Problem 1
How many different transversals can be found for the
H-hexagon of
sides 2 and 3?
By different, we mean that the arrangements of objects in the
hexagons are unique and cannot be rotated or flipped to the positions
of another arrangement.
Problem 1A
What is the largest number of objects that can
be positioned in a H-hexagon of sides 2 and 3 such that there is one of
each colour in every row?
 Problem 2
The triangles
of a H-hexagon can be coloured in three colours to make a pattern in
which no two hexagons of the same colour are touching. For the
T-hexagon, we believe that half the objects in a transversal will be in
white triangles and half in black triangles (click here
to see this). Do the findings
for the positions of transversals of a T-Hexagon apply in a similar way
to the H-hexagon?
Comments on the above to follow soon. |
