PRIZE PROBLEMs 1995
see also
openday documents
by the winner
Road Problem
A system of roads must be built by the County Council
connecting four villages which lie at the corners of a
square. The system of shortest total length will cost
least. Find that system.
Four Plans Submitted for Consideration
Triangle Problem
There is 1 triangle in Diagram 1.
There are 5 triangles in Diagram 2.
There are 13 triangles in Diagram 3.
How many triangles are there in Diagram 4?
How many triangles are there in Diagram 5?
How many triangles are there in Diagram 12?
How many triangles are there in Diagram N, if you can imagine it?
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Revised 10-Mar-1997.