The Origami Forum

Can I colour a 30 sonobe units Icosahedron with 3 colours such that every peak is combined of 3 different colours?

I have already folded 30 sonobe units, and tried a few times but I failed to make that every peak is consisted of 3 colours.

The most successful case is every peak is consisted of 3 colours except 2 peaks is consisted of one repeated colour

Is it impossible to do such colouring??

can anyone help me , please?

I tried to describe how to do this in a couple of old postings to the o-list:

http://origami.kvi.nl/cgi-bin/oigquery. ... t&msgnr=17

http://origami.kvi.nl/cgi-bin/oigquery. ... xt&msgnr=3

thanks for your notes
but i dont understand what is rotationally symmetrical. Can u explain it briefly?
thanks

I'm not sure if this is what you're after, but I've done this one with 30 sonobé units.

[img]http://web.telia.com/~u13602246/Modular%20sphere.jpg[/img]

Every peak consists of three different colours but I have no theory of how to do it. I just put it together and if there were two of the same colour beside each other when I finished I just backtracked and switched them around a bit.

Thank you , CMSeter
in fact i have already finished one
now i want is some theory