# Compound of Eight Octahedra

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Here is another uniform compound of uniform polyhedra.
This is a compound of eight Octahedra and the whole compound has the same
symmetry as an octahedron ( S_{4}xI).
Many of these exists. You just place an octahedron in such a way it shares an
order three axis with the final symmetry and then you apply the symmetries that
are needed to obtain the final symmetry.
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This position is special because a subcompound obtains a higher symmetry:
A_{4}xI. This is emphasised by using two colours. Each
sub-compound is a compound of four cubes with A_{4}xI symmetry.
Since this is a uniform compound, such a sub-compound is uniform too.
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This model is quite easy to build. The way I built it you will need to cut and
paste 216 pieces. You could however decide to use 4 colours and give the
octahedra that share an order 3 axis the same colour. In that case you would
only need to cut and paste 144 pieces. The 3D model on the right contains some
flickering faces. The way I solved that in the paper model is the reason for
this difference.
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The picture is copyrighted by
PhotoArt Studio HĂ¶rby
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## Last Updated

2019-02-03