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It looks like you have provided a JSON object representing the vertices of an 3D polygonal mesh along with its edge list and some additional parameters (a "wall_thickness" value). However, I am unable to directly compute the volume using this data without further context or specific algorithms. But, we can discuss a possible method involving integration or summation of volumes based on your detailed representation. # Compute area from edges def get_area(edge): return edge['v2'][0] - edge['v1'][0], edge['v2'][1] - edge['v1'][1] areas = [] edges = [{"id":1,"type":1,"start":{"x":-4.6093749473874645,"y":19.0902258546042563,"z":17.808219178082193},... for each edge in edges area_x, area_y = get_area(edge) areas.append((area_x, area_y)) # Integrate volume with small interval (example interval length is 1e-10) interval_length = 1e-10 def integrate(func, start_point, end_point): sum = 0 for i in range(start_point[0], end_point[0]+1): if abs(i*interval_length-start_point[0]) < interval_length: left_func_value = func(int((i+0.5)*interval_length)) elif (abs(i*interval_length-end_point[0]) < interval_length) or i == end_point[0]: left_func_value = func((int((i-1)+1)*interval_length)) else: if(i > int(end_point[0])) and (i-int(end_point[0]) < 1): x_midpoint= abs(i * interval_length - end_point[0])/2 else: x_midpoint=(abs(i * interval_length- start_point[0]) ) left_func_value = func((x_midpoint)) return (end_point[1] + left_func_value) *interval_length sum_area = sum(areas) #volume integration (simple trapezoid area method approximation, for simplicity): for i in areas: #Integrate across small interval with approximating height func_height = lambda x : x[i[0]+2]*i[1] def get_left_height(y_start,x): global areas return integrate(func_height,[i[0] ,y_start],[x-1])[i[0]] right_value= abs((get_area({'v1':[1,1],"v2": [2.718282,3]}))) volume = right_value # For more complex shapes use numerical integration over the x-range or find exact integral of each slice. print("volume is", 10) You can call function get_left_height() with (int(y),i[0])