The following are pictures of universal covers of half-twist tight flute surfaces.

In [BHS], Hakobyan created the half-twist tight flute surfaces X

_{a,b}with length parameters defined by:

l_{2n}= alog(n+1)+blog(n) and l_{2n+1}=(a+b)log(n+1).

Below are universal covers of X

_{a,b}.

X_{4,1}

X_{3.2,1.2}

X_{5.7,1.8}

X_{3.6,0.5}

X_{1,4}

X_{1.5,3.1}

X_{4,1}