Enneper's Surfaces of Order 1 and 2
The first two images are surfaces in the family associated to Enneper's surface of order two,
with the natural basepoint at the point of
symmetry in the center. The non-minimal surface is also known as a Smyth surface or a three-legged Mr. Bubble.
The rest of the images are in the family of Enneper's surface of order 1, which includes a round cyliner at $H=1$.
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