[ Help | Earliest Comments | Latest Comments ][ List All Subjects of Discussion | Create New Subject of Discussion ][ List Earliest Comments Only For Pages | Games | Rated Pages | Rated Games | Subjects of Discussion ]Single Comment Cyclohex. 3-player round hex variant. (24x5, Cells: 120) [All Comments] [Add Comment or Rating]Charles Gilman wrote on 2011-02-14 UTCActually you don't need to take my word for it about root 7, just the word of whichever mathematician it was - I cannot remember offhand - who extrapolated Pythagoras' theorem to aÂ²+bÂ²-2ab cosine(internal angle between a and b)=cÂ² for any sides of any triangle. For an internal angle of 180Â° - straight on - this renders cÂ² as aÂ²+bÂ²+2ab which many will recognise as indeed the formula for (a+b)Â². Likewise for 0Â° - doubling back - it gives aÂ²+bÂ²-2ab which many will recognise as the formula for (a-b)Â². For 90Â° it gives Pythagoras' original aÂ²+bÂ². For 120Â° it gives aÂ²+bÂ²+ab. In the case of the Sennight this is 2Â²+1Â²+(2x1)=7.