I have performed scaling tests using quenched spectroscopy of a family
of fermion actions which have a hypercubic kinetic term, gauge connec
tions built of smeared links, and an anomalous magnetic moment term. T
hese actions show improved rotational invariance compared to the stand
ard Wilson action and to the tadpole-improved clover action. Hyperfine
splittings are improved compared to the standard Wilson action (at th
e level of a factor of three in the lattice spacing), and are about th
e same as for the tadpole-improved clover action. [S0556-2821(98)01221
-1].