  An application of (iterated) Bauer-Muir acceleration can give an Ap\'ery-like
continued fraction for $\pi$ with irrational coefficients, and much faster
convergence. It can be considered a generalized continued fraction with the
same matrix representation as the standard case, but the dimension increased
due to irrationality. The construction is also given for $\ln(2)$ and
$\sqrt[3]{2}$.
