000RM.dvi
1014 Cycle decompositions Project The multiplication 1 2 × 3 4 5 = 6 7 8 9 is clearly not valid. Move as few counters as possibl ...
39.4 The game of ropes and rungs 1015 39.4 The game of ropes and rungs Each of the seven players starts by sliding down his own ...
1016 Cycle decompositions ...
Chapter 40 Graph labelling 40.1 Edge-magic triangle Label the vertices and edges of a triangle with the numbers 1, 2,..., 6 with ...
1018 Graph labelling 40.2 Face-magic tetrahedron The vertices and edges of a tetrahedron with consecutive integers 1, 2, ..., 10 ...
40.3 Magic cube 1019 40.3 Magic cube........................ Label the vertices of a cube by the numbers 1, 2,...,8without repet ...
1020 Graph labelling 40.4 Edge-magic heptagon Label the vertices and edges with the fourteen numbers 1, 2,..., 14 (without repet ...
40.5 Edge-magic pentagram 1021 40.5 Edge-magic pentagram It is known that the pentagram cannot be labelled with the numbers 1, 2 ...
1022 Graph labelling 40.6 A perfect magic circle 12 61 27 68 18 70 16 63 25 74 12 67 21 65 23 72 14 13 75 20 66 22 64 15 73 26 ( ...
Chapter 41 Card tricks from permutations Considermncards arranged in order, from left to right, and from top to bottom. We call ...
1102 Card tricks from permutations The rearrangementω=ωm,n Pick up the cards along the columns, from top to bottom, and from lef ...
1103 The rearrangementρ=ρm,n Pick up the cards along the columns,from bottom to top, and from left to right. Then rearrange them ...
1104 Card tricks from permutations The repeated diagonal rearrangement Pick up the cards along thediagonals, fromfrom bottom to ...
1105 The repeated snake rearrangement Pick up the card along the columns, first from top to bottom, then from bottom to top, and ...
1106 Card tricks from permutations ...
Chapter 42 Tetrahedra 42.1 The isosceles tetrahedron An isosceles tetrehedron is one whose four faces are congruent trian- gles. ...
1108 Tetrahedra 42.2 The volume of an isosceles tetrahedron LetLbe the pedal of the vertexDon the faceABC.^1 Consider the plane ...
42.3 Volume of a tetrahedron 1109 42.3 Volume of a tetrahedron LetABCDbe a tetrahedron with BC=a, CA=b, AB=C, AD=a′,BD=b′,CD=c′. ...
1110 Tetrahedra 42.4 Charles Twigg’s envelope model of the tetrahedron 2 Take an sealed envelope which is two copies of a rectan ...
42.4 2 1111 Exercise 1.Find the volumes of the isosceles tetrahedra with face given below: ab c V 11 20 21 33 65 72 69 91 100 21 ...
«
9
10
11
12
13
14
15
16
17
18
»
Free download pdf