-
problems based on
polycubes. Like polyominoes,
polycubes can be
enumerated in two ways,
depending on
whether chiral pairs of
polycubes (those equivalent...
-
involve the
construction of polyhedra, space-filling and honeycombs,
polycubes, as well as cube in compounds, spherical, and
topological space. The cube...
-
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...
-
Polyominoes have been
generalized to
higher dimensions by
joining cubes to form
polycubes, or
hypercubes to form polyhypercubes. In
statistical physics, the study...
- 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...
- (ed.). "Sequence A000162 (Number of
three dimensional polyominoes (or
polycubes) with n cells.)". The On-Line
Encyclopedia of
Integer Sequences. OEIS...
- 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...
- 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...
-
joined along congruent faces.
Joining cubes in this way
produces the
polycubes, and
joining tetrahedrons in this way
produces the polytetrahedrons. 2-dimensional...
-
primes (193 + 197 + 199 + 211 + 223); the
number of three-dimensional
polycubes with 7 cells;
number of
elements in a 9-simplex;
highest number one can...
