One of the first things that children learn through instruction is to recognize shapes, both plane and solid, though they are not often given the names of the solids.
Now that they recognize the shapes, why do we not procede to the next phase and teach geometry? Geometry does not require arithmetic.
I picked out a couple of stories to read to the girls on this subject. I have Flatland and Euclid’s Elements, but I doubt they will be as engaging as Sir Cumference: no princesses.