One of the things that makes perception very fascinating is our ability to deduce variants of already learned and stored patterns or information is that we can recognize shapes and forms also from different viewpoints than from the perspectives we learned them. A big problem here is to explainj the speed with which we can deduce what we see.
The explanation for the incredible recognition speed seems to require either a smart and not yet fully understood memory-structure, which makes recognition also of distorted variants “inherently potential”, or that we’re actually capable of processing variant recognition in real time starting from from simpler shapes (but then that fantastic efficient algorithm is unknown to us)
So, is this capability due to memory-structure “already wired” to efficiently provide with variants, or does it take raw processing power?
Given the relatively slow “processing speed” of our brains (very slow compared to the speed with which we actually end up concluding, or not concluding, what we see) there seems to me to be more to the memory-structure - tailored for more efficient access and processing - which we have yet to discover.
HARDWIRED FOR MATH?
It is obvious from research in the relation between geometry and mathematics (a “which comes first” kind of question) that our brains are hardwired for more things than we traditionally have believed. Clifford Algebra, later purified into Geometric Algebra gives evidence for a hardwired predisposition for math, as a representation of geometry (not the other way around) which includes visualizeable patterns of fractals and patterns which are unfortunately perceived as “psychedelic” while in reality they are so well defined that we can reproduce many of them with algorithms.
My point here is about geometric shapes and patterns which the brain simply “knows” about, without ever learning it or seen before, even examples of extremely complex math (I’m really not into psychedelic stuff or New Age or so, it’s just an observation which happened to be mapped to our knowledge about math, being based on geometry and not the other way around).
An introduction to this field, which obviously hints us about more hardwired things in our brains related to shape and geometry (even resulting in intuitive understanding of complex math…) can be found in this recognized blog post by Slehar, which presents himself like so:
About slehar
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I write books and papers on theories of perception and consciousness based on the general insight that our experience takes the form of a spatial structure, and a spatially structure implicates a spatially structured representation in the brain. I propose it occurs by harmonic resonance, or patterns of standing waves in the brain. The brain works more like a musical instrument than as a digital computer.
On this blog you can perhaps find more ideas (related to hard-wiring of the brain), shapes & geometry in general, and shapes perceived in different perspectives, useful in your project. Most important and unexpected keyword in the field of geometric Algebra is, not rectangles and circles but, rotations! 
// Rolf