# Example macro triangulation for a mesh with periodic boundaries: a
# topological torus.

DIM: 2
DIM_OF_WORLD: 2

number of elements: 8
number of vertices: 9

element vertices:
 4 0 1
 2 4 1
 4 2 5
 8 4 5
 4 8 7
 6 4 7
 4 6 3
 0 4 3

vertex coordinates:
 -1.0 -1.0  
  0.0 -1.0
  1.0 -1.0
 -1.0  0.0  
  0.0  0.0
  1.0  0.0
 -1.0  1.0  
  0.0  1.0
  1.0  1.0

# Neighbours need not be specified, but if so, then the neighbourhood
# information should treat periodic faces as interior faces. We leave
# the neighbourhood information commented out such that it can be
# determined by the geometric face transformations.

# example for a torus:
# element neighbours:
#   5  1  7
#   0  4  2
#   7  3  1
#   2  6  4
#   1  5  3
#   4  0  6
#   3  7  5
#   6  2  0

# In principle it is possible to specify boundary types for periodic
# faces; those are ignored during "normal" operation, but can be
# accessed by using the special fill-flag FILL_NON_PERIODIC during
# mesh-traversal. This is primarily meant for defining parametric
# periodic meshes: the finite element function defining the mesh
# geometry is -- of course -- not periodic.

element boundaries:
 2 0 0
 0 2 0
 1 0 0
 0 1 0
 2 0 0
 0 2 0
 1 0 0
 0 1 0

# Geometric face transformations. It is also possible to specify those
# in the application program.
#
number of wall transformations: 2

wall transformations:
# generator #1
 1 0 2
 0 1 0
 0 0 1
# generator #2
 1 0 0
 0 1 2
 0 0 1

# For each face of each element of the triangulation the number of the
# face transformation attached to it. Counting starts at 1, negative
# numbers mean the inverse. Expected is the face transformation which
# maps the macro triangulation to its neighbour across the respective
# face. It is possible to omit this section in which case the
# per-element face transformations are computed. 
#
#element wall transformations:
# -2  0  0
#  0 -2  0
#  1  0  0
#  0  1  0
#  2  0  0
#  0  2  0
# -1  0  0
#  0 -1  0
 
# Combinatorical face transformations. These, too, can be omitted.
#
# You will observe that there are "duplicate lines" below. Indeed, but
# this does not matter: you really have to group the vertex-mappings
# in pairs, the first two lines mean:
#
# "map the face defined by vertex 0 and 1 to the face defined by
# vertex 6 and 7, in that orientation".
#
#number of wall vertex transformations: 4

#wall vertex transformations:
# 0 6
# 1 7

# 1 7
# 2 8

# 0 2
# 3 5

# 3 5
# 6 8

# (X)Emacs stuff (for editing purposes)
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