WOLFRAM|DEMONSTRATIONS PROJECT

Dini's Surface

​
a
1
b
0.2
c
0.7
The surfaces in this family, which is named after Ulisse Dini, have a constant negative curvature and can be created by twisting a pseudosphere. They are parametrized by the equations
x=acos(cu)sin(cv)
,
y=asin(cu)sin(cv)
,
z=a(cos(cv)+ln(tan(cv/2))+bcu)
, where
u∈[0,4π]
and
v∈(0,2]
. You can view different members of this family by adjusting the values of
a
,
b
, and
c
.