Unicolor triangles

Are adjectives unicolor and bicolor acceptable to native Anglo-Saxons? Should I use uni-colored and bi-colored instead? Can I use all four of them?

Anyway, in the past week or ten days I was writing about the count of unicolor triangles when the set of pairs (edges) is painted, each edge in one of the two colors, say blue and red. I don’t know if the result is new (perhaps not) or the method (I hope so). Most of this writing repeats my older notes. But I was happy that two days ago or so I got also something new–a very tiny something but it still makes me feel better. I have provided (simple!) extreme examples also in the

ξ ≡ 1 mod 4

case. Case  ξ ≡ 3 mod 4  is still open (to me).
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My counting idea is adequate for triangles of colored edges, but not for tetrahedra of colored triangles, not by itself–I need an additional fresh idea. One day I will get it.


I am in Starbucks. I forgot to bring my mouse, how dumb! and frustrating! Somehow today I am doing not bad without the mouse, using just the touch pad. I mean typing. Otherwise I am not doing much. Thus I better write some emails. Will I?

One thought on “Unicolor triangles

  1. I’ve solved the remaining case,  ξ ≡ 3 mod 4  too. “Solved” sounds so serious, too serious. This case is as easy as the other cases–it’s just a bit more messy, that’s all.

    I’ve spent some time talking on the cell phone (perhaps cell phone is not such a great idea after all :-), and now Starbucks will be closed soon. I’ll write the respective examples off-line. I don’t know if I will get a chance to upload the new text during this night, in my room. “My” Internet (dis)connection at home is from very poor to non-existent.

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