Chapter L: E V E L

E E E E
V V V
E E E E
L E V E L

Within this square the word LEVEL runs in twelve different directions, being itself a palindrome.

No. XXXIII

The sentence formed with the ten letters above the line, which is the key to this sum, is _Do your best_. If these letters are numbered consecutively 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, and the corresponding figures are substituted for the letters, the sum works out as is shown in the second diagram--

S B 9 7
R E 6 8
Y D 3 1
O T 4 0
U O 5 2
------ -----
O E E 2 8 8
===== =====

No. XXXIV

The twelve names of flowers and foliage that may be gathered within these borders, by moving in any direction one square at a time,

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╗
║ 1 │ 2 │ 3 │ 4 │ 5 │ 6 │ 7 ║
║ L│ L│ B│ H│ P│ E│ F║
╟───┼───┼───┼───┼───┼───┼───╢
║ 8 │ 9 │10 │11 │12 │13 │14 ║
║ L│ Y│ E│ L│ O│ R│ N║
╟───┼───┼───┼───┼───┼───┼───╢
║15 │16 │17 │18 │19 │20 │21 ║
║ I│ V│ B│ R│ I│ V│ K║
╟───┼───┼───┼───┼───┼───┼───╢
║22 │23 │24 │25 │26 │27 │28 ║
║ A│ L│ E│ T│ O│ N│ I║
╟───┼───┼───┼───┼───┼───┼───╢
║29 │30 │31 │32 │33 │34 │35 ║
║ C│ N│ A│ S│ U│ L│ P║
╚═══╧═══╧═══╧═══╧═══╧═══╧═══╝

are 18, 26, 32, 24, _Rose_; 25, 33, 34, 28, 35, _Tulip_; 35, 28, 27, 21, _Pink_; 31, 32, 25, 24, 18, _Aster_; and, in similar ways, _Verbena_; _Salvia_; _Ivy_; _Lily_; _Lilac_; _Heliotrope_; _Fern_; and _Bell_.

No. XXXV

The solution of this little problem, set by Dr Puzzlewitz on his blackboard to test the powers of his young pupils--“What are the values of A and B, when 4 is the result of dividing A by B, or of subtracting B from A?”--

┏━━━━━━━━━━━━━┓
┃ ┃
┃ A - B = 4 ┃
┃ ┃
┃ A ÷ B = 4 ┃
┃ ┃
┗━━━━━━━━━━━━━┛

is that A = 5¹⁄₃ and B = 1¹⁄₃.

No. XXXVI

This is the diamond squared:--

┌───┐
│ s │
┌───┼───┼───┐
│ h │ i │ s │
┌───┼───┼───┼───┼───┐
│ h │ i │ n │ t │ s │
┌───┼───┼───┼───┼───┼───┼───┐
│ s │ i │ n │ u │ o │ u │ s │
└───┼───┼───┼───┼───┼───┼───┘
│ s │ t │ o │ r │ m │
└───┼───┼───┼───┼───┘
│ s │ u │ m │
└───┼───┼───┘
│ s │
└───┘

in which the words read alike from top to bottom, and from left to right.

No. XXXVII

This is the arrangement of the 32 letters in the 64 cells--

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
║ │ A │ │ E │ I │ │ O │ ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ E │ O │ │ │ │ │ A │ I ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ │ │ A │ I │ E │ O │ │ ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ I │ │ O │ │ │ A │ │ E ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ O │ │ I │ │ │ E │ │ A ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ │ │ E │ O │ A │ I │ │ ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ A │ I │ │ │ │ │ E │ O ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ │ E │ │ A │ O │ │ │ I ║
╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

No A is in the same column, row, or diagonal with another A, no E with another E, no I with another I, and no O with another O.

No. XXXVIII

This is the anagram square, with the letters, which in the former diagram spelt the words _vote_, _wove_, _prow_, _call_, _stew_, _news_, _core_, _nape_, recast into fresh words which now read alike from top to bottom and from left to right of the square.

╔═══╤═══╤═══╤═══╤═══╤═══╤═══╤═══╗
║###│ C │###│ R │###│ O │###│ W ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ C │###│ L │###│ A │###│ W │###║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║###│ L │###│ O │###│ V │###│ E ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ R │###│ O │###│ P │###│ E │###║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║###│ A │###│ P │###│ E │###│ S ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ O │###│ V │###│ E │###│ N │###║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║###│ W │###│ E │###│ N │###│ T ║
╟───┼───┼───┼───┼───┼───┼───┼───╢
║ W │###│ E │###│ S │###│ T │###║
╚═══╧═══╧═══╧═══╧═══╧═══╧═══╧═══╝

The empty squares and diagonal setting are necessary for this particular puzzle, as the words would not form a word square if their letters were placed below one another in the usual way.

No. XXXIX

The sentence formed with the ten letters above the line, which is the key to this sum, is--_Add these up_. If these letters are numbered consecutively 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, and the corresponding figures are substituted for the numbers, the sum works out as is shown below.