plotting as vector

quaternions/qq2.py

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+import numpy as np
+import quaternion
+import matplotlib.pyplot as plt
+from mpl_toolkits.mplot3d import Axes3D
+
+# Define the original vector (as a pure quaternion)
+v = np.quaternion(0, 1, 2, 3)  # This is the vector (1, 2, 3)
+
+# Define a rotation quaternion (e.g., 90-degree rotation around the z-axis)
+angle = np.pi / 2  # 90 degrees
+rotation_q = np.quaternion(np.cos(angle / 2), 0, 0, np.sin(angle / 2))
+
+# Apply the quaternion rotation
+v_rotated = rotation_q * v * rotation_q.conjugate()
+impure = rotation_q * v
+
+# Extract the vector components (x, y, z) from the quaternion
+v_vector = [v.x, v.y, v.z]
+v_impure = [impure.x, impure.y, impure.z]
+v_rotated_vector = [v_rotated.x, v_rotated.y, v_rotated.z]
+
+# Plotting
+fig = plt.figure()
+ax = fig.add_subplot(111, projection='3d')
+
+# Plot the original vector
+ax.quiver(0, 0, 0, v_vector[0], v_vector[1], v_vector[2], color='b', label='Original Vector')
+ax.quiver(0, 0, 0, v_impure[0], v_impure[1], v_impure[2], color='b', label='Impure Vector')
+
+# Plot the rotated vector
+ax.quiver(0, 0, 0, v_rotated_vector[0], v_rotated_vector[1], v_rotated_vector[2], color='r', label='Rotated Vector')
+
+# Setting the axes properties
+ax.set_xlim([-3.5, 3.5])
+ax.set_ylim([-3.5, 3.5])
+ax.set_zlim([-3.5, 3.5])
+
+ax.set_xlabel('X')
+ax.set_ylabel('Y')
+ax.set_zlabel('Z')
+
+plt.legend()
+plt.show()
+