Download Asterix and the Magic Carpet (Asterix Adventure) by Albert Uderzo PDF
By Albert Uderzo
The fantastic village the place Asterix and Obelix stay has just one hindrance: its bard is the worst musician within the historic international. every time Cacofonix moves up a music, the solar hides at the back of the clouds and the rain starts to fall. yet, then a fakir flies in on a magic carpet inquiring for assist in finishing a bad drought in his country. in a different way, his daughter Orinjade could be sacrificed to the gods. by surprise, Cacofonix’s abilities are available in effective convenient.
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Extra info for Asterix and the Magic Carpet (Asterix Adventure)
As we see, memorizing this placement is particularly easy since we are merely to keep in mind the occupants of the two upper corners, the position of the other numbers being inferred thereby. The disadvantage, if any, is the limited number of conﬁgurations. 31 (b) Writing two more small numbers within the top and bottom rows, as in Fig. 98, will leave 4(k − 2) empty cells in the horizontal rows and, as before, 4(k − 1) in the columns. This preliminary placement of ten numbers —again to be memorized if we are to ﬁll the border without much thought— is also applicable to the order 8.
95). 7 1 2 62 61 60 59 8 56 9 10 55 11 54 53 12 52 13 14 51 57 64 63 3 4 5 6 58 Fig. 95 3. Mathematical basis for this method (α) General theory Basically, what should be obtained when constructing borders of even orders is, after a preliminary placement, repeated use of what we shall call neutral placements. Consider a sequence of four consecutive numbers of which we place the extremes in one row and the middle ones in the opposite row (Fig. 96); after writing in their complements, not only will the sum due be obtained in cells facing one another, but also in the four cells of each row.
84–87 (Russian edition, pp. 95–98). Chapter II. Bordered magic squares It will appear from A that general methods for bordered squares of any order were deﬁnitely known in the 10th century, whereas B knows a general method only for odd orders. For odd as well as even orders, B considers each square in turn, starting with the smallest, 3 or 4, and shows how to add successive borders around it. For odd orders, this will lead him to his general way of arranging the numbers. Here we have a clear testimony on the earlier history of magic squares, namely how a general method was empirically arrived at.