Addresses in the Koch curve

8.(c) Consider the point 1(3infinity) = 2(0infinity), the apex of the Koch curve.

To show this point has no tangent, we shall produce a sequence of points converging to the apex, with the chords from these points to the apex alternating over a 30 degree range.

First conider the chord between the apex and 0infinity.

Click the picture for the next point in the sequence.

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