A finite area inside and infinite skin! You can paint the interior
of this fractal with a small tin of paint but you could never get
enough paint to paint the edge.
Make a poster using equilateral triangles with sides 27, 9, 3 and 1 units assembled as stage 3 of the Von Koch fractal. Investigate areas & lengths when you repeat a process infinitely often.
This article gives a proof of the uncountability of the Cantor set.
Thank you Jeremy from Drexel University,
Philadelphia, USA and Andrei, from Tudor Vianu National College,
Bucharest, Romania for two more excellent solutions.
To solve this problem, first I made a
table, and I filled it with the properties of the figures in the