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But they are Faldage! I went back to Rubrick's link and re-checked. I meant the pillar that the man's right hand is on and the one on the extreme left of the sketch. Both these pillars are in direct alignment with the ones immediately above them. Am I missing something else?
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Carpal Tunnel
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Carpal Tunnel
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missing something else?The upper level and the lower level both have a rectangular floor plan, with one dimension greater than the other. The two longer dimensions are at right angles to each other in the horizontal plane. Therefore, if the left front corners are aligned vertically, the right rear corners will not be and vice versa.
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Indeed, Faldage! Let me change that point to: Of the eight pillars that join the two storeys together, only the extreme right and the extreme left behave normally, though they are not supposed to, considering the different dimensional perspectives of both storeys. Assuming the man on the bottom storey is looking eastward, the floor of this storey is in an east-west direction. The pillars of this storey are however aligned deceptively in the north-south axis, akin to the direction of the woman's gaze (the one on the top storey) and hence, the effect of alignment between all pillars. Edit: all pillars - changed to - the extreme right and left one.
if i continue anymore in this vein, this will convert into an Eschersque post. Ahem...
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Carpal Tunnel
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Carpal Tunnel
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I'm enjoying the quid-pro-quo between maahey and Faldage even though I have only half a clue what they're talking about.
Sometimes non-word posts here are extremely illuminating. I'm waiting for that "A-Ha!" moment.
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Carpal Tunnel
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I see what you're trying to say, but I still can't agree with you. If you restrict your view to the area where the two levels merge, the area where the guy in the cowl, near the top of the ladder, is, all the pillars are in direct alignment with the ones immediately above them. It's only when you take a full view of both levels that the discrepancies appear, and then you see that of the two extreme pillars, at most one can be considered possible. It could be either one but it can't be both simultaneously.
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seems to me a rather strange concept...
Anyway, what is incoherent is the height of the eight pillars. Assuming that they have the same height in "reality", and assuming given the eight "basis points", AFTER FIXING ONE PILLAR - the left one, say - the perspective rules would force directly the heigth of the top points in the drawing ... and they are wrong indeed.
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Carpal Tunnel
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So, if I understand this correctly, it's all an illusion? 
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Pooh-Bah
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It's cloud illusions I recall
I really don't know clouds at all
Joni Mitchell
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...at most one can be considered possible. It could be either one but it can't be both simultaneously.
Right you are, Faldage! But isn't this what Escher's work is about - the art of making the impossible, possible, simply by playing on idiosyncrasies of perspective and perception!
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as far as I know, there are (in some science museums) models for the " impossible cube". Looking from a fixed point of view, you can see exactly that cube, but walking around the exhibit you can see how it is made ( not connected, " broken" )
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