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Two-coloured sonobe cube

Posted: April 4th, 2006, 11:33 am
by naomi
More a theoretical question...
Is it posible to create a sonobe cube with only two colours so that every side of the cube shows both colours (eg top and bottom triangles red, left and right triangles green)?

I was up late last night trying to figure it out, and it's frustrating me. If it's not possible, then I can give up!

Thanks,
Naomi

For a diagram of a sonobe cube, see http://www.origami-club.com/en/traditio ... fulbox.gif

Posted: April 4th, 2006, 11:40 am
by EuanBingham
There's an iso-area cube in 'Origami for the Connoisseur' that has a nice colour change using quarter size squares instead of triangles. I suppose it might be possible to alter it to get a different shape.

Posted: April 4th, 2006, 12:43 pm
by Daydreamer
Using the diagrams and units of the link you posted it is definitely impossible to get a two coloured cube like the one you want (that is if my 3D-thinking has not failed me....).
But there might be other similar units to fulfil your purpose like Euan suggested.