Henry Ernest Dudeney/Modern Puzzles/196 - Les Quadrilles/Solution

Modern Puzzles by Henry Ernest Dudeney: $196$

It is required to arrange a complete set of $28$ dominoes so as to form the figure shown in the diagram,

with all the numbers forming a series of squares.

Thus, in the upper two rows we have a square of blanks, and a square of four $3$'s, and a square of $4$'s, and a square of $1$'s and so on.

This is, in fact, a perfect solution under the conditions usually imposed,

but what I now ask for is an arrangement with no blanks anywhere on the outer edge.

At present every number from blank to $6$ inclusive will be found somewhere on the margin.

Can you construct an arrangement with all the blanks inside?

Here is one solution:

Domino problems of this type, called quadrilles, date back some way.

More recently, they appeared in an issue of Recreational Mathematics Magazine of $1964$.