Rav Amram Gaon Method:

This method defines a chulyah as a group of three twists. It has 13 chulyot, and alternates white and Tekhelet between them, starting and ending with a chulyah of white. Though Rav Amram Gaon does not mention any knot at the begged, most people do in fact tie one there.

Gaonika Pg 331

Thus was the fringe after the lower knot d on it a link of Tekhelet and on it whone link of white and on it a link of Tekhelet and a link of white and on it a link of Tekhelet and a link of white anite and tie a final knot and this is no less than seven and if wanted to add then add until 13 in this order..

גאוניקה עמ’ 331

כך היה גודל לאחר קשר התחתון חוליה אחת של לבן ועליה של תכלת וחוליה של לבן ועליה חוליה של תכלת ועליה חוליה של לבן ועליה של תכלת ועליה של לבן וקושר קשר העליון וזה הוא לא יפחות משבע ואם רצה להוסיף עד י”ג מוסיף כסדר הזה

Notes:

  1. A “Single Cord Knot” is made by taking one strand of the total eight, wrapping it once around the remaining seven strands and tucking in the end in the wrap.
  2. A white “Chulya” is made by taking one white strand from the total of eight strands and wrapping it around the remaining seven strands three times. This “wrapping” strand is designated “Shamash” and is used for all subsequent white chulyot (though it is not halachically imperative that the same Shamash be used).
  3. A blue “Chulya” is made the same as a white one, but just using a blue strand.

Video Showing the Tying in Detail

For more information:

Illustrated Detailed Instructions

High Resolution Diagram