Video of lecture.
Waiting room video: a 1972 video on space-filling curves.

Gave the construction of a function

f:[0,1]-->Equilateral triangular region of the plane of side 1
as a fimit of functions f₁, f₂, ... . Next lecture we'll see that f is continuous and surjective.
In preparation for next lecture the definition of a Cauchy sequence was introduced, and the following thoerem was stated: Every Cauchy sequence in Euclidean space has a limit.

In my graph of f₃ I messed up the inner triangular region. I've now corrected this on the uploaded handwritten slides.