Demonstration: The Cross Section Method
The section crossing method is a reduction method which consists in
subdividing a given numerical mass into two or more homogeneous or non-homogeneous
sections using a specific symmetrical or mixed development typology composed of a set of plays
covering both the section combinations and the Crossover combinations between sections so you get guaranteed winnings.
How to obtain the system of 7 numbers in 7 triplets ,guaranteeing 2 exact numbers.
In the first system all the both are present only once, none excluded and none repeated, while in the
second system all the both are present only once with the exception of one both present three times and
whose repetition cannot be eliminated.
7 NUMBERS 7 TRIPLES - GUARANTEE OF 1 BOTH WITH 2 EXACT NUMBERS
Divide the 7 numbers into 2 sections of 4 numbers and 3 numbers respectively.
Use the 6 pairs that are formed with 4 numbers i.e. 1-2, 1-3, 1-4, 2-3, 2-4, 3-4, and
insert them into 3 groups (ABC) each of which is made up of 2 pairs without numbers in
common between them and without repetitions or exclusions of pairs, as follows:
TO B C
01 02 01 03 01 04
03 04 02 04 02 03
Add the number 5 in the 2 pairs of group A, the number 6 in the 2 pairs of group B,
the number 7 in the 2 pairs of group C, obtaining the following 6 triplets having a
maximum of one number in common between them (fundamental condition
for the orthogonal systems guaranteeing 1 both):
01 02 05
03 04 05
01 03 06
02 04 06
01 04 07
02 03 07
+
05 06 07
The 6 triplets allow coverage of the sections of the first section and the crossing areas of the two sections.
At this point it is necessary to add the triplet 05 06 07 to cover both sections of the second section.
