### LANGUAGE

The Beautiful Formula Language allows to create new compositions and to notate already existing paintings.

We are constantly working on the improvement of The Beautiful Formula Language. Please, feel free to send us your suggestion, comment or any kind of question.

thebeautifulformula@googlemail.com

The Beautiful Formula Collective

**SIGNS AND SYMBOLS**

**U UNIT**

**M METER**

**A AREA**

**T TAKT**

**R RHYTHMICAL MOTIVE**

**E ELEMENT**

**P PROCEDURE**

**# ENTRY**

** **

*** hits the meter**

**[] within the same area**

**#(n) number of entries**

**∞ number of entries flexible**

**(n) size of unit**

**≈ size of the unit is corresponding for all elements**

**\ bigger than**

**/ less than**

**|| order fixed**

**> n occupy n**

**-> go to**

**{ n out of n possible**

**+ has to touch**

**_ has not to touch**

**≠ not**

**V vertical**

**H horizontal**

**F flexibel**

**ⁿ ordinal number**

**L line**

**{ n } polygon with n edges**

**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

**Meters** with the additional letter **b** include the surface border and the four corners.

Examples: 1/4b, 1/9b, 1/16b, 1/25b

**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

*** hits the meter**

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**

M 1/4

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]

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