blender预设曲面

hbghlyj

blenderartists.org/t/lawsons-minimal-surface-questions/671697
在\Blender Foundation\Blender 3.0\3.0\scripts\addons\presets\operator\mesh.primitive_xyz_function_surface里可以找到blender中的一些预设的曲面的参数方程:

bonbon.py

1. import bpy
2. op = bpy.context.active_operator
4. op.x_eq = 'u'
5. op.y_eq = 'cos(u)*sin(v)'
6. op.z_eq = 'cos(u)*cos(v)'
7. op.range_u_min = 0.0
8. op.range_u_max = 6.2831854820251465
9. op.range_u_step = 32
10. op.wrap_u = False
11. op.range_v_min = 0.0
12. op.range_v_max = 6.2831854820251465
13. op.range_v_step = 128
14. op.wrap_v = False
15. op.close_v = False
16. op.n_eq = 1
17. op.a_eq = '0'
18. op.b_eq = '0'
19. op.c_eq = '0'
20. op.f_eq = '0'
21. op.g_eq = '0'
22. op.h_eq = '0'

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boy.py

1. import bpy
2. op = bpy.context.active_operator
4. op.x_eq = '2/3* (cos(u)* cos(2*v) + sqrt(2)* sin(u)* cos(v))* cos(u) / (sqrt(2) - sin(2*u)* sin(3*v))'
5. op.y_eq = 'sqrt(2)* cos(u)* cos(u) / (sqrt(2) - sin(2*u)* sin(3*v))'
6. op.z_eq = '2/3* (cos(u)* sin(2*v) - sqrt(2)* sin(u)* sin(v))* cos(u) / (sqrt(2) - sin(2*u)* sin(3*v))'
7. op.range_u_min = 0.0
8. op.range_u_max = 3.1415927410125732
9. op.range_u_step = 32
10. op.wrap_u = False
11. op.range_v_min = 0.0
12. op.range_v_max = 3.1415927410125732
13. op.range_v_step = 64
14. op.wrap_v = False
15. op.close_v = False
16. op.n_eq = 1
17. op.a_eq = '0'
18. op.b_eq = '0'
19. op.c_eq = '0'
20. op.f_eq = '0'
21. op.g_eq = '0'
22. op.h_eq = '0'

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catalan.py

1. import bpy
2. op = bpy.context.active_operator
4. op.x_eq = 'u-sin(u)*cosh(v)'
5. op.y_eq = '4*sin(1/2*u)*sinh(v/2)'
6. op.z_eq = '1-cos(u)*cosh(v)'
7. op.range_u_min = -3.1415927410125732
8. op.range_u_max = 9.42477798461914
9. op.range_u_step = 32
10. op.wrap_u = False
11. op.range_v_min = -2.0
12. op.range_v_max = 2.0
13. op.range_v_step = 128
14. op.wrap_v = False
15. op.close_v = False
16. op.n_eq = 1
17. op.a_eq = '0'
18. op.b_eq = '0'
19. op.c_eq = '0'
20. op.f_eq = '0'
21. op.g_eq = '0'
22. op.h_eq = '0'

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catenoid.py

1. import bpy
2. op = bpy.context.active_operator
4. op.x_eq = '2*cosh(v/2)*cos(u)'
5. op.y_eq = 'v'
6. op.z_eq = '2*cosh(v/2)*sin(u)'
7. op.range_u_min = -3.1415927410125732
8. op.range_u_max = 3.1415927410125732
9. op.range_u_step = 32
10. op.wrap_u = True
11. op.range_v_min = -3.1415927410125732
12. op.range_v_max = 3.1415927410125732
13. op.range_v_step = 128
14. op.wrap_v = False
15. op.close_v = False
16. op.n_eq = 1
17. op.a_eq = '0'
18. op.b_eq = '0'
19. op.c_eq = '0'
20. op.f_eq = '0'
21. op.g_eq = '0'
22. op.h_eq = '0'

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clifford_torus.py

1. import bpy
2. op = bpy.context.active_operator
4. op.x_eq = 'cos(u+v)/(sqrt(2.)+cos(v-u))'
5. op.y_eq = 'sin(v-u)/(sqrt(2.)+cos(v-u))'
6. op.z_eq = 'sin(u+v)/(sqrt(2.)+cos(v-u))'
7. op.range_u_min = 0.0
8. op.range_u_max = 3.140000104904175
9. op.range_u_step = 8
10. op.wrap_u = False
11. op.range_v_min = 0.0
12. op.range_v_max = 6.2831854820251465
13. op.range_v_step = 128
14. op.wrap_v = False
15. op.close_v = False
16. op.n_eq = 1
17. op.a_eq = '0'
18. op.b_eq = '0'
19. op.c_eq = '0'
20. op.f_eq = '0'
21. op.g_eq = '0'
22. op.h_eq = '0'

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cochlea.py

1. import bpy
2. op = bpy.context.active_operator
4. op.x_eq = 'v*cos(u)'
5. op.y_eq = 'v*sin(u)'
6. op.z_eq = '0.4*u'
7. op.range_u_min = 0.0
8. op.range_u_max = 12.566370964050293
9. op.range_u_step = 32
10. op.wrap_u = False
11. op.range_v_min = 0.0
12. op.range_v_max = 2.0
13. op.range_v_step = 32
14. op.wrap_v = False
15. op.close_v = False
16. op.n_eq = 1
17. op.a_eq = '0'
18. op.b_eq = '0'
19. op.c_eq = '0'
20. op.f_eq = '0'
21. op.g_eq = '0'
22. op.h_eq = '0'

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cosinus.py

1. import bpy
2. op = bpy.context.active_operator
4. op.x_eq = 'u'
5. op.y_eq = 'sin(pi*((u)**2+(v)**2))/2'
6. op.z_eq = 'v'
7. op.range_u_min = -1.0
8. op.range_u_max = 1.0
9. op.range_u_step = 32
10. op.wrap_u = False
11. op.range_v_min = -1.0
12. op.range_v_max = 1.0
13. op.range_v_step = 128
14. op.wrap_v = False
15. op.close_v = False
16. op.n_eq = 1
17. op.a_eq = '0'
18. op.b_eq = '0'
19. op.c_eq = '0'
20. op.f_eq = '0'
21. op.g_eq = '0'
22. op.h_eq = '0'

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等等,一共24个