In report Ejtken asserted, that he at will can mentally imagine numbers written on a paper. At various stages of calculations and in particular at the number closing stage can spontaneously arise before a calculator mind. В«But basically they as though hide under a certain cover, continuing to move in the latent condition and to be reconstructed in the necessary order with strict accuracy. In particular, I can assert with all definiteness, that superfluous zero in the beginning or in the end of number never arise before my mind at the intermediate stages of calculations

7. On each cage of a chessboard in the size 5X5 there is a horse. Whether it is possible to do simultaneously a course by all 25 horses so that after a course all 25 cages of a miniboard have again appeared occupied? Each horse goes, as usually: on two fields in one direction then turns on 90 В° and "lands" on the next field.

2. To reconstruct coins from a rhombus in a circle with observed listed in a condition of a problem of rules it is possible for the following obrazoma we Will renumber coins how it is shown on fig. 78. We will move then a coin 6 so that it has concerned coins 4 and 5, a coin 5 so that it has concerned from above coins 2 and 3 and, at last, coin Z-a so that it has concerned coins 5 and 6

4. A new logic problem. To logic problems about liars and the people speaking only one truth, В«nest! NumbersВ», however their following unusual variant, on-1 how many it is known, earlier it was not published.

One strange and a little known property of a tetrahedron (any of Platonovyh bodies, except a tetrahedron, this property does not possess) underlies the surprising

Correct value of the sum of an initial number, according to Grandi, is equal '/2. Statement Grandi has supported with a parable about a jewel, which father bequeathed to two sons with an indispensable condition that the stone annually passed from one son to another. If stone cost to accept for 1, cost a debt! The inheritances, got to each of sons, it will be expressed by a number 1 — 1 + 1 — 1 + 1.

If a number does not converge, it name rashodja-1 shchimsja. It is easy to notice, that a number 1+2 + 3 + 4+I + 5 +..

In two days we have translated Pedro in new, spacious apartments. It was joyful to see, how he runs, surveying each corner as hangs on lattice rods as does pirouettes from delight, that around is so much place.

— Mr. Darrell, at gorillas again a diarrhoeia.

Cage with snakes have carried on a set, in a nest have placed five wonderful blue eggs, then one snake have carefully put on branches, just over a nest. I have pressed descent and have prepared.