don steward
mathematics teaching 10 ~ 16

Wednesday, 21 December 2011

joining 6 dots

how many ways are there to join 6 dots with a continuous line, not taking your pencil off the paper?

  • each point must have only two lines (arcs) coming from it
  • rotations and reflections are not counted as being different

there are 12
the regions are 2-coloured to better show the patterns:

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