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There have been many airplane designs, some of which actually flew. There is a saying in the airplane industry that goes like this:

If it's ugly, it is British, if it weird, it is French, and it is ugly and weird, it is Russian.

Just to prove my point, here are a few of those designs. Just remember, I said a FEW of them actually got airborne.

One of them that flew, and very well, was is the Edgley EA7 Optica

The Optica made its its first appearance, and at the 1981 Paris air show the announcement of a first production order was made - 25 for an Australian distributor. Have not heard of any other takers. Give them a call if you are interested.
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Britain’s Miles M.39 Libellula

Britain's Miles M.39 Libellula, was a swept-wing, twin-engine, medium bomber demonstrator that flew in 1943. The three-man attack aircraft was designed to deliver a 2,000 lb. payload more than 1,500 miles (2,400 km) at 400 mph. Never was put into active service.
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The French Blerit 125

Designed as an airliner, this very unconventional aircraft was first revealed at the 1930 Paris Salon de I’Aeronautique.

When flown the following year, it displayed very poor flight characteristics and although attempts to improve it continued on into 1933, certification could not be achieved and the sole prototype was scrapped the following year.
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The K-7

This plane was designed by World War I aviator and Soviet aircraft designer Konstantin Kalinin at the aviation design bureau he headed in Kharkiv, Ukraine, It was one of the biggest aircraft built before the jet age. It featured an unusual arrangement of six tractor engines on the wing leading edge and a single engine in pusher configuration at the rear.
It did fly, though, but just long enough to crash.
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The Flying Boat” - Caproni Ca. 60

A 9-winged, 74-foot long, 31-foot tall prototype with a 100-foot-long wingspan, weighing well over 30,000 pounds, with 4 propellers powered by 8 piston engines, each with 400-horse-power! It was meant to be a luxury vessel capable of carrying 100 passengers.

The ‘Flying Boat’ fell apart on it’s second test flight, shortly after taking off, crashing into the water, and damaging the failed experiment beyond repair.
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Vought V-173

Yes, Americans entered the competition for weird with this little model.

Designed as an “all-wing” aircraft by Charles H. Zimmerman, this bright yellow experimental craft was developed during WWII, and continued to be flight tested until 1947, when the US Navy realized that it served little to no practical use
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The Russian "Caspian Sea Monster”

This was one of the largest (and heaviest) aircraft ever constructed! Developed by the USSR’s Central Hydrofoil Design Bureau in 1964, for the Soviet Navy. The KM was unceremoniously destroyed when it crashed into the Caspian Sea, due to pilot error and slowly sank to the bottom of the sea, never to be recovered…
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