The engraver's lateral inversion
A certain number of Medieval labyrinths are reproduced in lateral inversion (mirror-image). Kern gives a drawing of the Sens labyrinth (Kern No 289) in which the entry is from the right and the main direction of rotation is counterclockwise. Likewise Amé, for the labyrinths of St-Quentin and St-Omer. Even if they no longer exist, these three floor labyrinths are known from other sources and we know that they were not inverted.
When books were illustrated with engravings, the engraver had to invert laterally his image in order for it to appear right when printed. Failure to do so would result in an inverted image (mirror-image of the intended original). In more recent books, the same result can be caused by placing a photo negative face down. This is even sometimes done intentionally by the editor.
This possibility of course means that we can rarely be certain that a printed illustration has not been laterally inverted, and that it is really in the right "version".
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Villard de Honnecourt and the Chartres labyrinth laterally inverted
Villard de Honnecourt, draftsman and probably architect, of the 13th century, must have seen the building of the floor labyrinths. He left us an album of drawings of architectural and other subjects. The National Library of France has on its site a complete set of reproductions of those drawings. In Villard's album, there is a drawing of the Chartres labyrinth in its "script" version (that is, without decorative motifs). Some commentators think it could be a recording of the Chartres floor labyrinth made by Villard visiting Chartres.
Now, that drawing is laterally inverted. It cannot be a case of the engraver's inversion (see previous paragraph), since Villard's drawing was reproduced directly from the original parchment. It is not either an inverted negative, since this drawing is on the back of a folio whose face has text that is not inverted, and where we can see through the parchment the drawing of the labyrinth, which is really inverted.
I think that no draftsman or architect, drawing from direct observation an object of the geometric complexity of the labyrinth, would take the trouble of inverting it. Also, the other drawings of the album all seem to be "right" (that is, not laterally inverted): arms, tools, music instruments are all in the right hand of the figures holding them; likewise, most significative gestures are made by the right hand of the figures. Therefore lateral inversion was not a common practice for Villard.
Furthermore, I think that a technical observer, which Villard was, drawing the Chartres labyrinth, would certainly have included in his drawing at least some of its decorative motifs.
Could Villard have drawn the Chartres labyrinth from memory? Then the lateral inversion would be less surprising, but the absence of the decorative motifs remains improbable. The drawing shows no sign of hesitation or corrections: such a drawing made from memory is not possible without corrections, except if Villard was already familiar with drawing labyrinths, which seems improbable since his album contains no other labyrinth. He may have used other drafting surfaces to make the necessary geometric and rhythmical constructions, but this is also improbable, since all the other drawings of the album seem to have been drawn directly and without preparation. The album seems to be only a travel sketch book.
The other drawings on the page are simple drawings of animals without any architectural interest (a dog, a cat (or two cats), a dragonfly, a fly, a crayfish, a grasshopper). If it had been the Chartres labyrinth drawn on location, I think it would have been placed among other drawings concerning Chartres or architectural details. Villard considered that labyrinth as a simple curiosity, no more.
From all this I conclude that Villard did not draw the Chartres labyrinth on location, but copied that drawing from another source.
What could be that other source? There are very few laterally inverted (left-handed or counterclockwise) medieval labyrinths. No known floor or manuscript labyrinth represents the Chartres model inverted. Did Villard know of a now lost - and still unknown - tradition of drawing the medieval labyrinth laterally inverted?
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Heiric of Auxerre's labyrinth
The oldest known manuscript with the medieval labyrinth model completely developed is attributed to Heiric of Auxerre (Kern No 186). It is dated from around 860.
It is a relatively clumsy drawing of the model which will eventually become that of the floor of Chartres cathedral, and which is identifiable by the placement of the crossings. The circles are traced with compasses (with a pen too soft for that kind of work, which shows through thickness variations in the line); the spacing between the circles is not consistent (because of imprecise adjustments of the compasses, which is frequent in manuscript labyrinths); straight lines are drawn "free-hand" and with little care; the radial part of the path entering the central medallion is three times too wide (traces of corrections, visible on the picture, indicate that it was first correctly drawn and widened afterwards). The entry is facing upwards (antique Cretan labyrinths were often drawn with entry facing upwards).
Kern (p. 114) considers that drawing as "an incomplete first draft of the Chartres-type labyrinth, a kind of prototype in which what were to become semi-axes are not yet firm barriers but have been drawn mistakenly as slanting obstacles that can be negotiated in the manner of a slalom".
Quite to the contrary, I believe that the Chartres model is already completely present in that drawing, and that the illustrator is trying to do something quite different from simply drawing correctly the walls of the crossings.
I think the draftsman was looking for a technical device making possible a reversible transformation between two different models of labyrinths: some technically surprising tentative to surpass that Chartres model towards other suspected but yet unknown models. Maybe that draftsman even was, as I am, looking for the way to find all the possible labyrinth models.