Mathematical recreations and essays . Romae, pp. 92, 178. 186 UNICURSAL PROBLEMS [CH. IX cathedrals at Lucca, Aix in Provence, and Poitiers; and onthe floors of the churches of Santa Maria in Trastevere atRome, San Vitale at Ravenna, Notre Dame at St Omer, andthe cathedral at Chartres. It is possible that they were usedto represent the journey through life as a kind of pilgrimsprogress. In England these mazes were usually, perhaps always, cutin the turf adjacent to some religious house or hermitage: andthere are some slight reasons for thinking that, when traversedas a religious exercise, a pa


Mathematical recreations and essays . Romae, pp. 92, 178. 186 UNICURSAL PROBLEMS [CH. IX cathedrals at Lucca, Aix in Provence, and Poitiers; and onthe floors of the churches of Santa Maria in Trastevere atRome, San Vitale at Ravenna, Notre Dame at St Omer, andthe cathedral at Chartres. It is possible that they were usedto represent the journey through life as a kind of pilgrimsprogress. In England these mazes were usually, perhaps always, cutin the turf adjacent to some religious house or hermitage: andthere are some slight reasons for thinking that, when traversedas a religious exercise, a pater or ave had to be repeated atevery turning. After the Renaissance, such labyrinths werefrequently termed Troy-Towns or Julians Bowers. Some ofthe best specimens, which are still extant, or were so untilrecently, are those at Rockliff Marshes, Cumberland; Asenby,Yorkshire; Alkborough, Lincolnshire; Wing, Rutlandshire;Boughton-Green, Northamptonshire; Comberton, Cambridge-shire; Saffron Walden, Essex; and Chilcombe, near Maze at nA7«ipT0N Court. The modern maze seems to have been introduced—probablyfrom Italy—during the Renaissance, and many of the palacesand large houses built in England during the Tudor and theStuart periods had labyrinths attached to them. Thoseadjoining the royal palaces at Southwark, Greenwich, andHampton Court were well known from their vicinity tothe capital. The last of these was designed by London an,dWise in 1690, for William III, who had a fancy for suchconceits: a plan of it is given in various guide-books. Forthe majority of the sight-seers who enter, it is sufficiently CH. IX] UNIGURSAL PROBLEMS 187 elaborate; but it is an indifferent construction, for it can bedescribed completely by always following the hedge on oneside (either the right hand or the left hand), and no node isof an order higher than three. Unless at some point the route to the centre forks andsubsequently the two forks reunite, forming a loop in whichthe centre


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