All posts by david

Geometric illusions, Optical Illusions, The Poggendorff Illusion

Padoxical illusions

morinaga's illusion

This is Morinaga’s paradox – two illusions in one, but two illusions that contradict one another. First note the vertical alignment of the arrow points. Don’t the tips of the inward pointing arrowheads, top and bottom, appear to be located just a little further inwards than the tips of the middle, outward pointing arrowheads? That could only be right if the horizontal space between the tips of the (top and bottom) inward pointing arrowheads was slightly less than the space between the tips of the (middle) outward pointing ones. But that’s not how it looks. The inward pointing arrowheads look further apart than the outward pointing ones.

In reality both judgments, of vertical alignment and of the horizontal gaps, are illusions.  The tips of the arrows are perfectly aligned vertically, and the horizontal gaps between the three sets of arrowheads are all exactly the same. That last effect is a version of the Muller-Lyer illusion.

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Impossible worlds (inc. staircases), Optical Illusions

Scrambled space

sqtemp1

One of surrealist painter Rene Magritte’s cleverest paintings, Carte Blanche, is of a rider in a wood, but all mixed up with the trees. I had a shot at playing with the same effects in the earlier Halloween post.  This time, I’ve tweaked up the complication with an impossible figure/ground reversal half-way up the columns, (in the manner of the impossible fork illusion – see our earlier post Outlines, objects and apertures).

A while back I tried out a similar figure/ground scenewarp in one of the picture pairs for an optical illusion cartoon story, Opticaloctopus.

Optical Illusions

Pixelated faces

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Who’s this?

pixilated celebrity

 Yes, it’s Shakespeare!   Back in 1973 researchers Leon Harmon and Bela Julesz produced their famous Lincoln Illusion.  They demonstrated effects when an famous image of a face, such as Abraham Lincoln’s, is pixelated quite coarsely.  We can still recognise it easily if the pixelated version is either blurred (as to the right here – it’s a blurred version of the pixelated image, not of the original), or reduced in size, as if seen from a distance. Just three years after the original Scientific American article that made the effect widely known, Salvador Dali based a picture on the Lincoln image. (Michael Bach’s site shoes the original Lincoln image, the Dali picture and a clever interactive demo).

Note the tiny Shakespeare perched in the very bottom right corner of the left hand, pixelated image above.  It’s just the pixelated image reduced.  If you move away from the screen a few feet, you’ll find that the two large images of Shakespeare come to look more and more alike.  It’s odd how even small details of the face seem to appear.  If you want to try it with faces you know, I think it works best with about seventeen pixels along the longest dimension of the picture.  It does work best with an iconic, image – a photo everyone knows – rather than just a face you know.

So who have we here?

Pixelated celebs

I think you’ll have got those, but otherwise (and for more stuff) …

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Ambiguous images, illusions and aesthetics

Mosaic illusions

Mosaic floor at Casale

 

Here’s another example of the way illusion effects have been used in decorative art designs. (For examples in earlier posts, check out the category Illusions and Aesthetics, to the right). This mosaic is one of many from the Villa Romana del Casale, in the middle of Sicily, Southern Italy. Only the floors of this Roman villa are left. They are about 1700 years old, and are the largest expanses of mosaic floor surviving from the ancient classical mediterranean world.

The illusion comes in because different shapes in the design tend to pop out from one moment to the next. For example, in the pictures below I’ve selected out a star and a string of lozenges in the picture on the left, and then a hexagon shape in the picture on the right. Note that the hexagon interlocks with the star beside it with no gaps between them or overlaps, but when we select one, the other kind of vanishes, not only in these demo pictures, but even in the big picture at the start of the post. It’s a figure/ground effect, as in the faces/vase illusion, but without the dramatic light/dark contrast of faces and vase.

Mosaic floor demo
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Geometric illusions, Optical Illusions

Zöllner versus the Twisted Cord

This effect is a bit size sensitive.  It works for me with the diamond about 13 cms or 5 inches wide on my screen, and also a bit larger, but not much smaller.  I think resolution will need to be good too.  All being well, It should show one illusion being overcome by another. All the bars are parallel, but they look wonky. In the top set of four, for example, do the middle pair of bars look just a little further apart near the centre line of the image than towards the upper right edge?  The flanking pairs of bars (still just looking at the top set of bars) look to me closer together at the mid-line than at the upper edge. In other words, that upper right set of bars look like they’ve rotated just a touch, opposed to the orientation of the blurry stripes behind them. (That’s the Zöllner illusion). Now check out the lower set of four bars.  For me, they look like they’ve rotated in just the same direction – but that’s odd, because I’ve mirror reflected the stripes behind them, so that the stripes have changed direction. So those lower bars appear to have rotated so that they end up slightly more aligned with the stripes behind them.

How so?  You’ve guessed, it’s to do with those thin white stripes I’ve added to the lower set of bars. They turn the bars into another illusion of orientation, the twisted cord illusion.  The way I’ve done it, that sets the two illusions in competition, and as a result you’d expect the four lower wonky bars to end up looking about just about parallel. That’s about what happens, for example, when the Zöllner illusion goes head to head with the size-constancy illusion.  But instead, the twisted cord can overcome the Zöllner illusion. Now, that’s very interesting ……

 

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Soap bubble pictures

Funky Wind Turbine

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Like my other soap bubble pictures, this one is fantasy rather than illusion, and the only miracle going on is thanks to Photoshop.  The wind turbine is in Cornwall, as far as you can go in the pointy bottom left hand corner of England without falling off the end.  The bubbles start out as real ones, and see my earlier post for how I photograph those.  (Also for how other photographers have done it).  For more of my bubble pictures, click on soap bubble pictures in the categories list to the right.

There is a perceptual point to this bubble picture though.  When you look at it, do you find that you can almost imagine what it would feel like to be the wind turbine, making this serpentine gesture?  A bit as if you were about to whack a football into a goal with your head, maybe?  That wouldn’t be such a surprise if this was a picture of a human being.  One of the most interesting discoveries of recent years has been of “mirror neurones” in the brains of primates.  These are brain circuits, associated with real movements or gestures, but which fire off without consequent movement when we merely observe someone else making a gesture.  But it’s curious that we can have the same kind of experience when we see a picture of a wind turbine, merely behaving like a person.

Geometric illusions, Optical Illusions, Size-constancy effects

Bressanelli and Massironi’s new illusion

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Here’s another illusion only recently reported, by Daniella Bresanelli and Manfredo Massironi of the Universities of Padua and Verona.  Look at the three shapes, and most people seem to see the bottom one as thinnest, judging width at right angles to the long edges, the middle one as a bit fatter, and the top one as widest of all (still judging width at right angles to the long edges).  In fact, they’re all the same width, and the two bottom shapes are also identical, just rotated in relation to one another.

What’s going on?  If you devour technical articles like snacks, see Bressanelli and Massironi’s paper.  Otherwise …

 

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Optical Illusions, Size-constancy effects

Lamp falling over!

Only joking, but the right hand picture does seem to show this old lamp near me leaning over more than it does in the left hand picture.  But now check out the two pictures.  They’re identical!  It’s an illusion only recently reported by Frederick Kingdom and colleagues in McGill University (scroll down that link for their bit).  It’s yet another demonstration of the strength of the size-constancy effect.  (See my earlier posts on the wonky window and paradoxical size-constancy).  What’s remarkable about the McGill report is that it shows size-constancy coming into play even across the gap between two clearly separate pictures. I guess it means that at an early stage in trying to make sense of the visual scene, the brain just accepts the consistent depth cues in the two pictures as signalling that they are both part of one spatial scheme.

As Kingdom and colleagues demonstrated, the effect also works horizontally.  Here’s a demo:

This time the platform looks pretty much the same in the two pictures (as it is – the pictures are of course once again identical). But rails to the right, seen at a more oblique angle, seem to point a bit more towards vertical in the right hand image than in the left hand one.

Impossible worlds (inc. staircases), Optical Illusions

The twisted castle


This is another transformation based on one in my illusion cartoon story.  I did it to see whether I could devise an adventure, set in graphic world, with transformations that are forbidden in our everyday world as the events that take the story forward.  Most of the transformations, like this one, offer an escape route for a character being pursued.  Not very imaginative.  I did also have animation in mind, and working out this particular 3D morph would be no joke.  It’s based on the four sided version of the famous impossible triangle, with added extensions for the towers, as above.  For the classic impossible tribar, see my earlier post on Escher’s Waterfall Explained.  For impossible figures with four sides and more, check out Gershon Elber’s site.   

Optical Illusions

Tonal contrast

 

The local tones and colours we see in a scene or image are hugely affected both by the tonal and colour balance of the scene as a whole, and also by the tones and colours immediately adjacent to the patch we are focussed on.  The effects can be subtle.  Here’s a demo of one, called the Munker-White illusion.  The bat (well, it’s a sort of bat shape), in the left hand fractal pattern (it’s a Peano-Gosper curve), looks pale, and the one in the right hand pattern looks dark.  And yet the mid tone components of the bat in the left hand image are in fact exactly the same tone and colour as the mid-toned components of the bat to the right.

 

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