Richard Man
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These stuff are known to many people in this forum, but I didn't find any concise summary, so here goes. Note that I am not a lens designer, I just like to look at pretty pictures, so if there are errors in this post, my apology in advance.
It is often said that the Biogon lens is a "near symmetrical" design. Plus, a well known blogger wrote "..the Mamiya (7) 43mm is a copy of the better, original 10 element Biogon..." this quote by Ken Rockwell has been repeated many times, usually leaving off the end of his sentence: "...first used in the 75mm f/4.5 lens for view cameras."
So first of all, is the Biogon a "near-symmetrical" design? Here's the Biogon diagram from the 1954 patent application. You can see Mr. Bertele signature:
I am not a lens designer, and while the two halves look sort of similar in overall profile, one has to squint a lot to say that the halves are symmetrical. Certainly, I highly doubt the lens would image correctly if you swap the halves, which would be IMHO, a test for a true symmetrical design.
Here are two examples of symmetrical design:
1) The Schneider Super Angulon large format lens
2) and the famous Dagor ("Double Anastigmatic Goerz"), also a large format lens
They are very symmetrical.
How about Mr. Rockwell's claim that the Mamiya 7 43mm is a better copy of the original 75mm Biogon? I can't find a separate lens diagram that shows the 75mm Biogon, but according to the Zeiss document, the initial batches of postwar-Biogon (21mm, 38mm, 53mm and 75mm) were designed at the same period, with no indication that they use different lens formulations. Here's the Biogon 38mm lens diagram:
Which to my eyes, look just like the diagram in the patent. I would say that any negative statement about the Biogon 38mm being a simplified copy is not supported by facts.
And the Mamiya 43mm lens diagram? As far as I know, there is no 43mm lens diagram on the web anywhere. However, I did own the lens once and have the instruction manual, which conveniently, has the lens diagrams:
Certainly not an exact copy of the one in the patent. May be the 75mm Biogon is different and closer to the Mamiya 43mm lens? Anyone knows definitively?
For further references, here's Schneider designed Leica 21mm Super Angulon:
and the modern 21mm ZM "Biogon" lens, which does not look at all like a Biogon:
I have the 25mm ZM which I believe has the same profile. The 35mm Biogon C ZM also does not look at all like the Biogon, so it is clear that Zeiss is now using the word Biogon as a brand, rather than a design.
This is actually not the first time they changed what is a Biogon. Apparently there was a Biogon design, also done by Mr. Bertele, prior to WWII. However, when he designed the new series of lens during the post-war period, Zeiss opted to reuse the name. This is why I used the phrase "postwar-Biogon" above.
Regardless, while the Biogon is not symmetrical and probably not even near-symmetrical, even in 2015, the Biogon design in the form of the Hasselblad SWC various incarnations, is still one of the best lens and produces amazing images.
It is often said that the Biogon lens is a "near symmetrical" design. Plus, a well known blogger wrote "..the Mamiya (7) 43mm is a copy of the better, original 10 element Biogon..." this quote by Ken Rockwell has been repeated many times, usually leaving off the end of his sentence: "...first used in the 75mm f/4.5 lens for view cameras."
So first of all, is the Biogon a "near-symmetrical" design? Here's the Biogon diagram from the 1954 patent application. You can see Mr. Bertele signature:
I am not a lens designer, and while the two halves look sort of similar in overall profile, one has to squint a lot to say that the halves are symmetrical. Certainly, I highly doubt the lens would image correctly if you swap the halves, which would be IMHO, a test for a true symmetrical design.
Here are two examples of symmetrical design:
1) The Schneider Super Angulon large format lens
2) and the famous Dagor ("Double Anastigmatic Goerz"), also a large format lens
They are very symmetrical.
How about Mr. Rockwell's claim that the Mamiya 7 43mm is a better copy of the original 75mm Biogon? I can't find a separate lens diagram that shows the 75mm Biogon, but according to the Zeiss document, the initial batches of postwar-Biogon (21mm, 38mm, 53mm and 75mm) were designed at the same period, with no indication that they use different lens formulations. Here's the Biogon 38mm lens diagram:
Which to my eyes, look just like the diagram in the patent. I would say that any negative statement about the Biogon 38mm being a simplified copy is not supported by facts.
And the Mamiya 43mm lens diagram? As far as I know, there is no 43mm lens diagram on the web anywhere. However, I did own the lens once and have the instruction manual, which conveniently, has the lens diagrams:

Certainly not an exact copy of the one in the patent. May be the 75mm Biogon is different and closer to the Mamiya 43mm lens? Anyone knows definitively?
For further references, here's Schneider designed Leica 21mm Super Angulon:
and the modern 21mm ZM "Biogon" lens, which does not look at all like a Biogon:
I have the 25mm ZM which I believe has the same profile. The 35mm Biogon C ZM also does not look at all like the Biogon, so it is clear that Zeiss is now using the word Biogon as a brand, rather than a design.
This is actually not the first time they changed what is a Biogon. Apparently there was a Biogon design, also done by Mr. Bertele, prior to WWII. However, when he designed the new series of lens during the post-war period, Zeiss opted to reuse the name. This is why I used the phrase "postwar-Biogon" above.
Regardless, while the Biogon is not symmetrical and probably not even near-symmetrical, even in 2015, the Biogon design in the form of the Hasselblad SWC various incarnations, is still one of the best lens and produces amazing images.