It doesn't seem like rexes should go dormant in summer. See if your rhizomes are plump to the touch or hollow/mushy.
That is some very tiny Peperomia in your pot Wandygirl. I didn't know they came that small.
Did you mean Callisia? If it behaves like C. fragrans then it will be quite vigorous.
I do see your Hedera now that you mentioned it. Very cool.
Cultivar ID
I did mean Callisia. Here it is attempting to take over my deck:
