Henry Ernest Dudeney/Modern Puzzles/195 - Domino Groups

by : $195$

 * Domino Groups
 * I wonder how many of my readers know that if you lay out the $28$ dominoes in line according to the ordinary rules --
 * $6$ against $6$, $2$ against $2$, blank against blank, and so on --
 * the last number must always be the same as the first, so that they will really always form a circle.
 * It is a very ancient trick to conceal one domino (but do not take out a double) and then ask him to arrange all the others in line without your seeing.
 * It will astonish him when you tell him, after he has succeeded, what the two end numbers are.
 * They must be those on the domino that you have withdrawn, for that domino completes the circle.


 * If the dominoes are laid out in the manner shown in the diagram and I then break the line into $4$ lengths of $7$ dominoes each,
 * it will be found that the sum of the pips in the first group is $49$, in the second $34$, in the third $46$, and in the fourth $39$.


 * Dudeney-Modern-Puzzles-195.png


 * Now I want to play them out so that all the four groups of seven when the line is broken shall contain the same number of pips.
 * Can you find a way of doing it?