With AutoCAD 2014 you now have the ability to use the FILLET or CHAMFER commands on a polyline that is “self-intersecting.” When the “radius” of a FILLET is set to <0> or when there is no angle set to a CHAMFER, these tools can be used to clean intersections by trimming or extending objects at their intersections. But since a polyline is a single object, this hasn’t been possible without the help of an add-on like a lisp routine or .NET application.
Here are a few posts that describe how to do use FILLET or CHAMFER to clean intersections:
https://autocadtips.wordpress.com/2011/08/14/fillet-radius-set-to-zero/
https://autocadtips.wordpress.com/2012/09/04/add-a-fillet-or-chamfer-with-no-trim/
The great thing is that there is no change to how the FILLET or CHAMFER command works to use this new ability. Simply use the FILLET or CHAMFER command as normal and the ability to select 2 different segments of a polyline are now available.
Below is an example of how AutoCAD 2013 did not have this feature:
AutoCAD Tips 
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Hi Dave,
Love your tips! Very helpful.
I am having an issue with AutoCAD 2012 while chamfering or using the fillet command. I have TRIMMODE set to ; however, when I try to put either a fillet or a chamfer at the opposite end of a piece of geometry that already has been filleted/chamfered on one end, AutoCAD lengthens the end of the geometry where the existing fillet or chamfer is located. This is causing me more work PLUS helping to cause CNC programming issues due to the geometry now being incorrect. Very frustrating as I have to go back and check geometry that I ALREADY trimmed and had checked. I have been trying to research this problem and have found no solutions. Any ideas? If you need a ‘show & tell’ let me know and we can e-mail directly. Thanks!
Joanne
Thank you very much for these tips and resources. AutoCAD 2014 has many new features to improve the creation of designs. Topics from a new e-book from CadLearning include lessons covering the new and enhanced functionality on user interaction, design exploration, documentation, connection and customization. If you think it could be of interest for your readers, please take a look – http://www.cadlearning.com/autocad-2014-new-features.
This doesn’t work with overlapping lines on a triangle.
This has been a long time coming, too long in my opinion for Autodesk to address this shortfall that has been slowing down power users for over a decade.
Personally disgusted with the Ribbon, use only a few custom toolbars, with maybe half dozen icons each, this change is not justification for an upgrade, nor do I feel like rewarding Autodesk with my hard earned money for forcing their ways upon us.
Question is:
You mentioned a .NET application for this workaround.
Can you expand, or possibly provide a link to a recommended one?
I already have 2 add-on 3rd party applications to address and handle procedures and commands in a manner that is more consistent with the true needs of a drafter; stuff that Autodesk should include but refuses to, however I have never found an acceptable one for this malady.