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The compound of 5 cubes is the dual of this compound of 5 octahedra.
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Here's how a single cube fits within a dodecahedron. Its vertices
align with 8 of the dodecahedron's vertices. A cube can fit like this
into a single dodecahedron in 5 different ways. Put all 5 together to
get the compound of 5 cubes.
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The five cube compound contained with a dodecahedron. You could create
the compound yourself using Great Stella or Stella4D's faceting mode.
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The stellation diagram of the rhombic triacontahedron, with appropriate
cells selected to generate the compound of 5 cubes. You could create
the compound yourself using Great Stella or Stella4D's stellation tools.
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Print the nets from Stella. Stella can group parts of the same colour
together, which I did here in order to print directly onto the coloured
metallic paper that I used. Parts fitted onto one sheet of each
colour. Start by putting pieces together like this.
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Then attach to form stars like this. Be careful to get the colouring
right after the first one! You may want to ask Stella to print edge
connection IDs to help you attach parts correctly.
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The same part upside down.
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For added strength, and keeping in mind how I will get the last piece
in, I printed some extra parts for added internal strength. Here is
one such part, which attaches to the part above. For discussion of how I printed
these parts, see
this discussion on the forum.
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I also added a second extra part to add strength to the central part of
the star. It's the white part in the centre of this picture.
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Construct 12 parts as above, being careful of colouring, and the attach
the 12 parts like faces of a dodecahedron. Here are the first two
parts connected.
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Same as above, viewed from the other side.
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Half of the model complete.
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Getting there.
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Just one part left to attach. The above construction makes it easier
to put the last part in, though you have to put glue on ten tabs at
once here before easing the last part into place. Came together quite
well in the end.
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