(505) 2

Part of 1996 Tournament Of Towns

Problems(1)

TOT 505 1996 Autumn J O2 tile an equilateral triangle with trapezoids

Source:

For what positive integers

n

is it possible to tile an equilateral triangle of side

n

with trapezoids each of which has sides

1, 1, 1, 2

?
(NB Vassiliev)

trapezoidEquilateraltilesgeometrycombinatoricscombinatorial geometry