47 lines
2.0 KiB
Python
47 lines
2.0 KiB
Python
import numpy as np
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import matplotlib.pyplot as plt
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# Define the dimensions of the trapezoid
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base1 = 5
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base2 = 3
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height = 4
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# Calculate the width of the rectangle that can be cut from each side of the trapezoid
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rect_width = (base1 + base2) / 2
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# Cut off two rectangles from the trapezoid
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trap_points = np.array([[0, 0], [base1, 0], [base1, height], [0, height]])
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rect_points = np.array([[0, 0], [rect_width, 0], [rect_width, height], [0, height]])
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trap_cut_points = np.array([[rect_width, 0], [base2, 0], [base2, height], [rect_width, height]])
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# Plot the original trapezoid and cut off rectangles
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plt.fill(trap_points[:, 0], trap_points[:, 1], color='gray')
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plt.fill(rect_points[:, 0], rect_points[:, 1], color='blue')
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plt.fill(trap_cut_points[:, 0], trap_cut_points[:, 1], color='blue')
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# Calculate the size of the remaining triangle
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triangle_width = base2 - rect_width
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triangle_height = (base2 * height) / base1
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# Cut off the triangle from the trapezoid
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tri_points = np.array([[rect_width, 0], [base2, 0], [(base2 + rect_width) / 2, height]])
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tri_cut_points = np.array([[(base2 + rect_width) / 2, 0], [(base2 + rect_width) / 2, triangle_height], [rect_width, triangle_height]])
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# Plot the remaining triangle and cut off triangles
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plt.fill(tri_points[:, 0], tri_points[:, 1], color='green')
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plt.fill(tri_cut_points[:, 0], tri_cut_points[:, 1], color='green')
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# Calculate the size of the small squares
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small_square_size = min(rect_width, triangle_height) / 2
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# Cut off the small squares from the rectangle and triangle
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rect_small_squares_points = np.array([[0, 0], [small_square_size, 0], [small_square_size, small_square_size], [0, small_square_size]])
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tri_small_squares_points = np.array([[(base2 + rect_width) / 2 - small_square_size, small_square_size], [(base2 + rect_width) / 2, 0], [(base2 + rect_width) / 2 - small_square_size, 0]])
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# Plot the small squares
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plt.fill(rect_small_squares_points[:, 0], rect_small_squares_points[:, 1], color='red')
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plt.fill(tri_small_squares_points[:, 0], tri_small_squares_points[:, 1], color='red')
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# Show the plot
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plt.axis('scaled')
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plt.show() |