Problem 1

How many different transversals can be found for the T-hexagon of side 2?

By different, we mean that the arrangements of objects in the triangles 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 T-hexagon of side 2 such that there is one of each colour in every row?

Problem 2

How many different transversals can be found for the T-hexagon of side 3?

What is the largest number of objects that can be positioned in a T-hexagon of side 3 such that there is one of each colour in every row?

The T-hexagon of side 4 has yet to be investigated. Would you like to send us your comments on it?

Problem 3

The triangles of a T-hexagon can be coloured in two colours to make a chequered pattern. What do you notice about this pattern when a transversal is added to the diagram?

Does the same apply for a T-hexagon of side 3?

What about the T-hexagon of side 4?