Appears to be a perfect Electrolux Model LX hose. If the hose is actually as nice as it appears in the photo, with the coloring as rich and vivid as it seems to be (and not tweaked in Photoshop), then it really is a nice, rare find.
Is this the same hose that you mentioned on your web-site?
I remember visiting your web-site with a REALLY Grand Tour of your Electrolux collection. I stumbled over it right after I had picked up my Electrolux AE (that I go on and on and on about!).
(BTW -- I did send a message to you regarding that visit via this site; hope that you got it.)
If I remember correctly, you specifically pointed out this type/pattern of hose. I did see it on eBay - but the only drawback was that it didn't look to have the suction adjusting feature. But, read about the "arrow" design part - and it DID remind me of you, your web-site, and a very kind message that you had sent me prior to becoming aware of this site. Thanks Charles.