I keep my mantises on my desk. I have the African mantises in small round Ziploc twist-cap containers with cracks on the lids for ventilation, and the Giant Asian mantises are in the vials they came in and will probably be for the next two molts before upgrading to their own Ziploc containers. There is nothing quite like waking up first thing in the morning and looking over at my desk from my bed and seeing the tiny little mantis heads popping up while they are hanging upside down from the lids of the Ziploc containers (which are covered in paper towel for traction)
Their rest position always has their fore paws (yeah, I know... I'm calling mantis' raptorial arms paws... lol) folded, but the arms themselves slightly extended as opposed to pressed up close to their body (like they are ready to strike). The only thing moving is their antennae, but usually I start to see them stir awake - they usually start "vibrating", sometimes start crawling. They might even seem like they are kissing the container or trying to get out, but this hasn't been a problem lately since I upgraded their containers (before, Angel and Fortune had sort of "cataracts" form on their eyes from being in a tight container... Angel was especially bad since I switched him with Meek to give Meek room to molt to L5 (Angel already was L5))
Okay, of all insects to have a really cute resting position... mantises are definitely up there, but I still cannot get over the ADORABLE resting position of Nectarine, my sweet pet Eastern Lubber grasshopper. All grasshoppers rest with their hopper legs relaxed and folded close to their bodies, their knees forming an acute angle with their abdomen. They aren't tensed as they are when they are about to jump - knees below abdomen, they are relaxed. Hoppers do this to prepare in the event of disturbance - in that case they hop or fly. Eastern Lubbers are strange in that they don't hop very well, Nectarine almost never hops. Lubbers in general have skinny hopping legs (comparable to the shape of a Katydid's legs) but also a heavy body and short useless wings (which are for show instead of flight - Males use them in mating rituals and they might also serve as a threat display) -
Nectarine is very docile. She will eat from my hand. I love handing her food. I change her food twice a day, I don't give her much at a time. The food just goes limp after a while and I change it, replacing all the limp food with fresh food - Organic spring greens. I had 4 of these creatures, two female and two male, but now only Nectarine remains. Her favorite is generally Tango, a type of lettucey green kinda like Romaine lettuce or something but whatever she just loves it! Squee! Maybe next time I might just get a Tango blend instead of spring greens, since there are many of the greens she generally avoids.
Here is a video of Nectarine grabbing some Tango:
The "female that is over here" sitting on the speaker facing leftward is Nectarine.