• The ArenA
  • The Pit
  • Play / Watch
  • Get
  • Guestbook
  • About

MindSports

  • You are here:  
  • Home
  • Side dishes
  • Math
  • On Root Approach
  • Carréphylic classes

Main menu

  • Home
  • The ArenA
  • The Pit
  • AiAi
  • Dagaz
  • Axiom Game System
  • Puzzles
  • Game links
  • Puzzle links
  • How I invented games and why not
  • Balancing protocols in symmetric 2-player games
  • Draughts Dissected
  • On the Evolution of Draughts Variants
  • On 'inside out' inventing
  • Organicity in abstract strategy games
  • Othelloanian capture in Go variants
  • Sight Lines & Knight Spots
  • Clarity - foggy notions
  • Chad, Shakti & the irony
  • Moving forward looking back
  • I Ching Connexion
  • I Ching links
  • Side dishes
    • More games by CF
    • Interesting games
    • Math
      • On Root Approach
        • Examples

Who's Online

We have 103 guests and no members online

Carréphylic classes

Article Index

  • Carréphylic classes
  • n^2-2
  • n^2-1
  • n^2+1
  • n^2+2
  • n^2+n
  • n^2-n/2 (for even n)
  • n^2+n/2 (for even n)
Page 1 of 8
Certain classses of numbers are inherently carréphylic. Here are the five that come with every square and two more that come with even squares:
n2-2n2-1n2+1n2+2n2+n-n2-n/2n2+n/2

They show convincingly that members of the same class have a similar approach profile.
  • Next

MindSports, Powered by Joomla!