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Schläfli symbol
noun
Schläfli double six
noun
(geometry)
A
configuration
of
30
points
and
12
lines.
The
lines
can
be
partitioned
into
two
subsets
of
six:
each
line
is
disjoint
from
(skew
with)
the
lines
in
its
own
subset
of
six
lines,
and
intersects
all
but
one
of
the
lines
in
the
other
subset
of
six
lines.
Each
of
the
12
lines
of
the
configuration
contains
five
intersection
points,
and
each
of
these
30
intersection
points
belongs
to
exactly
two
lines,
one
from
each
subset.