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Regular Hexagon Loops
Age
11 to 14
Challenge Level
Problem
Getting Started
Student Solutions
Teachers' Resources
A hexagon loop is a closed chain of hexagons that meet along a whole edge and in which each hexagon must touch exactly two others.
They do not need to be symmetrical or short:
Can you find any rules connecting the numbers of tiles, the inside perimeter and the outside perimeter?
You might want to start by exploring
square loops
or growing sequences like these:
If you haven't got a supply of regular hexagons you could work on these
regular hexagon sheets
With thanks to
Don Steward
, whose ideas formed the basis of this problem.