Text this: Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups

  ______   _    _     ______     ___              
 /_   _// | || | ||  /_____//   / _ \\    ____    
 `-| |,-  | || | ||  `____ `   / //\ \\  |    \\  
   | ||   | \\_/ ||  /___//   |  ___  || | [] ||  
   |_||    \____//   `__ `    |_||  |_|| |  __//  
   `-`'     `---`    /_//     `-`   `-`  |_|`-`   
                     `-`                 `-`