Hello there robk,
That kind of waveform comes from super cycle oscillation.
The cause of that is usually the wrong inductor choice,
but if it doesnt cause excessive heating of the
transistor there is a chance it could still work.
It would be a good idea to check the efficiency however,
to make sure you are up around 80 percent or better.
If you find it is 70 percent, change the inductor.
You also want to make sure the circuit can still start up
at low input voltages, as when the battery starts to run
down, because there is a chance that lower input voltages
might prevent the circuit from starting to oscillate,
which could burn up the transistor. This might only
occur once out of every 20 turn on's so it takes a bit
of patience to test for this condition.
In general, the toroid type cores show less loss then
the open frame inductors. You can of course experiment
with the number of turns from maybe 2 to 10.
As you probably already know, always check the transistor
for overheating when trying a new inductor and when testing
for proper start up (with lowered input voltage).
Very nice pics by the way :-)
Take care for now,
Al