This is by far the best lightweight tipi tarp design for strength, ease of use and reliability.  It provides better coverage and has more room than a standard 10' x 10' or 10' x 12' tarp.   
UTT Half Side Open

UTT Snowy Pitch

UTT 5 Sided Stakeout
Anchor the rear 2 tie-outs, tie in the pole, raise the tarp, then pull down to the front 2 entrance tie-outs and stake. Finish by staking out the remaining 2 sides. Easy and no math!

UTT Top Cap and Tie
Finished top cap shown with center pole tied in. First wrap on the pole is a half-hitch, then wrap and finish with a bow. A black rubber crutch tip on the top of the staff keeps the tie from running off and also helps to protect the tarp.

Ultralight Tipi Tarp

Made by our customer Nick.  He writes:

After testing this ultralight tipi tarp, I knew this was the small, lightweight, sturdy tipi shaped tent that I was looking for.  I've been working on this idea for a long time and never quite got it right.  It's right now.  Make one, you'll like it.

This 15 foot diameter round tarp makes a 9 foot diameter tipi with 8 stakes and a 6 foot hiking staff.  The tarp weighs (1 lb. 7 oz) plus (8) 10' long pieces of No. 36 nylon bank line for guylines (2.89 oz) and 8 aluminum stakes (5.24 oz).  Total without hiking staff 1 lb. 15 oz. 
Floor area ~ 56 sq ft. 

Complete instructions of how to make this tarp can be found here:
Ultralight Tipi Tarp