| 8.(e) Every point of the Koch curve has some address, an infinite sequence of
0s, 1s, 2s, and 3s. |
| Given any address a1a2a3... and any k > 0,
the portion of the Koch curve
between a1a2a3 ... and
a1a2a3 ... ak (0infinity) contains a complete (scaled)
horizontally oriented copy of the Koch curve Kk. The chord from the left endpoint of Kk
to a1a2a3 and from the apex of Kk to
a1a2a3 ... make different angles
with the horizontal. |
| Thus the point a1a2a3 has no well-defined tangent. |