The plant on the far right is a begonia I'm growing from cuttings.
Tradescantia pallida, is native to LA and FL in the US. It is a zone 10 plant that is often grown as a houseplant. I like to put it in the front of a flower bed especially because it thrives in sun and doesn't faint if we are not watering that week.
MOBOT says it is native to Mexico and can be grown in part shade. I removed it from the front bed and even though it returns every year (we are in zone 7), I am growing plants from cuttings for next summer - by which time I'll know where to put it.
Thank heaven for Daddy Long Legs! They eat aphids, caterpillars, beetles, flies, mites, small slugs, snails, earthworms, spiders and their fellow harvestmen.
They are welcome in the shed as long as they want to stay.