Universal covers of zero-twist Loch-Ness monster surfaces

Research

We define the length parameters l_n and l^′_n of the zero-twist Loch-Ness monsters X₀ and X^′₀ by

l_n= 2log(8n) and l^′_n=4log(8n).

The lengths of the fronts of ß_n are given by:

l(ß_n)=4log(n/(n-1)).

The following are pictures of universal covers of the zero-twist Loch-Ness monster surfaces X₀ and X^′₀.

The zero-twist Loch-Ness monster X₀

The zero-twist Loch-Ness monster X^′₀