A _ B
_ C
(A) Two-sided surface with "Cruciform Pattern", - (B) Twisted tower with 3rd-order saddles, - (C) "Spyrint".
_
This shape can also be understood as 6-storey Scherk Minimal
Surface,
wound into a toroidal loop.
The wireframe above represents the central part of a 3-storey
Scherk surface -- to give you an idea what it looks like.
(Another way to understand this sculpture would be a relative of a Costa surface.)
_
"Hyperbolic Heptagon" by Brent Collins
(Inspired by a discussion with Carlo Séquin)
The first shape shown
is the result of a search for a minimal Scherk toroid
with only 3 stories and with a 270 degree twist.
And here is yet another variant of
this shape.)
Brent independently also looked for such a minimal toroid first
found the following solution
shown from the front and the back:
_
Stimulated by pictures of Séquin's front-to-back symmetrical
solution,
Collins then also created this second version of the trefoil
toroid.
The two solutions are mainly different in the choice of the
azimuth parameter.
Collins' and Séquin's solution differ mostly in the size of the
central hole.
see also:
Stelvio or
Maloja
by Carlo H. Séquin
BC -- recent collaborative work