yup, I think we can put this in the discovery index as well.(in fact I did, it is a very short article called D4.14)Klitzing wrote:[...]

so Wendy thus contributed to CRFebruary ...

[...]

Anyway what I was trying to say by investigating the symmetries, is trying to find out what (reflective) subsymmetries all symmetries have. This image is said to show the hierarchy of symmetries: Yet it doesn't show a line from [5,3,3] to [3

^{1,1,1}]. Therefore I thought nobody really knew the relation between these two (though you two seem to do). Anyway, it might be that there are more not-drawn lines that might give rise to expansions of some uniforms. Therefore it's very important to find all the lines to be able to prove we've found all EPE's of the uniforms.

Besides, I realized the things I've posted before (about the perp-space/para-space of lace-cities etc., introducing the (...)(...)-notation) were exactly the representations of the polytopes in the corresponding (duo)prism-symmetry. Let's take the representation of ex like this:(2f)(o5o3o)+(F)(o5o3x)+(f)(x5o3o)+(x)(o5o3f)+(o)(o5x3o). Actually that is the representation of ex in ike-prism symmetry, it can be written as AFfxo ooxoo5oooox3oxofo&#zx. Similarly (o5o)(x5x)+(f5o)(o5x)+(o5f)(x5o)+(x5o)(o5f)+(o5x)(f5o)+(x5x)(o5o) is the representation of ex in 5×5-duoprism symmetry, as ofoxox5oofoxx xoxofo5xxofoo&#zx. Now apart from (duo)prism-symmetry, most things also have some kind of antiprism symmetry. The .3.3.-representation of the .5.3.3.-uniforms has tetrahedral antiprismatic symmetry, and the .5.-representation of id has pentagonal antiprismatic symmetry. I think a notation for this might be usefull as well, to be able to write down the id=>pent.el.gyrobirotunda partial expansion.

P.S have I already said Wendy's discovery is quite awesome?