APPLES 



359 



the box over half way between the first 

 and second. Repeat, placing the apples in 

 the same relative position as the first 

 three, until the upper head of the box 

 is reached. This first layer may end with 

 two apples and one space, or with one ap- 

 ple and two spaces. Begin the second 

 layer by placing an apple above the space 

 left between the first two apples in the 

 bottom layer. The apple will fall down 

 into the space a trifle. Place the next 

 two apples on either side of the first. 

 The three will be of such a size that the 

 outer two will not slip toward the lower 

 head over half way on either side of the 

 middle one. The apples in the second 

 and third layers fit directly over the in- 

 terstices between two apples in the lay- 

 er underneath; except the end apples, 



Fig. 27. Two-one Pack, 41 Apples, 

 which fit over a space between an apple 

 and the head of the box. Three layers 

 of the two-one pack fill the box. 



(1) When the outer rows of a layer 

 touch one head of the box, with spaces 

 at the other end, the middle row touches 

 the other head with a space at the op- 

 posite end; and all the rows contain the 

 same number of apples. In the box 

 with all layers constructed thus, every 

 layer contains the same number of ap- 

 ples. The number of apples in the box is 

 determined by counting the number in 

 the top layer and multiplying by three, 

 the number of layers. (2) When the 

 outer rows of a layer reach from head to 

 head of the box, the middle row has a 

 space at both ends, and contains one ap- 

 ple less. On the other hand, when the 



middle row touches both heads of the box 

 and the outer rows each has a space at 

 both ends, each contains one apple less. 

 The layer constructed after the latter 

 contains one apple less than the layer 

 constructed after the former manner. Now 

 the first and third layers of the box each 

 contains the same number of apples; but 

 they are constructed after the former 

 manner and the second layer after the lat- 

 ter. Therefore the second layer contains 

 one apple less than the first and the third. 

 To determine the number of apples in this 

 box. count the apples in the top layer, 

 multiply by three, and substract one. 



Where the outer rows of the first layer 

 each contains four apples and the middle 

 row also four, the pack is described as 

 being three deep, two-one wide, and four- 

 four long, with 36 apples to the box. 

 When the outer rows of the first layer 

 each contains five apples and the middle 

 row four, the pack is described as be- 

 ing three deep, two-one wide, and five- 

 four long, with 41 apples to the box. 

 When the outer rows of the first layer 

 each contains five apples and the middle 

 row also five, the pack is described as 

 being three deep, two-one wide, and five- 

 five long, with 45 apples to the box. 



The two-one pack, though correct, is 

 rarely used. Few apples grow large 

 enough to pack into it. and these are 

 usually of too poor quality for commercial 

 purposes. It is sometimes put up as an 

 exhibition pack with which to stun the 

 land looker. To decide whether a certain 

 size of apple should be packed in the two- 

 one or in the two-two pack, try to place 

 three of the apples cheek to cheek in a 

 row crosswise of the box. If the apples 

 are so large transversely that there is not 

 room for three of them in the row, they 

 are to be packed two-one. If three of 

 them fit across snugly, or if they are so 

 small that three do not reach across, they 

 are to be packed two-two. 



Two-Two Pack 



To begin the two-two pack, place an 

 apple in the lower left hand corner of the 

 box, then one in the middle of the space 

 between the first apple and the right hand 



