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## Henry Bushby Transcription pages

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51

1 + 4 points to S_{2}, & it is to be

noted that S_{4} ^{6b}/_{18c} is on 2z -

In S_{4} ^{9b}/_{27c}, 1 + 4 also gives a ring

though this is on 1z.

It looks as though the rule

applying to S_{2} applied also to S_{4}

and that the rule ought to be stated

thus:-

Let P be any prime factor of __n__ -~~Then~~greater than unity. * ^ (It may equal n.)* Then rings

are formed by joining x to

(M2 X P) – 1.

Test this with S

_{6}

^{11b}/

_{55c}.

__A priori__

since P may be 2 & 3, one would

expect that

+ 1 + (1 X 2 X 2) – 1 = 1 + 3

1 + (1 X 2 X

__3__) – 1 = 1 + 5 no

1 + (2 X 2 X 2) - 1 = 1 + 5 no

[Caption: Rule breaks down] 1 + (2 X 2 X

__3__) - 1 = 1 + 11 no

+ 1 + (4 X 2 X 2

*^ 16*) – 1 = 1 + 15

1 + (4 X 2 X 3) – 1 = 1 + 23 non existent

1 + (6 X 2 X 2) – 1 =1 + 23 [ditto marks] [ditto marks]

1 + 12 ring = 1 +