Can I colour a 30 sonobe unit Icosahedron with 3 colours?

arkan · Post by **arkan** » April 5th, 2006, 4:29 am

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??

arkan · Post by **arkan** » April 13th, 2006, 4:35 am

can anyone help me , please?

JMcK · Post by **JMcK** » April 13th, 2006, 4:46 pm

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

arkan · Post by **arkan** » April 14th, 2006, 7:56 am

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

CMSeter · Post by **CMSeter** » April 18th, 2006, 8:09 pm

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

arkan · Post by **arkan** » April 19th, 2006, 2:32 am

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