G
U
I
D
E
F
u
n
c
t
i
o
n
s
R
e
l
a
t
e
d
G
u
i
d
e
s
U
R
L
Wolfram Physics Project: Additional Systems
T
h
e
W
o
l
f
r
a
m
P
h
y
s
i
c
s
P
r
o
j
e
c
t
has many implications and connections, particularly to various types of simple programs.
Cellular Automata
C
e
l
l
u
l
a
r
A
u
t
o
m
a
t
o
n
— ordinary cellular automaton evolution in any number of dimensions
□
B
l
o
c
k
C
e
l
l
u
l
a
r
A
u
t
o
m
a
t
o
n
— cellular automaton based on block updating
□
C
e
l
l
u
l
a
r
A
u
t
o
m
a
t
o
n
N
u
m
b
e
r
— find a rule number from an explicit rule specification
□
C
e
l
l
u
l
a
r
A
u
t
o
m
a
t
o
n
F
r
o
m
N
u
m
b
e
r
— find an explicit rule specification from a rule number
Sequential Versions
□
S
e
q
u
e
n
t
i
a
l
C
e
l
l
u
l
a
r
A
u
t
o
m
a
t
o
n
—
c
e
l
l
u
l
a
r
a
u
t
o
m
a
t
o
n
w
i
t
h
s
p
e
c
i
f
i
e
d
c
e
l
l
u
p
d
a
t
i
n
g
o
r
d
e
r
□
M
o
b
i
l
e
A
u
t
o
m
a
t
o
n
— mobile automaton evolution
□
M
o
b
i
l
e
A
u
t
o
m
a
t
o
n
P
l
o
t
— plot of mobile automaton evolution
□
I
t
e
r
a
t
e
d
F
i
n
i
t
e
A
u
t
o
m
a
t
o
n
— iteratively apply a transducer finite automaton
Turing Machines
T
u
r
i
n
g
M
a
c
h
i
n
e
— Turing machine evolution (including 2D, etc.)
R
u
l
e
P
l
o
t
— plot of rules and evolution
□
T
u
r
i
n
g
M
a
c
h
i
n
e
C
a
u
s
a
l
G
r
a
p
h
—
c
a
u
s
a
l
g
r
a
p
h
f
o
r
T
u
r
i
n
g
m
a
c
h
i
n
e
e
v
o
l
u
t
i
o
n
□
T
u
r
i
n
g
M
a
c
h
i
n
e
F
r
o
m
N
u
m
b
e
r
Ordered Trivalent Graph Models
□
O
r
d
e
r
e
d
G
r
a
p
h
M
o
d
e
l
P
l
o
t
—
v
i
s
u
a
l
i
z
e
o
r
d
e
r
e
d
t
r
i
v
a
l
e
n
t
g
r
a
p
h
s
Quantum Information Systems
□
M
a
k
e
Z
X
D
i
a
g
r
a
m
—
m
a
k
e
a
Z
X
-
d
i
a
g
r
a
m
f
r
o
m
a
q
u
a
n
t
u
m
c
i
r
c
u
i
t
d
e
s
c
r
i
p
t
i
o
n
,
e
t
c
.
Multiway Systems »
□
M
u
l
t
i
w
a
y
T
u
r
i
n
g
M
a
c
h
i
n
e
▪
□
M
u
l
t
i
w
a
y
F
u
n
c
t
i
o
n
S
y
s
t
e
m
▪
□
M
u
l
t
i
w
a
y
G
r
o
u
p
▪
.
.
.
T
u
t
o
r
i
a
l
s
▪
C
e
l
l
u
l
a
r
A
u
t
o
m
a
t
a
R
e
l
a
t
e
d
G
u
i
d
e
s
▪
C
o
m
p
u
t
a
t
i
o
n
a
l
S
y
s
t
e
m
s
&
D
i
s
c
o
v
e
r
y
▪
W
o
l
f
r
a
m
P
h
y
s
i
c
s
P
r
o
j
e
c
t
F
u
n
c
t
i
o
n
s
R
e
l
a
t
e
d
L
i
n
k
s
▪
W
o
l
f
r
a
m
P
h
y
s
i
c
s
P
r
o
j
e
c
t
H
o
m
e
P
a
g
e
▪
H
a
n
d
s
-
O
n
I
n
t
r
o
d
u
c
t
i
o
n
t
o
t
h
e
W
o
l
f
r
a
m
P
h
y
s
i
c
s
P
r
o
j
e
c
t
▪
W
o
l
f
r
a
m
P
h
y
s
i
c
s
P
r
o
j
e
c
t
:
T
e
c
h
n
i
c
a
l
I
n
t
r
o
d
u
c
t
i
o
n
