Simple example of a filtered triangle is given in
`examples/triangle/triangle.cpp`

. Its equivalent in Python appears in
`examples/triangle/triangle.py`

, and we describe it next.

```
from dionysus import Simplex, Filtration, StaticPersistence, \
vertex_cmp, data_cmp, data_dim_cmp \
complex = [Simplex((0,), 0), # A
Simplex((1,), 1), # B
Simplex((2,), 2), # C
Simplex((0,1), 2.5), # AB
Simplex((1,2), 2.9), # BC
Simplex((0,2), 3.5), # CA
Simplex((0,1,2), 5)] # ABC
print "Complex:", complex
print "Vertex: ", sorted(complex, vertex_cmp)
print "Data: ", sorted(complex, data_cmp)
print "DataDim:", sorted(complex, data_dim_cmp)
f = Filtration(complex, data_cmp)
print "Complex in the filtration order:", ', '.join((str(s) for s in f))
p = StaticPersistence(f)
print "Persistence initialized"
p.pair_simplices(True)
print "Simplices paired"
smap = p.make_simplex_map(f)
for i in p:
print i.sign(), i.pair().sign()
print "%s (%d) - %s (%d)" % (smap[i], i.sign(), smap[i.pair()], i.pair().sign())
print "Cycle (%d):" % len(i.cycle), " + ".join((str(smap[ii]) for ii in i.cycle))
print "Number of unpaired simplices:", len([i for i in p if i.unpaired()])
```

After the necessary imports, the `complex`

is setup explicitly as a list of
simplices. Each `Simplex`

constructor takes an iterable sequence of
vertices, and optionally a data value.

A filtration `f`

is initialized using the `Filtration`

class, which
takes a list of simplices (or anything iterable) and a comparison that defines
in what order the simplices should come in the filtration. In this case we use
`data_cmp()`

, which simply compares simplicesâ€™ `data`

attributes.

`StaticPersistence`

is initialized with the filtration, and its method
`pair_simplices()`

pairs the simplices of the
filtration:

```
p = StaticPersistence(f)
p.pair_simplices()
```

Subsequently, we iterate over `p`

to access a representation of each simplex
in the filtration order. We output each simplex, its sign, and its pair. The auxilliary
`smap = p.make_simplex_map(f)`

remaps the indices of `StaticPersistence`

into
the simplices in the filtration.
Naturally, one could use this to access the
`data`

attribute of the simplices to output the actual
persistence diagram, as is done in the Alpha shape example and the
Rips complex example.