THE BEAUTIFUL FORMULA LANGUAGE allows to create new compositions and to notate already existing paintings.
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Oleksiy Koval and THE BEAUTIFUL FORMULA COLLECTIVE
SIGNS AND SYMBOLS
U UNIT
The unit defines the basic size of any kind of mark on the surface. 1 is the smallest size of a mark, 2 is twice as big, 3 is three times bigger and so forth…
Examples: 1,2,3
M METER
The meter is a fixed point with a surrounding area.
The meter is used to accomplish an equal partition of the surface.
A meter is numbered from left to right and top to bottom.
Examples: 1/4, 1/9, 1/16, 1/25
A AREA
The area surrounds the meter and is defined by the rows and columns between meters. The area and its meter have the same numbering.
Examples: 1/4, 1/9, 1/16, 1/25 & 1/4b, 1/9b, 1/16b, 1/25b
T TAKT
The takt is a fixed number of units during one single entry.
Examples: takt 2, 3, 4 & 5 (A T2, B T3, C T4, D T5)
R RHYTHMICAL MOTIVE
The rhythmical motive is a fixed sequence of units during one single entry.
Examples: 2,2,3,1 or 1,2,1,3,1,5
E ELEMENT
The element is a unique character of a unit.
Elements are named with a, b, c …
Examples:
M 1/4
R 2,2,3,1
E a,b,c,d
P PROCEDURE
The procedure defines the painting process.
Examples:
M 1/4
R 1,2,1,3,1,5
E a,b,c,d,e,f
P *a1,b2,c1,d3,e1,f5
# ENTRY
The entry defines how often each element can participate.
Examples:
M 1/4
R 1,2,1,3,1,5
E a,b,c,d,e,f
P *a1,b2,c1,d3,e1,f5 #3
*
M 1/4
R 2,2,3,1
E a,b,c,d
P *a2,*b2,*c3,*d1
[]
within the same area
M 1/4
R 2,2,3,1
E a,b,c,d
P
[*a2,b2,c3,d1]
[*b2,c2,d3,a1]
[*c2,d2,a3,b1]
[*d2,a2,b3,c1]
#(n)
number of entries
M 1/9
R 2,2,3,1
E a,b,c,d
P
[*a] #(1)
[*b] #(2)
[*c] #(2)
[*d] #(4
∞
number of entries flexible
R 2,2,3,1
E a,b
P
a #∞
b M4 [*2,2,3,1] #1
(n)
size of unit
M 1/4
R –,–,–,–,– (1-5) (size of unit can vary from 1-5)
E a
P [*a] > 1{M1/4
≈
size of the unit is corresponding for all elements
M 1/4
A 1/4
R 2,2,3,1
E a,b,c,d ≈
P
a A1[*2,2,3,1]
b A2[*2,2,3,1]
c A3[*2,2,3,1]
d A4[*2,2,3,1]
\
bigger than
A 1/4
E a
P [*-\(3),2,2,3,1] > 1{A1/4
/
less than
A 1/4
E a
P [*-/(1),2,2,3,1] > 1{A1/4
||
order fixed
M 1/4
R 1,1,1,2,3
E |a,b,c,d| (the entry of the elements has to be in the same order)
P
M1 [*a]
M4 [*a,b,c,d]
>
n occupy n
M 1/4, 1/9
R 2,2,3,1
E a,b
P
M 1/4 [*a] > M4
M 1/9 [*b] > M5
{
n out of n possible
M 1/4
R 2,2,3,1
E a,b
P
[*a]
[*a]
[*a]
[*a,b] b > 1{4[a]
b has to choose one of the 4 areas already taken by a
+
has to touch
M 1/4
R 1,2,1,3,1,5
E |a,b,c|
P *a+b+c
_
has not to touch
A 1/9b
R 2,2,3,1
E a,b,c,d ≈
P
a_b_c_d
a A9[2+2+3+1]
b A9[2+2+3+1]
c A9[2+2+3+1]
d A9[2+2+3+1]
≠
not
M 1/4
R 2,2,3,1
E |a,b|
P
A1 [≠*a]
A2 [≠*a]
A3 [≠*a]
A4 [≠*a]
b M1 *2, M2 *2, M3 *3, M4 *1
V
vertical
M 1/9
R 2,2,3,1
E a
P a > 3{1/9 [*a]+[*a]+[*a] V
H
horizontal
M 1/9
R 2,2,3,1
E a
P a > 3{1/9 [*a]+[*a]+[*a] H
F
flexibel
M 1/9
R 2,2,3,1
E a
P a > 3{1/9 [*a]+[*a]+[*a] F
ⁿ
ordinal number
A
A¹ 1/4
A² 1/9
R 2,2,3,1 & 1,2,1,3,1,5
E a
P
a A¹ A3 [*2,2,3,1]
a A² A8 [*1,2,1,3,1,5]
M 1/4
R 1,2,1,3,1,5
E a¹ a²
P
a¹ M1 [*1,2,1,3,1,5]
a² (2\a¹) M4 [*1,2,1,3,1,5]
L
line
A 1/144 (L 1-12)
E a
P
L1 A2 [(1)]
L2 A1 [(3)]
L3 A6 [(2)]
L12 A11 [(2)]
{ n }
polygon with n edges
A 1/4, 1/9, 1/16
E a,b,c
P
a{3} A1/4
b{4} A1/9
c{5} A1/16
æ
all
M 1/4 & 1/9
E a
P a(-)+*æ13M
Keep this going please, great job!
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