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Missing the tetrahedron group (tetraOnR3 in escnn.gspaces?) #63

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chAwater opened this issue Jul 6, 2023 · 0 comments
Open

Missing the tetrahedron group (tetraOnR3 in escnn.gspaces?) #63

chAwater opened this issue Jul 6, 2023 · 0 comments

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@chAwater
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chAwater commented Jul 6, 2023

Hi,

I'm trying to build 3D equivariant CNN and I found the tetrahedron symmetry group ("Describes 3D rotation symmetries of a tetrahedron in the space R3") is missing in action-on-volume.

Is there any way to build it (by subgroup or isomorphism)? Thanks!


Indeed, in 3D, the only discrete 3D rotational symmetry groups are the symmetries of the few platonic solids (the
tetrahedron group, the octahedron group and the icosahedron group).

Conversely, since there are only a few options in 3D, we provide a different method for each of them
(e.g. :func:`~escnn.gspaces.icoOnR3` or :func:`~escnn.gspaces.octaOnR3`).


BTW, I tried

from escnn.gspaces import GSpace3D
GSpace3D((False, 'tetra'))

but got

elif so3_sg_id[0] == 'tetra':
# sg = escnn.group.tetra_group()
# parent_mapping = so3_to_o3(adj, sg)
# child_mapping = o3_to_so3(adj, sg)
raise NotImplementedError()

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