Hi everyone! This is my first post so please bear with me! I have found this site really helpful so far, but I am struggling with a maths investigation and could do with a nudge in the right direction.
The game is:
The six vertices of a hexagon are drawn on a sheet of paper. A move consists of drawing a line between any two of these verticies. Two players take turns in drawing a line, using a different colour. The first player who is forced to form a triangle of his/her own colour is the loser. (onlt triangles whose vertices are amongst the six original vertices count).
I'm looking for strategies that can be used in order to win the game and what happens if I start with a different number of vertices?
I have drawn up a data table to record all of my results so far which include headings of: no. of vertices, no. of lines, no. of possible triangles etc
I have so much to look at I am losing my focus?
Can anyone help???
Many thanks and Seasons Greetings to one and all!