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Glad that you like it. It occurs to me that these definitions of the orthogonal pieces - and one alternating orthogonal and diagonal moves - could be applied to Daniil Frolov's pentagonal geometry. Here's my analysis of how they move on that board:

Of the pieces actually used here:
* The Rattlesnake always moves steadily left or right - 'half a file' every two ranks when also moving forward or backward, and alternating between two cells of the rank where the move starts and two cells of the one bordering it along a crooked edge.
* The Nadder is a bit of a surprise. It can encircle a hexagon of two cells, as might perhaps be expected, but it can also move directly along a rank.

Of the pieces only mentioned for possible future variants
* The Ambrook can move far further on this board than on the SerPent one. It moves between back-right and front-left, and between back-left and front-right, like the Bend- and Scarp-orthogonal moves of the Ratlesnake in SerPent Chess.

As I have studied this pentagonal board myself, I found there is an additional Viceroy move that is limited only on two specific spaces. On further inspection, I found that with an addition of a certain Wazir move, we have a new piece whose movement is perpendicular to that of the Ferz and Boa. A riding form of this piece coud have alternating Wazir and Viceroy steps in a straight line. Combined with the Boa, this could be an analogue of the Bishop on a square board, together with the Hindrattlesnake an analogue of the Rook. As for names of these pieces, I suppose you can come up with any ideas.