Research

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

Universal covers of half-twist tight flute surfaces

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

X4,1

X3.2,1.2

X5.7,1.8

X3.6,0.5

X1,4

X1.5,3.1

X4,1

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