add_mesh_honeycomb.py

'''# ##### BEGIN GPL LICENSE BLOCK #####
#
#  This program is free software; you can redistribute it and/or
#  modify it under the terms of the GNU General Public License
#  as published by the Free Software Foundation; either version 2
#  of the License, or (at your option) any later version.
#
#  This program is distributed in the hope that it will be useful,
#  but WITHOUT ANY WARRANTY; without even the implied warranty of
#  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
#  GNU General Public License for more details.
#
#  You should have received a copy of the GNU General Public License
#  along with this program; if not, write to the Free Software Foundation,
#  Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
#
# ##### END GPL LICENSE BLOCK #####

bl_info = {
    "name": "HoneyComb",
    "author": "Kayo Phoenix <kayo@illumium.org>",
    "version": (0, 1),
    "blender": (2, 57, 0),
    "location": "View3D > Add > Mesh > HoneyComb",
    "description": "Adds HoneyComb Mesh",
    "warning": "",
    "wiki_url": "http://wiki.blender.org/index.php/Extensions:2.5/Py/Scripts/Add_Mesh/HoneyComb",
    "category": "Add Mesh"}
'''
from math import pi, sin, cos

class honeycomb_geometry():
    def __init__(self, rows, cols, D, E):
        self.rows = rows
        self.cols = cols
        self.D = D
        self.E = E

        self.hE = 0.5 * self.E
        self.R = 0.5 * self.D

        self.a = sin(pi / 3)

        self.d = self.a * self.D
        self.hd = 0.5 * self.d
        self.e = self.hE / self.a
        self.he = 0.5 * self.e
        self.r = self.R - self.e
        self.hr = 0.5 * self.r


        self.H = self.R * (1.5 * self.rows + 0.5) + self.e
        if self.rows > 1:
            self.W = self.d * (self.cols + 0.5) + self.E
        else:
            self.W = self.d * self.cols + self.E

        self.hH = 0.5 * self.H
        self.hW = 0.5 * self.W

        self.sy = -self.hH + self.he + self.R
        self.sx = -self.hW + self.hE + self.hd

        self.gx = self.hd

        self.dy = 1.5 * self.R
        self.dx = self.d

    def vert(self, row, col):
        # full cell
        if row >= 0 and row < self.rows and col >= 0 and col < self.cols: return [0, 1, 2, 3, 4, 5]
        # right down corner
        if row == -1 and col == self.cols - 1: return [1, 2]
        if row == 0 and self.rows > 1 and col == self.cols: return [1, 2, 3]
        # left down corner
        if row == -1 and col == -1: return [0, 1]
        if self.rows % 2:
            # left up corner
            if row == self.rows and col == -1: return [4, 5]
            # right up corner
            if row == self.rows and col == self.cols - 1: return [3, 4]
            if row == self.rows - 1 and self.rows > 1 and col == self.cols: return [2, 3, 4]
        else:
            # left up corner
            if row == self.rows and col == 0: return [4, 5]
            if row == self.rows - 1 and self.rows > 1 and col == -1: return [0, 4, 5]
            # right up corner
            if row == self.rows and col == self.cols: return [3, 4]
        # horizontal lines
        if col >= 0 and col < self.cols:
            if row == -1: return [0, 1, 2]
            if row == self.rows: return [3, 4, 5]
        # vertical lines
        if row >= 0 and row < self.rows:
            if col == -1:
                if row % 2: return [0, 1, 4, 5]
                else: return [0, 5]
            if col == self.cols:
                if row % 2 or self.rows == 1: return [2, 3]
                else: return [1, 2, 3, 4]
        return []

    def cell(self, row, col, idx):
        cp = [self.sx + self.dx * col, self.sy + self.dy * row, 0] # central point
        if row % 2: cp[0] += self.gx
        co = [] # vertexes coords
        vi = self.vert(row, col)
        ap = {}

        for i in vi:
            a = pi / 6 + i * pi / 3 # angle
            ap[i] = idx + len(co)
            co.append((cp[0] + cos(a) * self.r, cp[1] + sin(a) * self.r, cp[2]))
        return co, ap

    def generate(self):
        ar = 1
        ac = 1

        cells = []
        verts = []
        faces = []

        for row in range(-ar, self.rows + ar):
            level = []
            for col in range(-ac, self.cols + ac):
                co, ap = self.cell(row, col, len(verts))
                verts += co
                level.append(ap)
            cells.append(level)

        # bottom row
        row = 0
        for col in range(1, len(cells[row]) - 1):
            s = cells[row][col]
            l = cells[row][col - 1]
            u = cells[row + 1][col]

            faces.append((s[1], u[5], u[4], s[2]))
            faces.append((s[2], u[4], l[0]))

        # top row
        row = len(cells) - 1
        cs = 0
        if row % 2: cs += 1
        for col in range(1 + cs, len(cells[row]) - 1):
            s = cells[row][col]
            l = cells[row][col - 1]
            d = cells[row - 1][col - cs]
            faces.append((s[3], l[5], d[1]))
            faces.append([s[3], d[1], d[0], s[4]])

        # middle rows
        for row in range(1, len(cells) - 1):
            cs = 0
            if row % 2: cs += 1
            for col in range(1, len(cells[row]) - 1):
                s = cells[row][col]
                l = cells[row][col - 1]
                u = cells[row + 1][col - cs]
                d = cells[row - 1][col - cs]

                faces.append((s[1], u[5], u[4], s[2]))
                faces.append((s[2], u[4], l[0]))
                faces.append([s[2], l[0], l[5], s[3]])
                faces.append((s[3], l[5], d[1]))
                faces.append([s[3], d[1], d[0], s[4]])

        # right column
        row = 0
        col = len(cells[row]) - 1
        for row in range(1, len(cells) - 1):
            cs = 0
            if row % 2: cs += 1

            s = cells[row][col]
            l = cells[row][col - 1]
            u = cells[row + 1][col - cs]
            d = cells[row - 1][col - cs]

            if row % 2 and row < len(cells) - 2:
                faces.append((s[1], u[5], u[4], s[2]))
            faces.append((s[2], u[4], l[0]))
            faces.append([s[2], l[0], l[5], s[3]])
            faces.append((s[3], l[5], d[1]))
            if row % 2 and row > 1:
                faces.append([s[3], d[1], d[0], s[4]])

        # final fix
        if not self.rows % 2:
            row = len(cells) - 1
            s = cells[row][col]
            l = cells[row][col - 1]
            d = cells[row - 1][col - 1]
            faces.append((s[3], l[5], d[1]))
            faces.append([s[3], d[1], d[0], s[4]])

        return verts, faces

import bpy
from bpy.props import *
from bpy_extras import object_utils

def edge_max(diam):
    return diam * sin(pi / 3)

class add_mesh_honeycomb(bpy.types.Operator):
    """Simple honeycomb mesh generator"""
    bl_idname = 'mesh.honeycomb_add'
    bl_label = 'Add HoneyComb'
    bl_options = {'REGISTER', 'UNDO'}

    rows = IntProperty(
        name = 'Num of rows', default = 2,
        min = 1, max = 100,
        description='Number of the rows')

    cols = IntProperty(
        name = 'Num of cols', default = 2,
        min = 1, max = 100,
        description='Number of the columns')

    def fix_edge(self, context):
        m = edge_max(self.diam)
        if self.edge > m: self.edge = m

    diam = FloatProperty(
        name = 'Cell Diameter', default = 1.0,
        min = 0.0, update = fix_edge,
        description='Diameter of the cell')

    edge = FloatProperty(
        name = 'Edge Width', default = 0.1,
        min = 0.0, update = fix_edge,
        description='Width of the edge')

    # generic transform props
    view_align = BoolProperty(
        name="Align to View",
        default=False)
    location = FloatVectorProperty(
        name="Location",
        subtype='TRANSLATION')
    rotation = FloatVectorProperty(
        name="Rotation",
        subtype='EULER')

    ##### POLL #####
    @classmethod
    def poll(cls, context):
        return context.scene is not None

    ##### EXECUTE #####
    def execute(self, context):
        mesh = bpy.data.meshes.new(name='honeycomb')

        comb = honeycomb_geometry(self.rows, self.cols, self.diam, self.edge)
        verts, faces = comb.generate()

        mesh.from_pydata(vertices = verts, edges = [], faces = faces)
        mesh.update()

        object_utils.object_data_add(context, mesh, operator=self)

        return {'FINISHED'}
'''
def menu_func(self, context):
    self.layout.operator(add_mesh_honeycomb.bl_idname, text = bl_info['name'], icon="PLUGIN")

def register():
    bpy.utils.register_module(__name__)

    bpy.types.INFO_MT_mesh_add.append(menu_func)

def unregister():
    bpy.utils.unregister_module(__name__)

    bpy.types.INFO_MT_mesh_add.remove(menu_func)

if __name__ == "__main__":
    register()
'''