-
problems based on
polycubes. Like polyominoes,
polycubes can be
enumerated in two ways,
depending on
whether chiral pairs of
polycubes (those equivalent...
- (ed.). "Sequence A000162 (Number of
three dimensional polyominoes (or
polycubes) with n cells.)". The On-Line
Encyclopedia of
Integer Sequences. OEIS...
- 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...
- 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...
- A. (ed.). "Sequence A000162 (Number of 3-dimensional
polyominoes (or
polycubes) with n cells.)". The On-Line
Encyclopedia of
Integer Sequences. OEIS...
-
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...
- 52 + 72 + 112 + 132 + 172 + 192. It is the
number of three-dimensional
polycubes with
seven cells. 1023 is the
number of
elements in the 9-simplex, as...
- and pentominoes, are a
particular type of polyomino. The
corresponding polycube,
called a tetracube, is a
geometric shape composed of four
cubes connected...
-
Polyominoes have been
generalized to
higher dimensions by
joining cubes to form
polycubes, or
hypercubes to form polyhypercubes. In
statistical physics, the study...
-
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...
