and ending with an odd number only total up to eight. There are no two of these symbols which clash with one another so as to cause confusion.
To fit the alphabet to this cipher the simplest plan is to reserve one symbol (the first—"0") to represent the repetition of a foregoing letter. This would not only enlarge possibilities of writing, but would help to baffle inquiry. There is a distinct purpose in choosing "0" as the symbol of repetition for it can best be spared; it would invite curiosity to begin a number cipher with "0," were it in use in any combination of figures representing a letter.
Keep all the other numbers and combinations of numbers for purely alphabetical use. Then take the next five—9 to 45 to represent the vowels. The rest of the alphabet can follow in regular sequence, using up of the triple combinations, first those beginning and ending with even numbers and which tot up to nine, and when these have been exhausted, the others, those beginning and ending with odd numbers and which tot up to eight, in their own sequence.
If this plan be adopted, any letter of a word can be translated into numbers which are easily distinguishable, and whose sequence can be seemingly altered, so as to baffle inquisitive eyes, by the addition of any other numbers placed anywhere throughout the cipher. All of these added numbers can easily be discovered and eliminated by the scribe who undertakes the work of decipheration, by means of the additions of odd or even numbers, or by reference to his key. The whole cipher is so rationally exact that any one who knows the principle can make a key in a few minutes.
As I had gone on with my work I was much cheered by certain resemblances or coincidences which presented themselves, linking my new construction with the exist-
