So for example \(C_7^{1,2}\) is the graph on {0,1,2,3,4,5,6} with an edge uv if and only if u-v is in {1,2,-1,-2} mod 7. The sequence is like this

\(C_3^0,C_4^2,C_5^1,C_6^{1,3},C_7^{1,2},C_8^{1,2,4},C_9^{1,2,3}\ldots\)

See the graphs labelled 3...9 (ignore the other doodles)

"In the new commission the areas of education and research are [...] subsumed under the "innovation and youth" title. This emphasizes economic exploitability (i.e. "innovation") over its foundation, which is education and research, and it reduces “education” to “youth” while being essential to all ages...

With this open letter we demand that the EU commission revises the title for commissioner Gabriel to “Education, Research, Innovation and Youth”"

@christianp

I like the three color addition! Is this a common property of projective planes (maybe it's trivial?...I'm not used to thinking about the points as repeated like this! 🙂 ) or one of the named adjectives (Desarguesian, etc.)?

I realise now that the way I have been saying this fact is very ambiguous (I can make it make sense with tone of voice and hand gestures).

I mean to say there is exactly one number that is the successor of a square and whose successor is a cube, or to put it another way, there is exactly one solution to y³-x²=2 with x,y integers.

3/n

Mathematician, computer scientist, bassist, knitter?

Joined Jan 2018