MYSTERIES UNVEILED

By JOSEPH W. PARKER


Contents


BUILDING BLOCKS

The best form of procedure in building up blocks from Table B is first to find true sets in the various ways the seventh may be placed in 4, 5, 6 and 7. There must be some before quick, and some after quick. As there are eight sixes, they may be divided into two fours, or six and two. Other ways suggest themselves, but none seem to give truth. Likewise one member of a pair may be reversed, necessitating a single at quick and an odd number of singles at slow. These are suggested as a source which may be investigated by readers; however, the following examples seem to give the most useful results:-


 11A odd   13B even
 10B       ---
 ---       14C
S 1A      S 9C
  2C even  ---
 ---        8C odd

 13C even   8C even
  9B       ---
 ---      -11C
-14A
  1A       or
 ---
-10C       11B odd
  2A       ---
 ---        8C

 13A even   2A odd         2C odd
 ---      S11A even  or  S11C even
 14A       ---            ---
  1A
 ---           or as below
S10A
  9A       11A odd        11B odd
 ---      S 2B even  or  S 2C even
  8A odd   ---            ---

There are others true, especially in the case of the first pair. The first of the pair is found true in three different sets, and the second also gives three. As the first cannot repeat with the second, they together make up seven true combinations.

To find all the true sets as shown in the examples, prick from the Nos. 2, 8, 11 and 13 in their three forms, and compare the results for true pairs, remembering that either may be reversed if required.

Joining the pairs at quick will present no difficulty, as the seventh is only in front one six, which can only repeat with the slow connection.

The final step is to find true slow connections, neither must they repeat with the six brought in at quick. They will consist of sixes from Nos. 3, 4, 5, 6, 7 and 12; and may commence from any of these in the following form: Nos. 3A, 4A, 5B, 6B, 7C and 12C. This form is fixed by the position of the seventh in the first six of the slow. The combinations may be pricked as required, or the whole of them written out for reference. If all that may cause a five or six-call set are rejected there are 110 of them, and the four below show all that are possible from 3A without singles:-

    3A      3A      3A      3A
   ---     ---     ---     ---
    5B    - 4A    - 4A    - 4A
    7B     12B    - 5A     12B
   ---     ---     ---     ---
  - 4C    - 7B    - 6A      6A
  -12C      5C      7A      7A
   ---     ---     ---     ---

Having shown a method of finding the possible true blocks, some of these will now be given with the means of joining them. These blocks may now be regarded as public 'property' and readers are free to find new peals from them.



This page created by Philip Saddleton

Last updated 01/09/96