One of the largest (2.5 to 3.5 inches long) and most colorful grasshoppers I have come across in Arizona, Taeniopoda eques is native from Arizona to Texas and south into Mexico. It feeds on desert shrubs including Mesquite and can be somewhat destructive. I've yet to find any info about it's common name, "Horse Lubber".
Only the males have wings large enough to fly and they are clumsy flyers at best. But if you happen to spot a male in flight (and I have, this one is male) you are treated to a display of fluttering scarlet wings that immediately grabs your attention.
Adults emerge anywhere from August to November, feed, mate and die. Eggs overwinter in the ground and will not hatch in drier years. It is reported the adults will exude a foul smelling foam when disturbed and apparently don't taste too good either. It's only known predator is itself. As adults die off, the remaining living adults will cannibalize them.
I was fortunate enough to be able to photograph this one both living and dead. And consider myself blessed to have come so close to such a beautiful creature.