There are three tutorials.

• Beginners Tutorial :
  This is essential ! The first baby steps when you are new to trinagon. If you show the game to a friend, let them play this first.
  Part 1 - Basic Moves & Playground Controls: Shown on the Octahedron. Basic moves clockwise and counterclockwise. Rolling & Turning the Playground in 3D. 
  Part 2 - Game Menu Controls : Here you'll learn the meaning & use of the Game UI. 
  There is indeed more : The tutorial is not exhaustive, but just enough to understand how to play the game. The added functionality is explained here in the online manual.
  
  
• Spin Tutorial :
  6 easy to medium difficult puzzles, all along the same principles with only 6 triangles to better see what each rotationtype is doing.
  Finish / play at your leisure : You can just click through the puzzles to get to the rotation type you want to practice.
  
  
• Mixed Spins - Turorial :
  When mixing rotationtypes previously unforseen things start to happen. The shortcomings of one type can be remedied by another.
  Read more abouit this in 'Triangle Groups'
  
  

The last two are part of any purchase.