- 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...
-
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...
- 240
possible solutions by hand in 1961. The
seven Soma
pieces are six
polycubes of
order four, and one of
order three: Piet Hein
authorized a
finely crafted...
- sets, each of
which consists only of a
single rectangle. A
pentacube is a
polycube of five cubes. Of the 29 pentacubes,
exactly twelve pentacubes are flat...
- A. (ed.). "Sequence A000162 (Number of 3-dimensional
polyominoes (or
polycubes) with n cells.)". The On-Line
Encyclopedia of
Integer Sequences. OEIS...
-
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...
-
joined along congruent faces.
Joining cubes in this way
produces the
polycubes, and
joining tetrahedrons in this way
produces the polytetrahedrons. 2-dimensional...
- examples. Squares: The cube is the only
convex example.
Other examples (the
polycubes) can be
obtained by
joining cubes together,
although care must be taken...
