Why black and white? I can think of several answers to that question, one of them being: Because it is abstract; after all you leave out colour. Another answer could be: Because black and white photography is a wonderful way to tackle geometry.
Hopping aboard a different train of thought, I remember Hans Belting, a German art historian, stating that a camera is machine for making perspectives. Looking further into perspective, I learned that some Avant-Garde Artists of the Renaissance era claimed that perspective was about geometry (my German source for this claim is Albrecht Dürer, but I am sure there are also Italian sources).
Perspective – geometry – black and white photography: This is how things seem to connect. Against this background, I would like you to challenge the idea that perspective is inevitable in a photo. If you like, make two photos of the same object: One containing as much and the other one as little perspective as you can.
(And if you really get interested in this topic: Study the work of Ellsworth Kelly. I think he teaches us a lot not only about abstraction but also about perspective.)