Thomsen Surfaces

family

1

2

α

0.98

β

0.48

view

color

Thomsen surfaces are both Euclidean as well as affine minimal surfaces; Thomsen first characterized them in 1923 and they were completely classified in 1980. Two families exist; the second one can be generated when

x

and

y

, as well as

u

and

v

, are interchanged.