Amusements in Mathematics eBook

Henry Dudeney
This eBook from the Gutenberg Project consists of approximately 597 pages of information about Amusements in Mathematics.

Amusements in Mathematics eBook

Henry Dudeney
This eBook from the Gutenberg Project consists of approximately 597 pages of information about Amusements in Mathematics.

The word “labyrinth” is derived from a Greek word signifying the passages of a mine.  The ancient mines of Greece and elsewhere inspired fear and awe on account of their darkness and the danger of getting lost in their intricate passages.  Legend was afterwards built round these mazes.  The most familiar instance is the labyrinth made by Daedalus in Crete for King Minos.  In the centre was placed the Minotaur, and no one who entered could find his way out again, but became the prey of the monster.  Seven youths and seven maidens were sent regularly by the Athenians, and were duly devoured, until Theseus slew the monster and escaped from the maze by aid of the clue of thread provided by Ariadne; which accounts for our using to-day the expression “threading a maze.”

The various forms of construction of mazes include complicated ranges of caverns, architectural labyrinths, or sepulchral buildings, tortuous devices indicated by coloured marbles and tiled pavements, winding paths cut in the turf, and topiary mazes formed by clipped hedges.  As a matter of fact, they may be said to have descended to us in precisely this order of variety.

Mazes were used as ornaments on the state robes of Christian emperors before the ninth century, and were soon adopted in the decoration of cathedrals and other churches.  The original idea was doubtless to employ them as symbols of the complicated folds of sin by which man is surrounded.  They began to abound in the early part of the twelfth century, and I give an illustration of one of this period in the parish church at St. Quentin (Fig. 1).  It formed a pavement of the nave, and its diameter is 341/2 feet.  The path here is the line itself.  If you place your pencil at the point A and ignore the enclosing line, the line leads you to the centre by a long route over the entire area; but you never have any option as to direction during your course.  As we shall find in similar cases, these early ecclesiastical mazes were generally not of a puzzle nature, but simply long, winding paths that took you over practically all the ground enclosed.

[Illustration:  FIG. 1.—­Maze at St. Quentin.]

[Illustration:  FIG. 2.—­Maze in Chartres Cathedral.]

In the abbey church of St. Berlin, at St. Omer, is another of these curious floors, representing the Temple of Jerusalem, with stations for pilgrims.  These mazes were actually visited and traversed by them as a compromise for not going to the Holy Land in fulfilment of a vow.  They were also used as a means of penance, the penitent frequently being directed to go the whole course of the maze on hands and knees.

[Illustration:  FIG. 3.—­Maze in Lucca Cathedral.]

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Amusements in Mathematics from Project Gutenberg. Public domain.