Created
June 27, 2020 03:01
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| """ | |
| in x_dim s d=3 n=2 | |
| in y_dim s d=3 n=2 | |
| in theta s d=1.0471973 n=2 | |
| in alpha s d=0. n=2 | |
| out verts v | |
| out edges s | |
| out faces s | |
| """ | |
| """ | |
| A---- B ---- C | |
| / / / | |
| O---- D(I)----E | |
| theta : angle between AOD | |
| alpha : angle between DOI (I: point under D) | |
| beta : angle between AOI | |
| """ | |
| from mathutils import Vector | |
| from animation_nodes.data_structures import Vector3DList, EdgeIndicesList, PolygonIndicesList | |
| # import numpy as np | |
| import math | |
| if x_dim < 1: x_dim = 1 | |
| if y_dim < 1: y_dim = 1 | |
| if math.cos(alpha) < 0.03: | |
| beta = 0.0 | |
| else: | |
| beta = math.acos(math.cos(theta)/math.cos(alpha)) | |
| # vertices of the unit cell | |
| v_base = [ | |
| [math.cos(beta), math.sin(beta), 0], | |
| [math.cos(alpha) + math.cos(beta), math.sin(beta), math.sin(alpha)], | |
| [2*math.cos(alpha) + math.cos(beta), math.sin(beta), 0], | |
| [0,0,0], | |
| [math.cos(alpha), 0, math.sin(alpha)], | |
| [2*math.cos(alpha), 0, 0], | |
| [math.cos(beta), -math.sin(beta), 0], | |
| [math.cos(alpha) + math.cos(beta), -math.sin(beta), math.sin(alpha)], | |
| [2*math.cos(alpha) + math.cos(beta), -math.sin(beta), 0] | |
| ] | |
| # arrange vertices | |
| verts = Vector3DList() | |
| v = [] | |
| for i in range(y_dim): | |
| v1 = [] | |
| v2 = [] | |
| v3 = [] | |
| for j in range(x_dim): | |
| x_offset = 2*math.cos(alpha)*j | |
| y_offset = -2*math.sin(beta)*i | |
| if j == 0: | |
| if i == 0: | |
| v1.append(Vector((v_base[0][0], v_base[0][1], v_base[0][2]))) | |
| v2.append(Vector((v_base[3][0], y_offset + v_base[3][1], v_base[3][2]))) | |
| v3.append(Vector((v_base[6][0], y_offset + v_base[6][1], v_base[6][2]))) | |
| if i == 0: | |
| v1.append(Vector((x_offset + v_base[1][0], y_offset + v_base[1][1], v_base[1][2]))) | |
| v1.append(Vector((x_offset + v_base[2][0], y_offset + v_base[2][1], v_base[2][2]))) | |
| v2.append(Vector((x_offset + v_base[4][0], y_offset + v_base[4][1], v_base[4][2]))) | |
| v2.append(Vector((x_offset + v_base[5][0], y_offset + v_base[5][1], v_base[5][2]))) | |
| v3.append(Vector((x_offset + v_base[7][0], y_offset + v_base[7][1], v_base[7][2]))) | |
| v3.append(Vector((x_offset + v_base[8][0], y_offset + v_base[8][1], v_base[8][2]))) | |
| if i == 0: | |
| v.extend(v1) | |
| v.extend(v2) | |
| v.extend(v3) | |
| verts.extend(v) | |
| # define edges | |
| edges = EdgeIndicesList() | |
| edge_set = set() | |
| y = 3 + 2*(y_dim-1) | |
| x = 3 + 2*(x_dim-1) | |
| index = 0 | |
| for i in range(y-1): | |
| for j in range(x-1): | |
| index = i * x + j | |
| edge_set.add(tuple(sorted([index, index+1]))) | |
| edge_set.add(tuple(sorted([index, index+x]))) | |
| # right side | |
| edge_set.add(tuple(sorted([index + 1, index+x + 1]))) | |
| # bottom line | |
| for k in range(x-1): | |
| index = (y-1) * x + k | |
| edge_set.add(tuple(sorted([index, index + 1]))) | |
| edges.extend(list(edge_set)) | |
| # define faces | |
| faces = PolygonIndicesList() | |
| face_set = set() | |
| for i in range(y-1): | |
| for j in range(x-1): | |
| index = i * x + j | |
| face_set.add(tuple((index, index+1, index+x+1, index+x))) | |
| faces.extend(list(face_set)) |
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