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Three dimensional world of wonders


This part contains some information about 3-D pictures, it will contain a description of the way one can see the image 3 dimensional, as well as some simple examples which I've made quite some time ago...


The theory behind the 3-D pictures

On first sight it may appear that these 3-D pictures (the professional ones, that is) are just constructed of 'random garbage' or that they simply don't contain a 3-D image at all.
The type of pictures which I've made won't look like random garbage since I've only used some simple structures (like letters) to obtain the 3-D effect.
It takes a computer program (or a lot of skill) to draw a picture which contains smooth 3-D images like a face or something.

The basic idea behind the 3-D images is that the brain merges the two images which it receives from the eyes into one 3-D image, in natural life this is the way the brain 'simulates' the depth, this implies that one at least needs to be able to look with both eyes, otherwise one can never see depth.
Since the depth we perceive is thus merely a simulation we can fool our brain into thinking we're seeing depth in a 2-D image, this is the method which is being employed to see the third dimension in the pictures.
When you closely study the 3-D pictures you'll see that they consist of horizontally repeating structures, ideally (but not necessarily) these structures are located at some 2,5 cm distance of one another.
By making small variations in the distances between the repeating structures our brain is fooled into believing that it notices depth; repeating structures which are close to one another appear to come to the foreground whereas structures which are further apart appear to be located in the back.
By properly making use of small variations in the repeating structures it is thus possible to 'fake' the third dimension.


The viewing technique

It takes some practice to be able to see the 3-D images, in natural life we both focus and accomodate our eyes on objects to obtain a sharp (3-D) image, this works since we're looking at objects which actually have 3 dimensions.
The way to see the third dimension in a 2-D picture (thus where there isn't actually a third dimension), is to deliberately diverge the eyes in such a way that you don't focus on the drawing but that you do accomodate on it.
This may sound like something which is hard to achieve and to tell you the truth, the first times it is.
However, with some practice and some tricks it's quite possible to see the images within a short while, it varies from person to person how long it'll take for you to see the depth, the very first time I saw the depth took me about 5 consecutive minutes to get it and as soon as I moved my eyes I immediately lost the image!
This is something which at first is very discouraging, but with a little bit of practice and perseverance it'll go faster and better each time, by now I can immediately put my eyes in the correct position so I can see the third dimension within a few seconds.
O.k., here are some small hints as to the viewing techniques, there are basically 3 different ways to obtain the desired result:

The first method is (IMO) the most difficult one since I find it very hard to keep my eyes cross-eyed for enough time to see the image (as a matter of fact I've never succeeded to see the third dimension this way), a funny sidenote is that one will see the 3-D image mirrored this way.
The second method is a method which is pretty often used, this is also the reason why the majority of the professional books have reflecting pictures, what one basically does is to search for a recognisable reflection (e.g. of yourself) in the drawing and to focus on that reflection, this way one doesn't focus on the drawing itself, thus (when done properly) one will see the third dimension.
The third method is the method which I used to apply, I think this is the simplest method, at first you hold the drawing against your nose, because of the small distance between the eyes and the image you're unable to focus on the drawing, which is exactly what we want to achieve.
After comfortably staring a while at the drawing you'll notice that the image starts to change, it becomes a bit blurry, this is the moment when you start to perceive the depth, at this time you have to slowly(!) move the image away from your face and try to make out the 3-D images.
This method will eventually work although you probably won't see a thing on your first attempts, keep trying though since it's worth the trouble and with a bit of practice it's easy to see the third dimension on later attempts.

Success!


Some 3-D images

Here are some 3-D pictures which I've made myself, they are very simple but they illustrate the idea pretty well, maybe I'll write my own 3-D program some day, but for the moment I haven't got any aspirations as to doing so.

The first image just contains my name (15 Kb) written in 3-D, the letters will form a kind of pyramid-like depth, this image doesn't contain a hidden 3-D image but rather the difference in depth.

The second image contains a small hidden object, being a simple square (27 Kb), this drawing effectively shows the way to 'hide' an object in a 2-D picture.

The third image contains my sign (18 Kb) in such a way that it will appear to fold when one sees the 3-D effect.

The fourth image contains a message (34 Kb) which I made for my ex-girlfriend some time ago, please don't take this message personally...:)

Good luck in viewing the 3-D images and I'm always available for nice comments or hints...!


Links to other pages

This page also has some stereograms