- The
duocylinder, also
called the
double cylinder or the bidisc, is a
geometric object embedded in 4-dimensional
Euclidean space,
defined as the Cartesian...
- w)|x^{2}+y^{2}+z^{2}\leq r_{1}^{2},\ w^{2}\leq r_{2}^{2}\}} Like the
duocylinder, it is also
analogous to a
cylinder in 3-space,
which is the Cartesian...
-
corresponding duoprisms approach the
duocylinder. As such,
duoprisms are
useful as non-quadric
approximations of the
duocylinder. A cell-centered perspective...
- of two
rotationally symmetry 2D figures, as in the case of e.g. the
duocylinder and
various regular duoprisms. 2-fold
rotational symmetry together with...
-
orthogonal axis planes, or
duocylindrical symmetry. For example, the
duocylinder and
Clifford torus have
circular symmetry in two
orthogonal axes. A spherinder...
-
tiling of a flat
torus is {4,4}1,0,
constructed on the
surface of a
duocylinder with 1 vertex, 2
orthogonal edges, and one
square face. It is seen here...
- needed] The
Cartesian product of two
circles may be
taken to
obtain a
duocylinder. All
three can "roll" in four-dimensional space, each with its properties...
-
arrangement topologically equivalent to the 2-torus and the
ridge of the
duocylinder.
These can be
further divided into
three sets. 100 face mate to one ring...
- is not a 4-polytope,
since it is not
bounded by
polyhedral cells. The
duocylinder is a
figure in 4-dimensional
space related to the duoprisms. It is also...
-
abelian group. Some
examples of
protori are
given by
solenoid groups.
Duocylinder -
Cartesian product of two
disks Proprism Hofmann, Karl H.; Morris, Sidney...
