This is the book that I used over 35 years ago to make my first tipi: The Indian Tipi -- Its History, Construction, and Use by Reginald & Gladys Laubin (University of Oklahoma Press). It's as invaluable now as it was then.
Most folks in the tipi world consider this to be the bible of our trade. I sure do. It was first published in 1957, and continues to be the single best printed resource for building and living in a tipi. And you can get it from me for just $24.95, plus tax (where applicable) and $4.95 shipping in the USA (more elsewhere, please ask if you're interested).
In fact, you can get 98% of the information you need to construct, set up and enjoy a tipi with this book and my Pointy Side Up video. (The combo is listed as "The Indian Tipi and DVD combo" and "The Indian Tipi and VHS combo")