George Bell wrote a special version of Triangular Peg Solitaire for the website back in 2005.
He has now published a paper here: Solving Triangular Peg Solitaire.
A quote: "... avoid jumping into a corner or out of the interior. Many people stymied by this puzzle can find a solution if they follow this rule of thumb."
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
Where is this paper? It seems like a good puzzle.
"Reality leaves a lot to the imagination," ~ John Lennon
If you click the link MathsIsFun has given for the paper, you get to the page and up in the top right corner it says
* Other formats"
Choose one of those. Your computer probably has Adobe so I'd choose PDF.