Intermission; The Impossible Tablecloth

You all know this:

lastsuppergiampietrino
Not Da Vinci’s, but the exact copy by  Giampietrino.

 

There is, however, one curious detail about Leonardo’s *Tablecloth* that no-one has ever commented on before. It is an IMPOSSIBLE TABLECLOTH.

Note that it is one continuous piece. It has quite obviously been folded away prior to use. The fold-pattern is quite distinct, and unwaveringly accurate. Da Vinci really nailed it. There are 17 fold-lines lengthwise, and by my estimation 8 or 9 cross-ways. By careful observation and calculation, I’ve decided his table is 4.650 metres long (15′ 4″)

detaillastsupper
And they are grabby! (Also note that they all have the exact same feet. Clones?) 

Here are my conclusions:
The entire cloth was folded into a ‘pack’ approx 300mm by 150mm (or 1′ x 6″ if you live in that backwards place that still uses ‘Imperial’ measure [note the irony in that?]). Thus the single piece of fabric was folded into a bundle upwards of, if not more than 128 layers thick!
My estimate of 128 layers is based as follows:

LENGTH-WAYS:
1st fold gives 2 layers (cloth block now 3m long)
2nd fold gives 4 layers (cloth block now 1.5m long)
3rd fold gives 8 layers (cloth block now .75 long)
4th fold gives 16 layers (cloth block now 300 – 400mm long)

[note that this estimate does not match the observed cloth – which shows 17 foldlines, not 15 as it would according to my simplification]

WIDTH-WAYS:
1st fold doubles that to 32 layers
2nd fold doubles again to 64 layers
3rd fold to a final of 128 layers thick!

If you fold anything that often you’ll soon discover that:
A: it’s damn-near impossible [the Mythbusters tried this], but if you do succeed –
B: the fold-lines become progressively less distinct, and spread wider.
But Leonardo’s fold-lines are *completely consistent*. (I’ve measured them) He has depicted an Impossible Table Cloth.

I have found no other discussion of this detail anywhere on the internet, which astonishes me. Are people that unobservant?

I’ll leave you with this:

final-lastsupper
Something I did last year, featuring characters from anime ‘Azumanga Daioh’.

 

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2 thoughts on “Intermission; The Impossible Tablecloth

  1. Cool picture, but you missed out my favourite character – Chiyo-chan’s father!

    As for the tablecloth, I wonder if you’ve overlooked the most obvious explanation. Clearly this is an important event, so someone took care to make sure the tablecloth looked nice. They might easily have ironed it, and specifically added the creases! As a guy who does his own ironing, I love seeing this level of attention to laundry detail.

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