Dear wise list,

I have a question regarding protein oligomers that have multiple, differing 
axes of symmetry - stimulated by some perplexing but likely real Alphafold 
models.

I think it's the protein equivalent of this old chestnut: 
https://en.wikipedia.org/wiki/Three_utilities_problem

Consider a trimeric fibre (perhaps collagen a good starting example) - it can 
have global 3-fold symmetry, and if it breaks from this, it is then able to 
"re-obey" this symmetry later on, but that axis is approximately the same as 
the starting one. I.e. a long winding rope with a kink in the middle, and the 
protein doesn't have to do much to accommodate this.

What happens when a long protein has multiple, dissimilar axes of symmetry? 
I.e. perhaps a trimer with the start and end on the same axis, but the middle 
domain sits ~90 degrees to this (and is also a 3-fold arrangement of chains A,B 
& C). I think I'd be correct in assuming that all 3 chains cannot have the same 
conformation - is this true?
I'd argue that the protein has to unwind a little at the junctions and each 
chain takes a different path in space when migrating from axis 1> axis 2> back 
to axis 1? (think of 1 as up/down, 2 as left/right). This is because as each 
chain leaves the centre of mass of axis 1, it is a different distance away from 
the centre of mass of axis 2....?

I hope that makes some sense!

So my question is, does anyone have an example PDB that does something similar, 
and were they able to trace the different chains, demonstrating the different 
conformations.

Thanks in advance - Andy

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