Text written in Basque and translated automatically by
Elia without any subsequent editing.
SEE ORIGINAL
Magic Square
1987/04/01
Goñi, Jesus Mari
Iturria:
Elhuyar aldizkaria
In this issue we want to analyze the topic of witch paintings.
This time we want to analyze the topic of witch paintings. As is known, to make it a square of witches you have to meet the following conditions: be formed by different numbers.
- that the sum of the numbers in all columns, rows and diagonals is the same.
For example It seems that this topic of witch paintings is very old and seems to be an invention of Chinese mathematics. A. C. About 1000 years earlier this type of square was known in those Far Eastern territories. But the years have passed, and as we are in the era of Informatics, what we have of propostas in this issue is to prepare a program that generates pictures of witches of different levels. We have done so and we attach the following lines to you. However, this program only generates odd squares (3,5,7,9,11...). The reason is very simple: all squares at odd level are formed following the same rule, but this rule is not valid if the square level is even. To this topic, that is, the topic of squares with even level, we leave it for a later article. Before explaining the program, final note: as it is possible that the smallest number of a witch square is any, we have chosen a random value of range 1-10. Therefore, the program will randomly create 10 different squares per level. The highest level this program can generate is 49, since the variables are dimensioned to that value. If we want a higher level we should change this dimension. 3rd Course: Witch Square 3 x 3 Results Security Other Security Other Description Information Services Services sum of rows, columns and diagonals = 24 |
5th year: Witch square 5 x 5 Other 24 hours Services Results Description Services Security Other Documentation Information Services Other Services Services Services Information Services Services Services Services Security News Services Security Services sum of rows, columns and diagonals = 70 |
7th year: Witch Square 7 x 7 News Resources Services Security Services Services Services Security Management Other Services Security 24 hours Services Training Other Information News Services Services Other Services Services Other Services Description Other 50% Results Information Description Information Services Services Services Services Other Regulations Services Description Security Description Services Services Services Other Services Documentation Services |
9th year: Witch Square 9 x 9 Other 65% More information Other Services 24 hours Description Services Description Information Research Regulations Services Services Information Regulations Other Other Other Other Security Services Description Services Services Library Other Other News Other Other Services Management Library Other Other Information Information Services Services Training Training Other Services Regulations Services Services Security 50% Introduction More information 80% Regulations Services News Other Services Services Results Other Library Results Services Other Library Services Services More information Services Description Services Services Services Library Research Information Library Documentation Services Services Services sum of rows, columns and diagonals = 441 |
Level 11: Witch Square 11 x 11 More information Other Information Library News Description 24 hours Regulations Management Introduction Services Regulations Services Results More information Documentation Services Services Training 50% Services Information Environment News News Services Services Services Resources Services Services More information Other 112 Description Services Description Other Security Library Research Research Other 100% Description Security News Services Other Services 65% Other Regulations Site Map Other Security Other Services Other Library Information Other Introduction 102 Description Regulations Information News Services Other Other Services Other Services Results News Other Services Services Other 80% Other Library Other 105 Other Other Services Description Library Other 80% Services 94% More information 118 Information Services Services Library More information Library Services Information Memory More information Services Services Description Other Results Other Library Services 108 120 Results Services Information Services Training sum of rows, columns and diagonals = 726 |
MD1
The red threat launched in the previous issue, which we did not give answers, has borne its first fruit, and although it is difficult for you to believe, you must know that we have received the first response from the proposed games. The news comes from Arrasate. José Ramón Zubizarreta has sent us a magnificent response to a proposed game. There you have the answer. Encourage you to send more answers. "Dear: Answer to the mathematical game proposed in the December magazine: We can think that the number is of figures A, B, C. Number of 6 figures: ABCABC. This number can be written as follows: A x 10 5 + B x 10 4 + C x 10 3 + A x 10 2 + B x 10 + C (m.m.)
A x 10 2 (10 3 + 1) + B x 10 (10 3 +1) + C (10 3 + 1) (10 3 +1) (10 3 + 2 + B x
10 + C) 10 3 + 1 = 1001 = 7 x 11
x 11 x 13 x ABC = ABCABC Receive a cordial greeting and even another." | |
