordinates[i2][1]], '-k', linewidth=1)
+    for i in range(len(coordinates)):
+        ax.plot(coordinates[i][0], coordinates[i][1], 'ro', markersize=8)
+    # plt.savefig('graphene.eps') 
+    plt.show()
+
+
+if __name__ == '__main__':
+    main()

2021.03.19_plot_twist_graphene_with_python/square.py

@@ -0,0 +1,35 @@
+"""
+This code is supported by the website: https://www.guanjihuan.com
+The newest version of this code is on the web page: https://www.guanjihuan.com/archives/10909
+"""
+
+import numpy as np
+
+
+def main():
+    x_array = np.arange(-5, 5.1)
+    y_array = np.arange(-5, 5.1)
+    coordinates = []
+    for x in x_array:
+        for y in y_array:
+            coordinates.append([x, y])
+    plot_dots(coordinates)
+
+
+def plot_dots(coordinates):
+    import matplotlib.pyplot as plt
+    fig, ax = plt.subplots(figsize=(9,9))
+    plt.subplots_adjust(left=0.05, bottom=0.05, right=0.95, top=0.95)
+    plt.axis('off')
+    for i1 in range(len(coordinates)):
+        for i2 in range(len(coordinates)):
+            if np.sqrt((coordinates[i1][0] - coordinates[i2][0])**2+(coordinates[i1][1] - coordinates[i2][1])**2) < 1.1:
+                ax.plot([coordinates[i1][0], coordinates[i2][0]], [coordinates[i1][1], coordinates[i2][1]], '-k', linewidth=1)
+    for i in range(len(coordinates)):
+        ax.plot(coordinates[i][0], coordinates[i][1], 'ro', markersize=10)
+    # plt.savefig('square.eps') 
+    plt.show()
+
+
+if __name__ == '__main__':
+    main()

2021.03.19_plot_twist_graphene_with_python/twist_graphene.py

@@ -0,0 +1,72 @@
+"""
+This code is supported by the website: https://www.guanjihuan.com
+The newest version of this code is on the web page: https://www.guanjihuan.com/archives/10909
+"""
+
+import numpy as np
+import copy
+import matplotlib.pyplot as plt
+from math import *
+
+def main():
+    x_array = np.arange(-20, 20.1)
+    y_array = np.arange(-20, 20.1)
+    coordinates = []
+    for x in x_array:
+        for y in y_array:
+            coordinates.append([0+x*3, 0+y*np.sqrt(3)])
+            coordinates.append([1+x*3, 0+y*np.sqrt(3)])
+            coordinates.append([-1/2+x*3, np.sqrt(3)/2+y*np.sqrt(3)])
+            coordinates.append([-3/2+x*3, np.sqrt(3)/2+y*np.sqrt(3)])
+    x_range1 = max(np.array(coordinates)[:, 0])-min(np.array(coordinates)[:, 0])
+    y_range1 = max(np.array(coordinates)[:, 1])-min(np.array(coordinates)[:, 1])
+    
+    theta = -1.1/180*pi
+    rotation_matrix = np.zeros((2, 2))
+    rotation_matrix[0, 0] = np.cos(theta)
+    rotation_matrix[1, 1] = np.cos(theta)
+    rotation_matrix[0, 1] = -np.sin(theta)
+    rotation_matrix[1, 0] = np.sin(theta)
+    coordinates2 = copy.deepcopy(coordinates)
+    for i in range(len(coordinates)):
+        coordinates2[i] = np.dot(rotation_matrix, coordinates[i])
+    x_range2 = max(np.array(coordinates2)[:, 0])-min(np.array(coordinates2)[:, 0])
+    y_range2 = max(np.array(coordinates2)[:, 1])-min(np.array(coordinates2)[:, 1])
+
+    x_range = max([x_range1, x_range2])
+    y_range = max([y_range1, y_range2])
+    fig, ax = plt.subplots(figsize=(9*x_range/y_range,9))
+    plt.subplots_adjust(left=0.05, bottom=0.05, right=0.95, top=0.95)
+    plt.axis('off')
+    plot_dots_1(ax, coordinates)
+    plot_dots_2(ax, coordinates2)
+    plot_dots_0(ax, [[0, 0]])
+    plt.savefig('twist_graphene.eps') 
+    plt.show()
+
+
+def plot_dots_0(ax, coordinates):
+    for i in range(len(coordinates)):
+        ax.plot(coordinates[i][0], coordinates[i][1], 'ko', markersize=0.5)
+
+
+def plot_dots_1(ax, coordinates):
+    for i1 in range(len(coordinates)):
+        for i2 in range(len(coordinates)):
+            if np.sqrt((coordinates[i1][0] - coordinates[i2][0])**2+(coordinates[i1][1] - coordinates[i2][1])**2) < 1.1:
+                ax.plot([coordinates[i1][0], coordinates[i2][0]], [coordinates[i1][1], coordinates[i2][1]], '-k', linewidth=0.2)
+    for i in range(len(coordinates)):
+        ax.plot(coordinates[i][0], coordinates[i][1], 'ro', markersize=0.5)
+    
+
+def plot_dots_2(ax, coordinates):
+    for i1 in range(len(coordinates)):
+        for i2 in range(len(coordinates)):
+            if np.sqrt((coordinates[i1][0] - coordinates[i2][0])**2+(coordinates[i1][1] - coordinates[i2][1])**2) < 1.1:
+                ax.plot([coordinates[i1][0], coordinates[i2][0]], [coordinates[i1][1], coordinates[i2][1]], '--k', linewidth=0.2)
+    for i in range(len(coordinates)):
+        ax.plot(coordinates[i][0], coordinates[i][1], 'bo', markersize=0.5)    
+
+
+if __name__ == '__main__':
+    main()