I grew up on 181st between Vyse and Bryant in the Bronx. (right around the corner from the Bronx Zoo-South enterance “West Farms Square”)
We called it skully. Had to go 1-13 and around the center and back down to become a killer. If you ended up in the sections around 13 you were stuck till someone hit you out. We all had different size caps filled with wax.
When it rained we played on the linoleum in my bedroom (6 story walk up) that had flowers located in the in the shape of the “skully”.
I am now a Phys Ed teacher in Phoenix and we play skully, stickball, one wall handball, off the curb, punch ball and Johnny on the Pony. The kids love thses games and I really enjoy the memories while playing with them.