  We describe some three-dozen curious phenomena manifested by parabolas
inscribed or circumscribed about certain Poncelet triangle families. Despite
their pirouetting motion, parabolas' focus, vertex, directrix, etc., will often
sweep or envelop rather elementary loci such as lines, circles, or points. Most
phenomena are unproven though supported by solid numerical evidence (proofs are
welcome). Some yet unrealized experiments are posed as "challenges" (results
are welcome!).
