536 Puzzles and Curious Problems

128 Geometrical Problems FOLDING AN OCTAGON Can you cut the regular octagon from a square piece of paper without using compass ...

Paper Folding Puzzles 129 STRIP TO PENTAGON Given a ribbon of paper, as in the illustration, of any length-say more than four ...

130 Geometrical Problems FOLDING POSTAGE STAMPS 1 2 3 -it 5 6 7 8 If you have eight postage stamps, 4 by 2, as in the diagram, ...

Moving Counter Puzzles 131 The following is a solution in eight moves: 5-13, (6-14,6-5),16-15, (3-11, 3-6),2-10, (8-7,8-16,8-3), ...

132 Geometrical Problems moves, to compartment F. You can move the counters one at a time to any compartment, but may never plac ...

Moving Counter Puzzles 133 If you place these, say, on AA, they must, in the end, be found in the corre- sponding positions BB. ...

134 Geometrical Problems place the 1 on the top of the 3, or the 3 on the top of the 7, or the 2 on the 6, or the 2 on the 4, bu ...

Moving Counter Puzzles 135 when you will have the first two counters properly placed. The puzzle is to determine the fewest poss ...

136 Geometrical Problems 378. THE ANGELICA PUZZLE Here is a little puzzle that will soon become quite fascinating if you at- tem ...

Moving Counter Puzzles 137 and so on until each warder captures his prisoner. If one warder makes a capture, both he and his cap ...

138 Geometrical Problems THE FOUR PENNIES Take four pennies and arrange them on the table without the assistance of another co ...

Combinatorial & Topological Problems ...

...

Combinatorial & Topological Problems AN IRREGULAR MAGIC SQUARE Here we have a perfect magic square composed of the numbers ...

142 Combinatorial & Topological Problems DIFFERENCE SQUARES (^4 3 2) 7 1 9 6 5 8 Can you rearrange the nine digits in the ...

square, in which the numbers in all the eight lines if multiplied together give the same product in every case. You are not allo ...

144 Combinatorial & Topological Problems must contain nine of each figure 1, 2, 3, 4, and that they must be four-square numb ...

Magic Star Puzzles 145 Can you form a magic square with all the columns, rows, and two long diagonals, adding up alike, with the ...

146 Combinatorial & Topological Problems the six points add up to 24. If for every number in its present position you substi ...

Magic Star Puzzles 147 Let the reader try to discover some of the other solutions, and he will find it a very hard nut, even wit ...