如何制作三叶草图像

Question

我正在尝试制作三叶草晶体以供以后制造，并使用纳斯卡设计工具来完成它。

如何放置梯形，使梯形的边与圆平行，并且始终位于尖角的末端。

import nazca as nd
import numpy as np
# Define parameters
a = 500
semib = 0.255 * a
semia = semib * 0.75
shift = 0.22 * a
thickness = 0.65 * a
f = 2 * semia / np.sqrt(3)
r = semia

with nd.Cell(name="shamrock") as sham:
    # Create circles for the shamrock pattern
    circ1 = nd.geometries.circle(radius=semia, N=100)
    circ2 = nd.geometries.circle(radius=semia, N=100)
    circ3 = nd.geometries.circle(radius=semia, N=100)

    # Create Polygon objects for circles
    circ1_polygon = nd.Polygon(layer=56, points=circ1)
    circ2_polygon = nd.Polygon(layer=56, points=circ2)
    circ3_polygon = nd.Polygon(layer=56, points=circ3)

    # Place circles for the shamrock pattern using put
    circ1_polygon.put(0, shift)
    circ2_polygon.put(-shift * 0.5 * np.sqrt(3), -shift * 0.5)
    circ3_polygon.put(shift * 0.5 * np.sqrt(3), -shift * 0.5)

    # Identify sharp corners
    sharp_corner1 = ((-shift * 0.5 * np.sqrt(3)) / 2, (shift + (-shift * 0.5)) / 2)
    sharp_corner2 = ((0 + (shift * 0.5 * np.sqrt(3))) / 2, (shift + (-shift * 0.5)) / 2)
    sharp_corner3 = ((-shift * 0.5 * np.sqrt(3) + (shift * 0.5 * np.sqrt(3))) / 2, (-shift * 0.5 + (-shift * 0.5)) / 2)
    semicircle_radius  =  f-r
    # Create trapezoid using the trapezoid function
    
    trapezoid_shape = nd.geometries.trapezoid(length=50, height=160, angle1=132, angle2=132, position=1)

    # Create Polygon object for trapezoid
    trapezoid_polygon = nd.Polygon(layer=56, points=trapezoid_shape)

    # Place trapezoid at the sharp corners
    trapezoid_polygon.put(25,75,180)


nd.export_plt(sham)

这是图片。

理想情况下，如果有这样的边角平滑的东西就好了。但我想在上面放一个梯形来平滑更尖的角。

Answer 1

这可以通过增大和缩小纳斯卡中的多边形来完成：

import nazca as nd
import numpy as np

# Define parameters
a = 500
semib = 0.255 * a
semia = semib * 0.75
shift = 0.22 * a
thickness = 0.65 * a
f = 2 * semia / np.sqrt(3)
r = semia

with nd.Cell(name="shamrock") as sham:
    # Create circles for the shamrock pattern
    circ1 = nd.geometries.circle(radius=semia, N=100)
    circ2 = [(x - semia, y - np.sqrt(3) * semia) for x, y in circ1]
    circ3 = [(x + semia, y - np.sqrt(3) * semia) for x, y in circ1]

    # grow and shrink 20%
    pols = nd.grow_polygons([circ1, circ2, circ3], 0.2 * semia)
    pols = nd.grow_polygons(pols, -0.2 * semia)

    for p in pols:
        nd.Polygon(layer=56, points=p).put()

nd.export_plt(sham)