Fairy Chess Pieces IV: The Fifth Perimeter

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Here are some "level-5" leapers -- that is, pieces that leap to the fifth perimeter (or, as I personally prefer to call it, the fifth circle) away. I've divided them into three groups: First, the "atom" pieces, which have a single leap in their repertoire; second, the simple compounds, which combine just the fifth-circle atoms; and then the general compounds, which combine with shorter leapers, sliders, and others. This is where it helps to understand the common notation for a leap: (X,Y) indicates that the piece moves X spaces in one orthogonal direction, then turns left or right to move Y spaces, all without disturbing anything in between. Note: Unless you're just making a "fairy chess problem," most of these pieces aren't much use on a board smaller than 12x12, and at least 20x20 is much better.