| Magic Hexagons are relatively new discoveries - the first type
being found in 1887, the second in 2003. Hexagonia is a collection of
articles and problems that have
one common feature - the hexagon.
For the most part, the problems are
taken from Naturally
Mathematical Challenges, and as a result, the solutions provided are
those sent in by participating teams. Other problems have been included
to complete a picture of the broad range of possibilities that hexagons
allow.
The types of material that we cover includes:
- Magic Hexagons - where all rows add to the same total.
- Spatial problems - cut up a
hexagon into different shapes - make puzzles with the pieces
- Numerical problems - arrange
numbers in a hexagon to have certain properties
- Transversal problems - place
counters in rows of a hexagon such that there is exactly one in each
row
There are two types of hexagon that we have been looking at. We call
them the triangular hexagon (T-hexagon) and the hexagonal
hexagon (H-hexagon). This is what the T-hexagon and H-hexagon of
side 2 look like.
|
2 triangles along each side
|
2 hexagons along each side
|
Sharing ideas
This is going to be a dynamic part of the Natural Maths website. Any
ideas or findings that you would like to share with us will be added to the collection. And,
yes, there is still a lot to be found out about the Hexagon, which
unlike its cousin the Square, is a relatively unexplored shape! |
