# $Id: 954dbe2 on Mon Mar 25 13:11:26 2013 +0100 by Benedict Verhegghe $
##
##  This file is part of pyFormex 0.9.1  (Tue Oct 15 21:05:25 CEST 2013)
##  pyFormex is a tool for generating, manipulating and transforming 3D
##  geometrical models by sequences of mathematical operations.
##  Home page: http://pyformex.org
##  Project page:  http://savannah.nongnu.org/projects/pyformex/
##  Copyright 2004-2013 (C) Benedict Verhegghe (benedict.verhegghe@ugent.be)
##  Distributed under the GNU General Public License version 3 or later.
##
##  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 3 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, see http://www.gnu.org/licenses/.
##
"""Torus

"""
from __future__ import print_function
_status = 'checked'
_level = 'beginner'
_topics = ['geometry']
_techniques = ['color']

from gui.draw import *

def run():
    m = 36 # number of cells along torus big circle
    n = 36 # number of cells along torus small circle
    message("Create a triangle with three colored members")
    F = Formex('l:164',[1,2,3])
    clear();draw(F);pause()
    message("Replicate it into a rectangular pattern")
    F = F.replic2(m,n,1,1)
    clear();draw(F);pause()
    message("Fold the rectangle into a tube")
    G = F.translate(2,1).cylindrical([2,1,0],[1.,360./n,1.])
    clear();draw(G,view='right');pause()
    message("Bend the tube into a torus with mean radius 5")
    H = G.translate(0,5).cylindrical([0,2,1],[1.,360./m,1.])
    clear();draw(H,view='iso');pause()
    message("Cut a part from the torus")

    K = H.cutWithPlane([0.,2.,0.],[1.,1.,1.],side='-')
    clear()
    draw(K)

if __name__ == 'draw':
    run()
# End

