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Numérique
° Mosaïque numérique. –
Tableau qui contient un ensemble de nombres et d'opérations, disposés de
façon plus ou moins régulière de manière à produire un effet décoratif.
Voici 14 mosaïques :
|
1 × 1 |
= |
1 |
|
11 × 11 |
= |
121 |
|
111 × 111 |
= |
12321 |
|
1111 × 1111 |
= |
1234321 |
|
11111 × 11111 |
= |
123454321 |
|
111111 × 111111 |
= |
12345654321 |
|
1111111 × 1111111 |
= |
1234567654321 |
h
|
3 × 3 |
= |
0 9 |
|
33 × 33 |
= |
1 0 8 9 |
|
333 × 333 |
= |
11 0 88 9 |
|
3333 × 3333 |
= |
111 0 888 9 |
|
33333 × 33333 |
= |
1111 0 8888 9 |
|
333333 × 333333 |
= |
11111 0 88888 9 |
|
3333333 × 3333333 |
= |
111111 0 888888 9 |
4 h× 4hhhhh
|
4 × 4 |
= |
1 6 |
|
34 × 34 |
= |
11 5 6 |
|
334 × 334 |
= |
111 55 6 |
|
3334 × 3334 |
= |
1111 555 6 |
|
33334 × 33334 |
= |
11111 5555 6 |
|
333334 × 333334 |
= |
111111 55555 6 |
h
|
5 × 9 |
= |
4 5 |
|
55 × 99 |
= |
5 44 5 |
|
555 × 999 |
= |
55 444 5 |
|
5555 × 9999 |
= |
555 4444 5 |
|
55555 × 99999 |
= |
5555 44444 5 |
|
555555 × 999999 |
= |
55555 444444 5 |
|
5555555 × 9999999 |
= |
555555 4444444 5 |
h
|
6 × 9 |
= |
5 4 |
|
66 × 99 |
= |
6 5 3 4 |
|
666 × 999 |
= |
66 5 33 4 |
|
6666 × 9999 |
= |
666 5 333 4 |
|
66666 × 99999 |
= |
6666 5 3333 4 |
|
666666 × 999999 |
= |
66666 5 33333 4 |
|
6666666 × 9999999 |
= |
666666 5 333333 4 |
h
|
7 × 9 |
= |
6 3 |
|
77 × 99 |
= |
7 6 2 3 |
|
777 × 999 |
= |
77 6 22 3 |
|
7777 × 9999 |
= |
777 6 222 3 |
|
77777 × 99999 |
= |
7777 6 2222 3 |
|
777777 × 999999 |
= |
77777 6 22222 3 |
|
7777777 × 9999999 |
= |
777777 6 222222 3 |
h
|
9 × 9 |
= |
8 1 |
|
99 × 99 |
= |
9 8 0 1 |
|
999 × 999 |
= |
99 8 00 1 |
|
9999 × 9999 |
= |
999 8 000 1 |
|
99999 × 99999 |
= |
9999 8 0000 1 |
|
999999 × 999999 |
= |
99999 8 00000 1 |
|
9999999 × 9999999 |
= |
999999 8 000000 1 |
h
|
5 × 99 |
= |
49 5 |
|
55 × 999 |
= |
5 49 4 5 |
|
555 × 9999 |
= |
55 49 44 5 |
|
5555 × 99999 |
= |
555 49 444 5 |
|
55555 × 999999 |
= |
5555 49 4444 5 |
|
555555 × 9999999 |
= |
55555 49 44444 5 |
|
5555555 × 99999999 |
= |
555555 49 444444 5 |
h
|
9 × 9 × 9 |
= |
7 2 9 |
|
99 × 99 × 99 |
= |
9 7 0 2 99 |
|
999 × 999 × 999 |
= |
99 7 00 2 999 |
|
9999 × 9999 × 9999 |
= |
999 7 000 2 9999 |
|
99999 × 99999 × 99999 |
= |
9999 7 0000 2 99999 |
|
999999 × 999999 × 999999 |
= |
99999 7 00000 2 999999 |
|
9999999 × 9999999 × 9999999 |
= |
999999 7 000000 2 9999999 |
4h
|
9 × 1 1 |
= |
99 |
|
99 × 1 0 1 |
= |
9999 |
|
999 × 1 00 1 |
= |
999999 |
|
9999 × 1 000 1 |
= |
99999999 |
|
99999 × 1 0000 1 |
= |
9999999999 |
|
999999 × 1 00000 1 |
= |
999999999999 |
|
9999999 × 1 000000 1 |
= |
99999999999999 |
h
|
9 ´ 9 + 7 |
= |
88 |
|
98 ´ 9 + 6 |
= |
888 |
|
987 ´ 9 + 5 |
= |
8888 |
|
9876 ´ 9 + 4 |
= |
88 888 |
|
98765 ´ 9 + 3 |
= |
888 888 |
|
987654 ´ 9 + 2 |
= |
8 888 888 |
|
9876543 ´ 9 + 1 |
= |
88 888 888 |
|
98765432 ´ 9 + 0 |
= |
888 888 888 |
|
987654321 ´ 9 - 1 |
= |
8 888 888 888 |
|
9876543210 ´ 9 - 2 |
= |
88 888 888 888 |
|
1 × 9 + 2 |
= |
11 |
|
12 × 9 + 3 |
= |
111 |
|
123 × 9 + 4 |
= |
1111 |
|
1234 × 9 + 5 |
= |
11111 |
|
12345 × 9 + 6 |
= |
111111 |
|
123456 × 9 + 7 |
= |
1111111 |
|
1234567 × 9 + 8 |
= |
11111111 |
|
12345678 × 9 + 9 |
= |
111111111 |
Les deux dernières mosaïques expriment les mêmes nombres.
La première est en base 10 et l’autre en base 8.
|
1 × 8 + 1 = 9 |
|
1 × 6 + 1 = 7 |
|
12 × 8 + 2 = 98 |
|
12 × 6 + 2 = 76 |
|
123 × 8 + 3 = 987 |
|
123 × 6 + 3 = 765 |
|
1234 × 8 + 4 = 9876 |
|
1234 × 6 + 4 = 7654 |
|
12345 × 8 + 5 = 98765 |
|
12345 × 6 + 5 = 76543 |
|
123456 × 8 + 6 = 987654 |
|
123456 × 6 + 6 = 765432 |
|
1234567 × 8 + 7 = 9876543 |
|
1234567 × 6 + 7 = 7654321 |
© Charles-É. Jean
Index
: N
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