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hypercube
XDict
超立方體; 超正方體
PyDict
超立方體; 超正方體
Taiwan
MOE
computer
dictionary
(
moecomp
)
hypercube
超立方體結構
Network
Terminology
(
netterm
)
hypercube
超立方
The
Collaborative
International
Dictionary
of
English
v
.
0
.
48
(
gcide
)
hypercube
\
hypercube
\
n
.
A
mathematical
object
existing
in
more
than
three
dimensions
,
analogous
to
the
cube
in
that
each
two
-
dimensional
facet
of
the
surface
is
a
square
;
a
generalization
of
a
cube
in
more
than
three
dimensions
.
[
PJC
]
The
Free
On
-
line
Dictionary
of
Computing
(
foldoc
)
A
cube
of
more
than
three
dimensions
.
A
single
(
2
^
0
=
1
)
point
(
or
"
node
")
can
be
considered
as
a
zero
dimensional
cube
,
two
(
2
^
1
)
nodes
joined
by
a
line
(
or
"
edge
")
are
a
one
dimensional
cube
,
four
(
2
^
2
)
nodes
arranged
in
a
square
are
a
two
dimensional
cube
and
eight
(
2
^
3
)
nodes
are
an
ordinary
three
dimensional
cube
.
Continuing
this
geometric
progression
,
the
first
hypercube
has
2
^
4
=
16
nodes
and
is
a
four
dimensional
shape
(
a
"
four
-
cube
")
and
an
N
dimensional
cube
has
2
^
N
nodes
(
an
"
N
-
cube
").
To
make
an
N
1
dimensional
cube
,
take
two
N
dimensional
cubes
and
join
each
node
on
one
cube
to
the
corresponding
node
on
the
other
.
A
four
-
cube
can
be
visualised
as
a
three
-
cube
with
a
smaller
three
-
cube
centred
inside
it
with
edges
radiating
diagonally
out
(
in
the
fourth
dimension
)
from
each
node
on
the
inner
cube
to
the
corresponding
node
on
the
outer
cube
.
Each
node
in
an
N
dimensional
cube
is
directly
connected
to
N
other
nodes
.
We
can
identify
each
node
by
a
set
of
N
{
Cartesian
coordinates
}
where
each
coordinate
is
either
zero
or
one
.
Two
node
will
be
directly
connected
if
they
differ
in
only
one
coordinate
.
The
simple
,
regular
geometrical
structure
and
the
close
relationship
between
the
coordinate
system
and
binary
numbers
make
the
hypercube
an
appropriate
topology
for
a
parallel
computer
interconnection
network
.
The
fact
that
the
number
of
directly
connected
, "
nearest
neighbour
",
nodes
increases
with
the
total
size
of
the
network
is
also
highly
desirable
for
a
{
parallel
computer
}.
(
1994
-
11
-
17
)
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