Compendium of Tie Knots

Various tie knots I have found references for are listed below. Links are to images collected for each. I will fill out this list as well as provide instructions for tying, and history as time permits.
Triangular:
The contemporary standard tie. This list notes named knots, and not simply academic constructs, of which there appear to be 85 varieties

  1. Atlantic
  2. Balthus
  3. Cavendish
  4. Diagonal
  5. Double
  6. English
  7. Four in Hand
  8. Grantchester
  9. Half English
  10. Half Windsor
  11. Hanover
  12. Kelvin
  13. Nicky
  14. Onasis
  15. Oriental
  16. Persian
  17. Plattsburgh
  18. Pratt / Shelby
  19. Prince Albert
  20. Ruche / Scrunchy
  21. Simple
  22. Small
  23. St. Andrew
  24. Turkish
  25. Victoria
  26. Windsor

Uncategorized:
I don't know what to do with these ones yet.

  1. Jabot
  2. Jesuit
  3. Paressuese
  4. Pleated Ascot
  5. Osbaldeston
Bow:
Characterised by a barrel knot and at least two wings on each side. 

  1. Standard Bow
  2. Lavalliere
  3. Byron
  4. de Voyage
  5. Romantic
  6. Talma
  7. Western String
Barrel:
Characterised by barrel knots with less than two wings per side. 

  1. Barrel
  2. English
  3. en Valise
  4. Noeud Gordien
  5. Oriental Cravat
  6. Sentimentale
  7. Trone d'Amour
Knotted:
Characterised by a front knot that looks like a knot.
 

  1. American
  2. a la Colinen
  3. Coquille
  4. Diplomat
  5. a la Fidelite
  6. Gastranomme
  7. Horse Collar
  8. Independence
  9. Irish
  10. Italian
  11. Mathematical
Cascading:
Characterised by the hiding of the knot by the end of the tie.
 

  1. Mailcoach / Waterfall
  2. Cascade / Jet d'Eau
  3. Day Ascot

Fastened | Loose:
Neckwear that is not tied. This does not include fake ties such as clip or zipper ties, which are an affront to all civilized dress.

  1. Ballroom / Le Bal
  2. Barrister
  3. Bergami
  4. Bolo
  5. Casse Couer
  6. Hunting/Diana
  7. Napoleon
  8. Maharatta / Maratte
  9. Russian
  10. Stock