-
problems based on
polycubes. Like polyominoes,
polycubes can be
enumerated in two ways,
depending on
whether chiral pairs of
polycubes (those equivalent...
- 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...
- polyhedra. *Non-orthogonal
foldings The
first cases of
common nets of
polycubes found was the work by
George Miller, with a
later contribution of Donald...
-
rectangular cuboid. The
Herzberger Quader consists of a set of all
possible polycubes from
dicube to tetracubes. The
eleven pieces together have 40 unit cubes...
-
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...
-
diabolical cube is a three-dimensional
dissection puzzle consisting of six
polycubes (shapes
formed by
gluing cubes together face to face) that can be ****embled...
- (ed.). "Sequence A000162 (Number of
three dimensional polyominoes (or
polycubes) with n cells.)". The On-Line
Encyclopedia of
Integer Sequences. OEIS...
- 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...
