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No. You should purchase a case specific for the Galaxy S6 edge.
The Galaxy Note Edge is a great device. The device has many great reviews.
Rumors on the Galaxy S6 include a more metallic build, possible "edge" display on both sides (similar to the Samsung Galaxy Edge), 64-bit CPU, continued improvements to its TouchWiz UI interface, camera, display and the like, wireless and quick charging, and improvements to the LTE radio.
The earth exists on the edge of the Milky Way galaxy.
An elliptical galaxy, seen "face-on". (E7 would be "edge-on".)
It looks like a flat disc. See related link for a picture of the Sombrero galaxy edge on.
The cast of The House at the Edge of the Galaxy - 2013 includes: Richard Manichello Grayson Sides as Boy
Shadowmire Edge.
A galaxy doesn't have a clearly-defined edge, just as Earth's atmosphere doesn't have a clearly-defined edge. That is to say, Earth's atmosphere gradually gets thinner when you go further away from Earth; in a similar way, the star density will gradually get less when you go away from a galaxy.
Since our galaxy is about 100,000 light-years side to side and we are about 30,000 light-years from the centre of our galaxy then by dividing 100,000 by 2 making it 50,000 and then minus 30,000 then it estimates we should be 20,000 light-years from the nearest edge of our galaxy.
The shape of the Milky Way (our galaxy) is the shape of a spiral.
An elliptical galaxy, seen "face-on". (E7 would be "edge-on".)