Modulo Art
49
MODULO ART
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modulo art, modulo arithmetic, latin square modulo, converging modulo art, standard kaleidoscope modulo art, circular kaleidoscope, circular residue
Transcript of Modulo Art
MODULO ART
MODULO ARITHMETICMODULO ARITHMETIC
ADDITION
0 1 2 30 0 1 2 3
1 1 2 3 0
2 2 3 0 1
3 3 0 1 2
MODULO 4 MODULO 70 1 2 3 4 5 6
0 0 1 2 3 4 5 6
1 1 2 3 4 5 6 0
2 2 3 4 5 6 0 1
3 3 4 5 6 0 1 2
4 4 5 6 0 1 2 3
5 5 6 0 1 2 3 4
6 6 0 1 2 3 4 5
SUBTRACTIONMODULO 5
0 1 2 3 4
0 0 4 3 2 1
1 1 0 4 3 2
2 2 1 0 4 3
3 3 2 1 0 4
4 4 3 2 1 0
MODULO 80 1 2 3 4 5 6 7
0 0 7 6 5 4 3 2 1
1 1 0 7 6 5 4 3 2
2 2 1 0 7 6 5 4 3
3 3 2 1 0 7 6 5 4
4 4 3 2 1 0 7 6 5
5 5 4 3 2 1 0 7 6
6 6 5 4 3 2 1 0 7
7 7 6 5 4 3 2 1 0
MULTIPLICATIONMODULO 5MODULO 7
0 1 2 3 4 5 6
0 0 0 0 0 0 0 0
1 0 1 2 3 4 5 6
2 0 2 4 6 1 3 5
3 0 3 6 2 5 1 4
4 0 4 1 5 2 6 3
5 0 5 3 1 6 4 2
6 0 6 5 4 3 2 1
LATIN SQUARE
CONVERGING SEGMENT
STANDARD KALEIDOSCOPE
CIRCULAR KALEIDOSCOPE
CIRCULAR RESIDUE
LATIN SQUARE
10 32
0
0
0 1
1
1
2
2
2
3
3
3
3
2
1
0
LATIN SQUARE
10 32
0
0
0 1
1
1
2
2
2
3
3
3
3
2
1
0
10 32
0
0
0 1
1
1
2
2
2
3
3
3
REPETITION
10 32
0
0
0 1
1
1
2
2
2
3
3
3
10 32
0
0
0 1
1
1
2
2
2
3
3
3
10 32
0
0
0 1
1
1
2
2
2
3
3
3
HOME
10 32
0
0
0 1
1
1
2
2
2
3
3
3
ROTATION1
03
2
0
0
01
1
1
2
2
23
3
3
1 03 2
0
0
01
1
1
2
2
2
3
3
3
10
32
0
0
01
1
1
2
2
2 3
3
3
10 32
0
0
0 1
1
1
2
2
2
3
3
3
REFLECTION
1 03 2
0
0
01
1
1
2
2
2
3
3
3
10 32
0
0
0 1
1
1
2
2
2
3
3
3
1 03 2
0
0
01
1
1
2
2
2
3
3
3
HOME
0 1 2 3
1 2 3
2 3 1
3 0 1 2
0
0
0 1 2 3
1 2 3
2 3 1
3 0 1 2
0
0
0
1
2
3
home
CIRCULAR KALEIDOSCOPE
2
2
2 11
1
1
23
3 3
3
4
4
4
4 1
2
3
4
2
2
2
1
123
3 3
3
4
4
4
4 1
2
3
4
1
2
2
2
1 123
3
3
4
4
4
1
2
3
4
1
2
2
1 123
3
3
4
4
4
1
2
3
4
1
2
2
1 123
3
3
4
4
4
1
2
3
4
1
2
2
1 123
3
3
4
4
4
1
2
3
4
1
2
2
1 123
3
4
4
4
1
2
3
4
1
2
2
123
3
4
4
1
2
3
4
1
2
2
123
3
4
4
1
2
3
4
1
2
2
123
3
4
4
1
2
3
4
1
REFLECTION
ROTATION
home
x 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
mod 19 9 18 8 17 7 16 6 15 5 14 4 13 3 12 2 11 1 10
1
3
2
6
4
8
7
1011
9
13
12
15
16
14
1817
5
1
3
2
6
4
8
7
1011
9
13
12
15
16
14
1817
5
1
3
2
6
4
8
7
1011
9
13
12
15
16
14
1817
5
home
00
1122 33
1122
3300
223300
11
330011
22
00 1122
33
1122
3300
223300
11
330011
22
001122
33
1122
3300
223300
11
330011
22
00
112233
1122
3300
223300
11
330011
22
00
1122 33
112233
00
2233 00
11
330011 22
00
1122 33
112233
00
2233 00
11
330011 22
0
0 1
0 1
2
0 1
2
3
0 1
2
3
0 1
2
3
0 1
2
3
0 1
2
3
REFLECTION
ROTATION
home
