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I want to achieve a uniform bevel on the top surface of my model as shown in the first image below, but the bevel is spoiled by 2 'extra edges' joining the top edge loops (image 2).

No matter what method I use (see other images), blender always leave behind the 2 extra edges.

Why are the 2 edges there, can I get rid of them, or how otherwise can I achieve the uniform bevel?

NB1: I have tried Dissolve Edges, but once you get down to 2, blender says 'Invalid boundary region to join faces'.

NB2: I can't use mirror modifier because this is a simplified example of my more complex model.

enter image description here

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This could be a solution:
beveled and non beveled meshes But you'll need to adjust Bevel width correctly so that nothing overlaps.

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  • $\begingroup$ Thank you @lemon I think this is what I want - managed to get a good-looking bevel with this geometry. However, one small problem, see my next post. $\endgroup$ – Jonathan Bird May 18 '16 at 12:02
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    $\begingroup$ Look here : gyazo.com/b93b0b1cd0a20be55b263534101fc8fd from left to right : 1/ make the simple flat shape 2/ take the inside extrude E and make face F 3/ take the outside and the same 4/ add the bevel $\endgroup$ – lemon May 18 '16 at 12:58
  • $\begingroup$ Thank you, I've got it working now! Really appreciate your help. $\endgroup$ – Jonathan Bird May 18 '16 at 13:56
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You shoud really try to keep your topology as quads (polygons made of 4 vertices) to avoid issues down the line.

enter image description here

Press and hold Alt while Right Clicking on the edge to select the whole outer edge loop.

Then press CtrlB to Bevel that edge. And refine it to your needs.

enter image description here

Then just repeat on the inner loop:

enter image description here

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You can't get rid of them. Blender needs those edges to correctly draw geometry.

So if you need to get the bevel shown in the first image on the right side, you need geometry like in the 4th image. Then select the edge loops that you need to bevel, press Ctrl + B and drag the mouse to achieve bevel width, scroll MMB or enter a value to increase amount of segments, then press LMB or Enter to confirm your bevel.

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  • $\begingroup$ Thanks @Dmitry, I managed to get a bevel this way, but it ends up looking like the left side of my first image... the right side is neater :) $\endgroup$ – Jonathan Bird May 18 '16 at 12:07

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