from math import sqrt
from tessagon.core.tile import Tile
from tessagon.core.tessagon import Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Other Pentagons',
classification='laves',
shapes=['pentagons'],
sides=[5])
class Penta2Tile(Tile):
# 11 verts, 6 faces (2 internal, 4 on boundary)
#
# O---O
# |...|
# O...O
# .\./.
# ^ ..O..
# | ..|..
# | --O--
# | ..|..
# ..O..
# V ./.\.
# O...O
# |...|
# O---O
#
# U ----->
def __init__(self, tessagon, **kwargs):
from tessagon.core.tessagon import Tessagon
from tessagon.core.tile import Tile
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Regular Triangles',
num_color_patterns=3,
classification='regular',
shapes=['triangles'],
sides=[3])
class TriTile(Tile):
# ^ 0.|.1 This is the topology of the tile.
# | |\|/| (Not a Dead Kennedy's logo ...).
# | |.2.|
# | |/|\|
# V 3.|.4
#
# U ----->
def __init__(self, tessagon, **kwargs):
super().__init__(tessagon, **kwargs)
self.u_symmetric = True
self.v_symmetric = True
def init_verts(self):
return {
'left': {
'top': None,
'bottom': None
from math import sqrt
from tessagon.core.tile import Tile
from tessagon.core.tessagon import Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Dodecagons and Triangles',
classification='archimedean',
shapes=['dodecagons', 'triangles'],
sides=[12, 3])
class DodecaTriTile(Tile):
# 14 verts, 11 faces (3 internal, 8 on boundary)
# The angles make it hard to draw all edges, some excluded
# . ....|3.o---o.3|......
# ^ . o o .
# | . 12 / \ 12 .
# | . o o .
# | .-o3| 12 |3o-. Number is verts in face
# | . o o .
# . \ / .
# V . 12 o o 12 .
# . ....|3.o---o.3|......
#
# U ---->
def __init__(self, tessagon, **kwargs):
super().__init__(tessagon, **kwargs)
self.u_symmetric = True
self.v_symmetric = True
from tessagon.core.tile import Tile
from tessagon.core.tessagon import Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Bricks',
classification='non_edge',
shapes=['rectangles'],
sides=[4])
class BrickTile(Tile):
# top
#
# -o..o- -o..o- r
# ^ .|..|. l .|..|. i
# | .o--o. e .o--o. g
# | .|..|. f .|..|. h
# | -o..o- t -o..o- t
# V
# U ---> bottom
def __init__(self, tessagon, **kwargs):
super().__init__(tessagon, **kwargs)
self.u_symmetric = True
self.v_symmetric = True
def init_verts(self):
return {
'left': {
'top': None,
'middle': None,
from math import sqrt
from tessagon.core.tile import Tile
from tessagon.core.tessagon import Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
# TODO: gulp, 'octagon' does not begin with 'octo'
metadata = TessagonMetadata(name='Octagons and Squares',
classification='archimedean',
shapes=['octagons', 'squares'],
sides=[8, 4])
class OctoTile(Tile):
# ^ ..o-o..
# | ./...\.
# | o.....o
# | |.....|
# | o.....o
# | .\.../.
# ..o-o..
# V
# U ---->
CORNER_TO_VERT_RATIO = 1.0 / (2.0 + sqrt(2))
def __init__(self, tessagon, **kwargs):
super().__init__(tessagon, **kwargs)
self.u_symmetric = True
self.v_symmetric = True
from tessagon.types.dissected_hex_quad_tessagon import DissectedHexQuadTile
from tessagon.core.tessagon import Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Hexagons Dissected with Triangles',
classification='laves',
shapes=['triangles'],
sides=[3])
# Uses the same configuration of vertices as DissectedHexQuadTile
class DissectedHexTriTile(DissectedHexQuadTile):
# 19 verts, 24 internal triangle faces
#
# O+++++++++++++++++++O+++++++++++++++++++O
# ++ ++ + ++ ++
# + + ++ + ++ + +
# + + ++ + ++ + +
# + + + + + + +
# + + ++ + ++ + +
# + + +O+ + +
# + + ++ + ++ + +
# + + ++ + ++ + +
# + ++O + O++ +
# + ++ + + + ++ +
# +++ ++ + ++ +++
# O+ + + + +O
# + ++ + + + ++ +
# + ++ + + + ++ +
# + ++ + + + ++ +
from tessagon.core.tile import Tile
from tessagon.core.tessagon import Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Hexagons Dissected with Quads',
classification='laves',
shapes=['quads'],
sides=[4])
class DissectedHexQuadTile(Tile):
# 19 verts, 14 quad faces (10 internal, 4 on boundary)
#
# O+++++++++++++++++++O+++++++++++++++++++O
# + + +
# + + +
# + + +
# + + +
# + + +
# + +O+ +
# + ++ ++ +
# + ++ ++ +
# ++O O++
# ++ + + ++
# ++ ++ ++ ++
# O + + O
# + + + +
# + + + +
# + + + +
# + + + +
# O+++++++++++++++++++O+++++++++++++++++++O
from tessagon.core.tessagon import Tessagon
from tessagon.core.tile import Tile
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Regular Squares',
num_color_patterns=8,
classification='regular',
shapes=['squares'],
sides=[4])
class SquareTile(Tile):
def __init__(self, tessagon, **kwargs):
super().__init__(tessagon, **kwargs)
self.u_symmetric = True
self.v_symmetric = True
def init_verts(self):
return {
'top': {
'left': None,
'right': None
},
'bottom': {
'left': None,
'right': None
}
}
def init_faces(self):
return {'middle': None}
from tessagon.core.stamp14_tessagon \
import Stamp14, Stamp14Tile, Stamp14Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Hexagons and Big Triangles',
classification='non_edge',
shapes=['hexagons', 'triangles'],
sides=[6, 3])
# To get a sense of how Thingies repeat over tiles, see:
# https://github.com/cwant/tessagon/blob/master/documentation/images/thingies_repeat.png
# To see how the Thingies are arranged on a tile, see:
# https://github.com/cwant/tessagon/blob/master/documentation/images/thingies_tiles.png
# To see how Thingy neighbors, verts and faces are arranged, see:
# https://github.com/cwant/tessagon/blob/master/documentation/images/thingies_neighbors_verts_faces.png
class Thingy(Stamp14):
def init_verts(self):
return [None]*13
def init_faces(self):
return [None]*3
def calculate_verts(self):
unit_u = 1.0 / 14.0
unit_v = 1.0 / 14.0
# Hexagon (face 0)
d_u = unit_u
d_v = unit_v
from tessagon.core.tile import Tile
from tessagon.core.tessagon import Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Pythagorean',
classification='non_edge',
shapes=['squares'],
sides=[4])
class PythagoreanTile(Tile):
# 29 verts in six rows, six columns
# 12 faces (2 sets shared with neighbors)
#
# o...o-o-o-o row6 o.1.o-o-o-o
# |...|.|...| |...|2|...|
# o-o-o-o...o row5 o-o-o-o.3.o
# ^ |.|...|...| |4|...|...|
# | o-o...o-o-o row4 o-o.5.o-o-o
# | ..|...|.|.. ..|...|7|..
# | ..o-o-o-o.. row3 6.o-o-o-o.8
# ..|.|...|.. ..|9|...|..
# V o-o-o...o-o row2 o-o-o10.o-o
# |...|...|.| |...|...12|
# o...o-o-o-o row1 o11.o-o-o-o
#
# 1 2 3 4 5 6 <-cols
#
# U ------>
def init_verts(self):
from tessagon.core.tile import Tile
from tessagon.core.tessagon import Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Weave',
classification='non_edge',
shapes=['quads', 'rectangles'],
sides=[4])
class WeaveTile(Tile):
# 16 verts, 13 faces (5 internal, 8 on boundary)
#
# ....|..|.... .8..|.8|.8..
# -o--o..o--o- -o--o..o--o-
# ^ .|..|..|..|. .|4.|..|4.|.
# | .o--o--o--o. .o--o--o--o.
# | .|........|. 8|...8....|8
# | .o--o--o--o. .o--o--o--o.
# .|..|..|..|. .|4.|..|4.|.
# V -o--o..o--o. -o--o..o--o.
# ....|..|.... 8...|8.|...8
#
# U ----->
def __init__(self, tessagon, **kwargs):
super().__init__(tessagon, **kwargs)
self.u_symmetric = True
self.v_symmetric = True
def init_verts(self):
from tessagon.core.tessagon import Tessagon
from tessagon.core.tile import Tile
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Regular Hexagons',
num_color_patterns=2,
classification='regular',
shapes=['hexagons'],
sides=[6])
class HexTile(Tile):
# VERTS:
# ..|..
# ..a.. a = ['top', 'center']
# ^ ./.\. b = ['top', 'left']
# | b...c c = ['top', 'right']
# | |...| d = ['bottom', 'left']
# | d...e e = ['bottom', 'right']
# | .\./. f = ['bottom', 'center']
# ..f..
# V ..|..
#
# U --->
# FACES:
# A.|.B
# ..o.. A = ['top', 'left']
# ^ ./.\. B = ['top', 'right']
# | o...o C = ['middle']
# | |.C.| D = ['bottom', 'left']
from tessagon.core.stamp14_tessagon \
import Stamp14, Stamp14Tile, Stamp14Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Florets',
num_color_patterns=3,
classification='laves',
shapes=['pentagons'],
sides=[5])
# To get a sense of how Florets repeat over tiles, see:
# https://github.com/cwant/tessagon/blob/master/documentation/images/florets_repeat.png
# To see how the Florets are arranged on a tile, see:
# https://github.com/cwant/tessagon/blob/master/documentation/images/florets_tiles.png
# To see how Floret neighbors, verts and faces are arranged, see:
# https://github.com/cwant/tessagon/blob/master/documentation/images/florets_neighbors_verts_faces.png
class Floret(Stamp14):
def init_verts(self):
return [None]*19
def init_faces(self):
return [None]*6
def add_offset_vert(self, i, offset_u, offset_v):
vert = super().add_offset_vert(i, offset_u, offset_v)
if vert:
if i == 18:
self.tile.tessagon.vert_types['center'].append(vert)
elif i % 3 == 2:
from tessagon.core.tessagon import Tessagon
from tessagon.core.tile import Tile
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Dissected Square',
num_color_patterns=2,
classification='laves',
shapes=['triangles'],
sides=[3])
class DissectedSquareTile(Tile):
# VERTS: a = ['top', 'left']
# a---b---c b = ['top', 'center']
# ^ |\..|../| c = ['top', 'right']
# | |.\.|./.| d = ['middle', 'left']
# | d---e---f e = ['middle', 'center']
# | |../|\..| f = ['middle', 'right']
# |./.|.\.| g = ['bottom', 'left']
# V g---h---i h = ['bottom', 'center']
# i = ['bottom', 'right']
# U --->
# FACES:
# o---o---o A = ['top', 'left', 'middle']
# ^ |\.B|C./| B = ['top', 'left', 'center']
# | |A\.|./D| C = ['top', 'right', 'center']
# | o---o---o D = ['top', 'right', 'middle']
# | |E./|\.H| E = ['bottom', 'left', 'middle']
# |./F|G\.| F = ['bottom', 'left', 'center']
from math import sqrt
from tessagon.core.tile import Tile
from tessagon.core.tessagon import Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Hexagons, Squares, and Triangles',
classification='archimedean',
shapes=['hexagons', 'squares', 'triangles'],
sides=[6, 4, 3])
class HexSquareTriTile(Tile):
# 14 verts, 19 faces (7 internal, 12 on boundary)
# The angles make it hard to draw all edges, some excluded
#
# ...|...|... 6..|.4.|..6
# ...o---o... ...o---o...
# ^ o ..\./...o o.4.\3/.4.o
# | .\...o.../. 3\...o.../3 Numbers are faces with # sides
# | --o.....o-- --o.....o--
# | ..|.....|.. 4.|..6..|.4
# | --o.... o-- --o.... o--
# ./.. o...\. 3/.. o...\3
# V o.../.\...o o.4./3\.4.o
# ...o---o... ...o---o...
# ...|...|... 6..|.4.|..6
#
# U ---->
def __init__(self, tessagon, **kwargs):
super().__init__(tessagon, **kwargs)
from math import sqrt
from tessagon.core.tile import Tile
from tessagon.core.tessagon import Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Squares and Triangles',
classification='archimedean',
shapes=['squares', 'triangles'],
sides=[4, 3])
class SquareTriTile(Tile):
# 12 verts, 16 faces (8 internal, 8 on boundary)
# The angles make it hard to draw all edges, some excluded
#
#
# ^ ..o..|..o.. 3.o.3|3.o.3
# | ./...o...\. ./...o...\.
# | o.../.\...o o.4./3\.4.o
# | ...o---o... .3.o---o.3.
# o...\./...o o.4.\3/.4.o
# V .\...o.../. .\...o.../.
# ..o..|..o.. 3.o.3|3.o.3
# U ----->
def __init__(self, tessagon, **kwargs):
super().__init__(tessagon, **kwargs)
self.u_symmetric = True
self.v_symmetric = True
def init_verts(self):
from tessagon.core.tile import Tile
from tessagon.core.tessagon import Tessagon
from tessagon.core.tessagon_metadata import TessagonMetadata
metadata = TessagonMetadata(name='Rhombuses',
classification='laves',
shapes=['rhombuses'],
sides=[4])
class RhombusTile(Tile):
# ..o..
# ./|\.
# o.|.o
# ^ |.o.|
# | |/.\|
# | o...o
# | |\./|
# | |.o.|
# | o.|.o
# .\|/.
# V ..o..
#
# U --->
def __init__(self, tessagon, **kwargs):
super().__init__(tessagon, **kwargs)
self.u_symmetric = True
self.v_symmetric = True
def init_verts(self):