Hi Benjamin,

For the shapes and reshaping, I wrote an ShapedLikeNDArray mixin/ABC
for astropy, which may be a useful starting point as it also provides
a way to implement the methods ndarray uses to reshape and get
elements: see 
https://github.com/astropy/astropy/blob/master/astropy/utils/misc.py#L863

All the best,

Marten
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