def generate_polygon_on_xz_side_length(edges,side_length,offset=0) :
''' Return an polygon on plan XZ: with edges edges from length side_length, with offset offset.
z
/
_____/____x
/
/ plan XZ.
'''
angle=360.0/side_length
polygon=[] # Polygon vertice container.
scale=360.0/edges # Computing of the angle separating 2 points from the polygon.
start_vertex1=Vertex(-side_length/2.,0.0,0)
start_vertex2=Vertex(side_length/2.,0.0,0)
point_to_rotate=start_vertex1
rotate_point=start_vertex2
polygon.append(point_to_rotate)
polygon.append(rotate_point)
i=2
while i < edges :
vertex=rotate_on_xz(rotate_point,abs(180-scale),point_to_rotate)
point_to_rotate=rotate_point
rotate_point=vertex
polygon.append(vertex)
i += 1
center=get_center_from_polygon(polygon) # Compute polygon center.
tmp=[]
for v in polygon :
# Translate polygon vertices so as his center is the display center.
tmp.append(translate(v,-center.wx,-center.wy,-center.wz))
if offset :
offset_set=[]
for v in tmp :
offset_set.append(rotate_y(v,offset))
tmp=offset_set
polygon=tmp
return polygon
def generate_dodecahedron(side_length):
''' Generate an dodecahedron in relationship to the argument side_length
taken as basis for the dodecahedron generation.
And return an sequence of pentagons composing the dodecahedron. '''
####################################################################
# The commented print directives are set to made the evidence that #
# the dodecahedron is not regular: #
# for every pentagon there one only segment length which is not #
# equal to the others and i don't know why. #
# The theorie from the icosahedron face center, #
# issue from the book from Marius Apetri doesn't work like it #
# should. Maybe my implementation from the concept. #
# If you find an answers thank's to contact me by #
# mail: [email protected] #
####################################################################
ico = generate_icosahedron(side_length)[1]
dodecahedron = [] # Define the pentagones contains array container.
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[0]))
pentagone.append(get_center_from_polygon(ico[5]))
pentagone.append(get_center_from_polygon(ico[1]))
pentagone.append(get_center_from_polygon(ico[6]))
pentagone.append(get_center_from_polygon(ico[2]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "1"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[0]),get_center_from_polygon(ico[5]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[5]),get_center_from_polygon(ico[1]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[1]),get_center_from_polygon(ico[6]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[6]),get_center_from_polygon(ico[2]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[0]),get_center_from_polygon(ico[2]))
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[9]))
pentagone.append(get_center_from_polygon(ico[3]))
pentagone.append(get_center_from_polygon(ico[7]))
pentagone.append(get_center_from_polygon(ico[19]))
pentagone.append(get_center_from_polygon(ico[13]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "2"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[9]),get_center_from_polygon(ico[3]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[3]),get_center_from_polygon(ico[7]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[7]),get_center_from_polygon(ico[19]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[19]),get_center_from_polygon(ico[13]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[13]),get_center_from_polygon(ico[9]))
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[9]))
pentagone.append(get_center_from_polygon(ico[14]))
pentagone.append(get_center_from_polygon(ico[16]))
pentagone.append(get_center_from_polygon(ico[4]))
pentagone.append(get_center_from_polygon(ico[3]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "3"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[9]),get_center_from_polygon(ico[14]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[14]),get_center_from_polygon(ico[16]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[16]),get_center_from_polygon(ico[4]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[4]),get_center_from_polygon(ico[3]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[3]),get_center_from_polygon(ico[9]))
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[0]))
pentagone.append(get_center_from_polygon(ico[2]))
pentagone.append(get_center_from_polygon(ico[7]))
pentagone.append(get_center_from_polygon(ico[3]))
pentagone.append(get_center_from_polygon(ico[4]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "4"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[0]),get_center_from_polygon(ico[2]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[2]),get_center_from_polygon(ico[7]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[7]),get_center_from_polygon(ico[3]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[3]),get_center_from_polygon(ico[4]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[4]),get_center_from_polygon(ico[0]))
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[5]))
pentagone.append(get_center_from_polygon(ico[0]))
pentagone.append(get_center_from_polygon(ico[4]))
pentagone.append(get_center_from_polygon(ico[16]))
pentagone.append(get_center_from_polygon(ico[17]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "5"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[5]),get_center_from_polygon(ico[0]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[0]),get_center_from_polygon(ico[4]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[4]),get_center_from_polygon(ico[16]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[16]),get_center_from_polygon(ico[17]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[17]),get_center_from_polygon(ico[5]))
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[17]))
pentagone.append(get_center_from_polygon(ico[5]))
pentagone.append(get_center_from_polygon(ico[1]))
pentagone.append(get_center_from_polygon(ico[11]))
pentagone.append(get_center_from_polygon(ico[15]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "6"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[17]),get_center_from_polygon(ico[5]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[5]),get_center_from_polygon(ico[1]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[1]),get_center_from_polygon(ico[11]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[11]),get_center_from_polygon(ico[15]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[15]),get_center_from_polygon(ico[17]))
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[15]))
pentagone.append(get_center_from_polygon(ico[17]))
pentagone.append(get_center_from_polygon(ico[16]))
pentagone.append(get_center_from_polygon(ico[14]))
pentagone.append(get_center_from_polygon(ico[10]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "7"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[15]),get_center_from_polygon(ico[17]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[17]),get_center_from_polygon(ico[16]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[16]),get_center_from_polygon(ico[14]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[14]),get_center_from_polygon(ico[10]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[15]),get_center_from_polygon(ico[10]))
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[10]))
pentagone.append(get_center_from_polygon(ico[14]))
pentagone.append(get_center_from_polygon(ico[9]))
pentagone.append(get_center_from_polygon(ico[13]))
pentagone.append(get_center_from_polygon(ico[8]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "8"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[10]),get_center_from_polygon(ico[14]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[14]),get_center_from_polygon(ico[9]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[9]),get_center_from_polygon(ico[13]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[13]),get_center_from_polygon(ico[8]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[8]),get_center_from_polygon(ico[10]))
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[8]))
pentagone.append(get_center_from_polygon(ico[10]))
pentagone.append(get_center_from_polygon(ico[15]))
pentagone.append(get_center_from_polygon(ico[11]))
pentagone.append(get_center_from_polygon(ico[12]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "9"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[8]),get_center_from_polygon(ico[10]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[10]),get_center_from_polygon(ico[15]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[15]),get_center_from_polygon(ico[11]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[11]),get_center_from_polygon(ico[12]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[12]),get_center_from_polygon(ico[8]))
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[11]))
pentagone.append(get_center_from_polygon(ico[12]))
pentagone.append(get_center_from_polygon(ico[18]))
pentagone.append(get_center_from_polygon(ico[6]))
pentagone.append(get_center_from_polygon(ico[1]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "10"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[11]),get_center_from_polygon(ico[12]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[12]),get_center_from_polygon(ico[18]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[18]),get_center_from_polygon(ico[6]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[6]),get_center_from_polygon(ico[1]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[1]),get_center_from_polygon(ico[11]))
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[12]))
pentagone.append(get_center_from_polygon(ico[18]))
pentagone.append(get_center_from_polygon(ico[19]))
pentagone.append(get_center_from_polygon(ico[13]))
pentagone.append(get_center_from_polygon(ico[8]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "11"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[12]),get_center_from_polygon(ico[18]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[18]),get_center_from_polygon(ico[19]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[19]),get_center_from_polygon(ico[13]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[13]),get_center_from_polygon(ico[8]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[8]),get_center_from_polygon(ico[12]))
pentagone = [] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[6]))
pentagone.append(get_center_from_polygon(ico[2]))
pentagone.append(get_center_from_polygon(ico[7]))
pentagone.append(get_center_from_polygon(ico[19]))
pentagone.append(get_center_from_polygon(ico[18]))
dodecahedron.append(
pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "12"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[6]),get_center_from_polygon(ico[2]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[2]),get_center_from_polygon(ico[7]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[7]),get_center_from_polygon(ico[19]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[19]),get_center_from_polygon(ico[18]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[18]),get_center_from_polygon(ico[6]))
return dodecahedron
def generate_dodecahedron(side_length) :
''' Generate an dodecahedron in relationship to the argument side_length
taken as basis for the dodecahedron generation.
And return an sequence of pentagons composing the dodecahedron. '''
####################################################################
# The commented print directives are set to made the evidence that #
# the dodecahedron is not regular: #
# for every pentagon there one only segment length which is not #
# equal to the others and i don't know why. #
# The theorie from the icosahedron face center, #
# issue from the book from Marius Apetri doesn't work like it #
# should. Maybe my implementation from the concept. #
# If you find an answers thank's to contact me by #
# mail: [email protected] #
####################################################################
ico=generate_icosahedron(side_length)[1]
dodecahedron=[] # Define the pentagones contains array container.
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[0]))
pentagone.append(get_center_from_polygon(ico[5]))
pentagone.append(get_center_from_polygon(ico[1]))
pentagone.append(get_center_from_polygon(ico[6]))
pentagone.append(get_center_from_polygon(ico[2]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "1"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[0]),get_center_from_polygon(ico[5]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[5]),get_center_from_polygon(ico[1]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[1]),get_center_from_polygon(ico[6]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[6]),get_center_from_polygon(ico[2]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[0]),get_center_from_polygon(ico[2]))
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[9]))
pentagone.append(get_center_from_polygon(ico[3]))
pentagone.append(get_center_from_polygon(ico[7]))
pentagone.append(get_center_from_polygon(ico[19]))
pentagone.append(get_center_from_polygon(ico[13]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "2"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[9]),get_center_from_polygon(ico[3]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[3]),get_center_from_polygon(ico[7]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[7]),get_center_from_polygon(ico[19]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[19]),get_center_from_polygon(ico[13]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[13]),get_center_from_polygon(ico[9]))
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[9]))
pentagone.append(get_center_from_polygon(ico[14]))
pentagone.append(get_center_from_polygon(ico[16]))
pentagone.append(get_center_from_polygon(ico[4]))
pentagone.append(get_center_from_polygon(ico[3]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "3"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[9]),get_center_from_polygon(ico[14]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[14]),get_center_from_polygon(ico[16]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[16]),get_center_from_polygon(ico[4]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[4]),get_center_from_polygon(ico[3]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[3]),get_center_from_polygon(ico[9]))
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[0]))
pentagone.append(get_center_from_polygon(ico[2]))
pentagone.append(get_center_from_polygon(ico[7]))
pentagone.append(get_center_from_polygon(ico[3]))
pentagone.append(get_center_from_polygon(ico[4]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "4"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[0]),get_center_from_polygon(ico[2]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[2]),get_center_from_polygon(ico[7]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[7]),get_center_from_polygon(ico[3]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[3]),get_center_from_polygon(ico[4]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[4]),get_center_from_polygon(ico[0]))
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[5]))
pentagone.append(get_center_from_polygon(ico[0]))
pentagone.append(get_center_from_polygon(ico[4]))
pentagone.append(get_center_from_polygon(ico[16]))
pentagone.append(get_center_from_polygon(ico[17]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "5"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[5]),get_center_from_polygon(ico[0]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[0]),get_center_from_polygon(ico[4]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[4]),get_center_from_polygon(ico[16]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[16]),get_center_from_polygon(ico[17]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[17]),get_center_from_polygon(ico[5]))
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[17]))
pentagone.append(get_center_from_polygon(ico[5]))
pentagone.append(get_center_from_polygon(ico[1]))
pentagone.append(get_center_from_polygon(ico[11]))
pentagone.append(get_center_from_polygon(ico[15]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "6"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[17]),get_center_from_polygon(ico[5]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[5]),get_center_from_polygon(ico[1]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[1]),get_center_from_polygon(ico[11]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[11]),get_center_from_polygon(ico[15]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[15]),get_center_from_polygon(ico[17]))
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[15]))
pentagone.append(get_center_from_polygon(ico[17]))
pentagone.append(get_center_from_polygon(ico[16]))
pentagone.append(get_center_from_polygon(ico[14]))
pentagone.append(get_center_from_polygon(ico[10]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "7"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[15]),get_center_from_polygon(ico[17]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[17]),get_center_from_polygon(ico[16]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[16]),get_center_from_polygon(ico[14]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[14]),get_center_from_polygon(ico[10]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[15]),get_center_from_polygon(ico[10]))
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[10]))
pentagone.append(get_center_from_polygon(ico[14]))
pentagone.append(get_center_from_polygon(ico[9]))
pentagone.append(get_center_from_polygon(ico[13]))
pentagone.append(get_center_from_polygon(ico[8]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "8"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[10]),get_center_from_polygon(ico[14]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[14]),get_center_from_polygon(ico[9]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[9]),get_center_from_polygon(ico[13]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[13]),get_center_from_polygon(ico[8]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[8]),get_center_from_polygon(ico[10]))
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[8]))
pentagone.append(get_center_from_polygon(ico[10]))
pentagone.append(get_center_from_polygon(ico[15]))
pentagone.append(get_center_from_polygon(ico[11]))
pentagone.append(get_center_from_polygon(ico[12]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "9"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[8]),get_center_from_polygon(ico[10]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[10]),get_center_from_polygon(ico[15]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[15]),get_center_from_polygon(ico[11]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[11]),get_center_from_polygon(ico[12]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[12]),get_center_from_polygon(ico[8]))
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[11]))
pentagone.append(get_center_from_polygon(ico[12]))
pentagone.append(get_center_from_polygon(ico[18]))
pentagone.append(get_center_from_polygon(ico[6]))
pentagone.append(get_center_from_polygon(ico[1]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "10"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[11]),get_center_from_polygon(ico[12]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[12]),get_center_from_polygon(ico[18]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[18]),get_center_from_polygon(ico[6]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[6]),get_center_from_polygon(ico[1]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[1]),get_center_from_polygon(ico[11]))
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[12]))
pentagone.append(get_center_from_polygon(ico[18]))
pentagone.append(get_center_from_polygon(ico[19]))
pentagone.append(get_center_from_polygon(ico[13]))
pentagone.append(get_center_from_polygon(ico[8]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "11"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[12]),get_center_from_polygon(ico[18]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[18]),get_center_from_polygon(ico[19]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[19]),get_center_from_polygon(ico[13]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[13]),get_center_from_polygon(ico[8]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[8]),get_center_from_polygon(ico[12]))
pentagone=[] # Define an pentagone temporary container.
pentagone.append(get_center_from_polygon(ico[6]))
pentagone.append(get_center_from_polygon(ico[2]))
pentagone.append(get_center_from_polygon(ico[7]))
pentagone.append(get_center_from_polygon(ico[19]))
pentagone.append(get_center_from_polygon(ico[18]))
dodecahedron.append(pentagone) # Add pentagone to dodecahedron pentagones container.
# print 80*'-'
# print "12"
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[6]),get_center_from_polygon(ico[2]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[2]),get_center_from_polygon(ico[7]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[7]),get_center_from_polygon(ico[19]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[19]),get_center_from_polygon(ico[18]))
# print "get length ",get_distance_vertices(get_center_from_polygon(ico[18]),get_center_from_polygon(ico[6]))
return dodecahedron
