I'm not sure if it is a genre, or just something I tried.
Each 'level' is a figure consisting of nodes and connecting arcs. You start by placing your finger at any node, and you move your finger until all arcs have been traced. Lift your finger, and you lose immediately. Touch the screen with another finger or part of your hand: you also lose immediately. Move too far from the arc and your accuracy bar depletes, move too quickly and it also depletes. If the bar is gone, you lose. Finish all arcs and you have succeeded.
The challenge is partly in working out which node to start on, and which route to take, to be able to trace all arcs only once. But that isn't a very hard challenge. The main point is to slow down and move consistently and carefully. It should be meditative if done correctly.
It's a digital form of something I've done, personally, for a long time: trace my finger in particular patterns slowly and meditatively. I have a weakness for symbolic, vaguely mystical claptrap, so for me I've given the patterns meanings. It's pointless, really, and maybe pretentious, but it is calming, and not as easy as it sounds to draw a perfect infinity (say) at a constant slow speed without jerking movement. Concentrating on the figure and the symbolism is a form of meditation, I find. So that was the idea. Besides a small number of keen players, it didn't seem to appeal to many. Perhaps it was the slightly pretentious tone: I veered a bit too mystical in the design I think.