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## Henry Bushby Transcription pages

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8.

__Plait or Twist Knots as on p152 [ft?].
of vol 1.__ Their [double underline] reversibiltiy.

The law of reversibilty for these knots

is as follows:-

Let [sigma] = any odd no. of strands >1

Then [sigma]-1 is the difference of an

Arithmetical series of which it is also

the first [terin?], and in this series every

[terin?] represents a reversible Plait (Twist)

Knot with crossing equal to the [terin?].

But except in the case of [sigma]=3 the first

[terum] duplicates a knot in

__n__^

*(not the)*preceding

series, and therefore, when all the series

are being considered from 3([sigma]) onwards,

it is best, except with [sigma]=3, to make

2([sigma]-1) the 1st [terin?].

Thus: Required reversible knots: [sigma]=5.

[sigma] = 5, [sigma] - 1 = 4 = 1 st terin (since the series

alone is being considered.

Are = 4c, 8c, 12c, 16c, 20c . . . . . knots.

(p g follows)