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Signing UpStep 1: Material
-Reflex body cap (for my Nikon D40 the BF-1A) 5 euro
-Magnification lens (diameter 10cm, focus about 280mm) 5 euro
-PVC pipe reduction D=10cm to 5cm 2 euro
-PVC pipe D=10cm 1 euro
-PVC maintenance joint for 10cm pipes 9 euro
-Self adhesive black velvet (and optional black rugged self-adhesive)
-some screws
I also used a saw, a drill and a threader and screwdriver.










































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Since you have a lot of manual skill, I suggest some alternatives for improvement this:
1) buy a cheap pair of binoculars, for those Chinese or Taiwanese, and use one objective. Maybe you need to mount the lens on cardboard.
2) You can enhance easily and cheaply the spherical aberration of your cheap lens: take a flat glass, an o-ring with outer diameter equal to or slightly lower of the lens; build a sandwich lens / o-ring / glass; fill the space between the lens and the glass with clean glycerin or alcohol; seal the joints with silicone.
You can replace the o-ring whit a seal of car's oil filter, but you must wash it very well.
The result will be not perfect, but will be better.
"...In all modern lenses the surface is coated to reduce abrasion, flare, and surface reflectance, and to adjust color balance..." ;
"...Today, most lenses are multi-coated in order to minimize lens flare and other unwanted effects. Some lenses have a UV coating to keep out the ultraviolet light that could taint color...";
"...The introduction many years ago of optical coatings, and advances in coating technology over the years, have resulted in major improvements, and modern high-quality zoom lenses give images of quite acceptable contrast,..."
(http://en.wikipedia.org/wiki/Photographic_lens)
according to your theory a 280mm focus would be 0,89X
<1 X means that the lense don't magnify but reduce the image, but positive lenses magnify so its always >1X.
For binoculars, microscopes and telescopes the Ax has a meaning, the focus of lens is A times the focus of the eyepiece. but in single lenses?
something similar to what you say is diopter= 1/(focal length in meters) so 1000mm is +1, 200mm is +5, 400mm is +2.5, 100mm is +10