Creativity is now as
important in education
as literacy and we
should treat it with the
same status.
-Ken Robinson
OBJECTIVES:
 Use modular operations to
create pattern/s to form modulo
art.
 Use computer designing modulo
art.
E-Modulo Art Design (EMAD) is an art design in
which a mathematical concept (number pattern from
modular arithmetic) was applied to computer
software to form modulo art.
 It is composed of number pattern, legend, design
pattern, and template.
 It can be in addition, subtraction, and
multiplication.
ADVANTAGES:
1.
2.
3.
4.
5.
6.
Cost effective
Flexible and comfortable
Modification of the art/design
Tireless
Controlled
Product quality
How to create number pattern?
Are there operations involved?
Modular Arithmetic
0
1
2
3
1
1+1
1+2
(1+3)/4
R.
2
1+2
(2+2)/4
R.
(3+2)/4
R.
3
(3+1)/4
R.
(3+2)/4
R.
(3+3)/4
R.
Addition
Modular Arithmetic
Modulo 4 -Addition
0
1
2
3
1
2
3
0
2
3
0
1
3
0
1
2
Modular Arithmetic
Modulo 4 -Subtraction
0
1
2
3
1
1-1
(1-2)+4
(1-3)+4
2
2-1
2-2
(2-3)+4
3
3-1
3-2
3-3
Modular Arithmetic
Modulo 4 -Subtraction
0
1
2
3
1
0
3
2
2
1
0
3
3
2
1
0
Modular Arithmetic
Modulo 4 -Multiplication
0
1
2
3
1
1
2
3
2
2
0
2
3
3
2
1
How to make Legend?
Legends
DESIGN PATTERN
Modular Arithmetic -Addition
2
1
0
0
1
2
3
1
2
3
0
2
3
0
1
3
0
1
2
3
Modulo 4 -Addition
R
E
P
A
T
E
D
D
E
S
I
G
N
Modulo 4 -Addition
R
O
T
A
T
E
D
D
E
S
I
G
N
Modulo 4 -Addition
R
E
F
L
E
C
T
E
D
D
E
S
I
G
N
Modular Arithmetic -Subtraction
2
1
0
0
1
2
3
1
0
3
2
2
3
1
2
0
1
3
0
3
Design
What is repeated design?
What is rotated design?
What is reflected design?
Grid/Latin Square
What is repeated design?
Repeated design refers to a pattern
or motif that is replicated or mirrored
across surface or within an
artwork.
What is rotated design?
Rotated design involves taking
a particular motif or pattern and
replicating it by rotating it
around a central point.
What is reflected design?
Reflected design involves creating
pattern that are mirrored or flipped
across a central axis or point.
Modulo 4 -Subtraction
R
E
P
A
T
E
D
D
E
S
I
G
N
Modulo 4 -Subtraction
R
O
T
A
T
E
D
D
E
S
I
G
N
Modulo 4 -Subtraction
R
E
F
L
E
C
T
E
D
D
E
S
I
G
N
Modular Arithmetic -Multiplication
0
1
2
0
1
2
3
1
1
2
3
2
2
0
2
3
3
2
1
3
Modulo 4 -Multiplication
R
E
P
A
T
E
D
D
E
S
I
G
N
R
O
T
A
T
E
D
D
E
S
I
G
N
Modulo 4 -Multiplication
Modulo 4 -Multiplication
R
E
F
L
E
C
T
E
D
D
E
S
I
G
N
TYPES OF MODULO ART
Are you ready for a workshop?
Create a modulo art, using the Grid/Latin
square design (repeated, rotated, and
reflected). Use the addition number pattern.
We do not need to
teach creativity but
rather inspire its
daily practice.”
“
-Diane Darrow
Thank You!