- A
polycube is a
solid figure formed by
joining one or more
equal cubes face to face.
Polycubes are the three-dimensional
analogues of the
planar polyominoes...
- and pentominoes, are a
particular type of polyomino. The
corresponding polycube,
called a tetracube, is a
geometric shape composed of four
cubes connected...
-
constructed with six
square pyramids,
tiling space by
attaching their apices.
Polycube is a
polyhedron in
which the
faces of many
cubes are attached. Analogously...
-
Unlike in
three dimensions in
which distances between vertices of a
polycube with unit
edges excludes √7 due to Legendre's three-square theorem, Lagrange's...
- The
Dancing Links algorithm solving a
polycube puzzle...
-
joined along congruent faces.
Joining cubes in this way
produces the
polycubes, and
joining tetrahedrons in this way
produces the polytetrahedrons. 2-dimensional...
- sets, each of
which consists only of a
single rectangle. A
pentacube is a
polycube of five cubes. Of the 29 one-sided pentacubes,
exactly twelve pentacubes...
-
perspective is that of
looking down into a three-dimensional
rectangular pit.
Polycube blocks of
various shapes appear, one at a time, and fall
slowly toward...
-
Polyominoes have been
generalized to
higher dimensions by
joining cubes to form
polycubes, or
hypercubes to form polyhypercubes. In
statistical physics, the study...
- for example,
unfolding the
surface of a
polyhedron to a
polygonal net.
Polycubes are a
special case of
orthogonal polyhedra that can be
decomposed into...
