A quartic surface which can be constructed as follows. Given a circle 
and plane 
perpendicular to the plane of 
, move a second circle 
of the same radius as 
through space so that its center
always lies on 
and it remains parallel to 
. Then 
sweeps out the Bohemian dome. It can be given by the parametric
equations
 |  |  |
(1)
|
 |  |  |
(2)
|
 |  |  |
(3)
|
where 
.
In the above plot, 
,
, and 
.
The Gaussian curvature and mean curvature of the surface are given by
 |  |  |
(4)
|
 |  | ![-(4abcsinu+2ccosv[b^2+c^2+(c^2-b^2)cos(2v)])/(8|a|(c^2cos^2v+b^2sin^2usin^2v)^(3/2)).](/images/equations/BohemianDome/Inline27.svg) |
(5)
|
