  For real numbers a, b> 1, let as a_b denote the result of interpreting a in
base b instead of base 10. We define ``dungeons'' (as opposed to ``towers'') to
be numbers of the form a_b_c_d_..._e, parenthesized either from the bottom
upwards (preferred) or from the top downwards. Among other things, we show that
the sequences of dungeons with n-th terms 10_11_12_..._(n-1)_n or
n_(n-1)_..._12_11_10 grow roughly like 10^{10^{n log log n}}, where the
logarithms are to the base 10. We also investigate the behavior as n increases
of the sequence a_a_a_..._a, with n a's, parenthesized from the bottom upwards.
This converges either to a single number (e.g. to the golden ratio if a = 1.1),
to a two-term limit cycle (e.g. if a = 1.05) or else diverges (e.g. if a =
frac{100{99).
