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Idk why but it just feels like there should be a third side as well. Like White, Black and one more.

I would suggest considering seeing the chess knight as a jumping xiangqi horse. In xiangqi, the horse moves 1 square orthogonally and then 1 square diagonally in as close to the same direction as possible. A chess knight is just a jumping version of this. You could extend it to triangular chess but with along files instead of orthogonally, and the turn, which would be 45 degrees in xiangqi, would be 30 degrees. And of course, it would jump. Unfortunately, this doesn't allow it to change square color. But a bishop can change square color in your variant, so it's like they are reversed.

What I like about the alternative knight movement is that it essentially moves the distance of two rhombuses in one direction, then to the closest space in another direction. It's weird if you think about it too much but when you're actually moving it it matches how you move it in chess.

actually i have a suggestion that would solve 2 problemes, bishop should move in the same direction, but skip every tile of the opposing color, it would make it overall weaker, but better to pass trough ennemy line of defense and would allow to keep the concept of white bishop/black bishop, overall the piece would respect more the original concept, but it would also not be possible than a bishop and a rook threaten each other at the same time and it would create a blind spot on the queen that is exactly the knigth move

Now you have to make circular chess with triangular grid

How I would've dealt with it is: 1. Rooks move perpendicular to any of the board's sides. Pawns move perpendicular to the side opposite of your corner (and can only move towards that side). 2. Bishops move parallel to any of the board's sides. If you wish to preserve the way they stay on the same color tile, say they skip every other tile (note that this nerfs them significantly, especially the bishop with fewer tiles available). 3. Queens move perpendicular or parallel to any of the board's sides, so the same as yours. 4. Pawns in regular chess need to move 6 spaces to promote, but they only need to move 4 spaces with my method on your board. To fix this, either pawns may not double-move nor en-passante, or the board must be made larger to compensate. Alternatively, allow double-move and en-passante on the same board and see how balanced the game is before this change. 5. Knights moves work like so: move 2 spaces perpendicular to a side, then 1 space parallel to a different side. This makes their moves distinct from rooks, bishops, and queens. Their moves also alternate the tile color they're on. 6. Add optional 3rd player. If rooks are now bad, that's fine. I don't think pieces becoming stronger/weaker in different chess variants is a bad thing. The real question is if the game is balanced.

Now let's make chess on Penrose Tile...

i think the missing piece here is one crucial limitation of diagonal moves: a diagonal move can never start and end in differently colored squares. we could apply this here directly, but id recommend swapping horizontal and diagonal moves first bc its more intuitive to implement. so, a rook would move like a bishop does here, and a bishop would move like a rook but skipping every other triangle instead of zigzagging. basically, diagonal movement is "moving through adjacent spaces of the same color in a straight line" and horizontal movement is "moving through adjacent spaces of alternating colors in a straight line" with this, the overlap between horizontal and diagonal moves is gone. in addition the queen is nerfed; it can still checkmate undefended, but only when the kind is in the corner. the knights movement gets a little weird, as the closest space unreachable by a queen is a sort of 1.5 diagonal movement, but it turns out this has all the same quirks as a regular chess knight: the movement is equivalent to moving 2 spaces horizontally and 1 space horizontally in another direction, as well as 1 space horizontally and 1 space diagonally. pawns become much more straighforward like this too, as the lack of movement overlaps and horizontal-vertical swap means that they function identically to normal chess pawns but with the adjusted moveset, no changes or footnotes required

Bishops can’t protect each other The bishops:

man, you've really grown, nice job dude! now its time to combine isometric chess and triangle chess to make a nightmare (don't actually do it, it will be torture, i can tell)

Your final solution for the knight move is brilliant and follows the logic of the official FIDE rules. It's not the rules change you think it is. The FIDE rulebook defines knight move as such: "The knight may move to one of the squares nearest to that on which it stands but not on the same rank, file or diagonal."

I was looking for this chess for so long and I like it❤❤❤

pentagonal chess

since the discovery and rediscovery of the elusive Einstein tile I've been making an aperiodic version of chess [Real life board] , and I wondered if this game will have anything similar?

Um… I thought the king would also be able to move to any adjacent square

Why not define a diagonal as requiring movement along a same color, jumping over the opposite color?

nice idea

0:20 And ruombuses!

i mean you can tile alot of other shapes on non euclidean boards so what im saying is pentagnol chess

this is so cool

Will deckmate be avalable for MacOS

We need four player chess

Made three player chess!!!

What about chess on a fractal tiling shape?

next chapter... triangular chess for 3 players!!

Had you ever tried pentagonal grid? :)

I expected you to flip the bishops' and rooks' movements, but that works too.

There should definitely be a third player. It seems like the best advantage of this kind of board

I completely disagree with how you did verticals and diagonals

Your Rook and bishop movement is flawed Rooks should go conner to conner, and Bishops should move across the files but not change color This widens the kings movement and narrows the Queen's Knights fill the gap starts 1 rooks move away then moves two triangles over, This knight and queen cannot mutrally attack each other.

"what dictates Horizontal, vertical and diagonal movement?" Just one thing. The way pieces/pawn really move: Rook move the the closest square from the one he is at (excluding the one he is at) assuming von neuman neubohood. Bishop move to the closest square from the one he is at (excluding the one he is at and ones that rook moves to) assuming von neuman. This would imply bishop moving 8 squares, so lets make rook a rider to "balance" stuff. But now bishop move to some squares that rook move to, lets remove them. Now bishop move same amount of squares as rook that is a rider, lets make bishop a rider too. Now talking about knight it moves to the closest from the one he is at assuming von neuman neibohood (excluding the one he is at and one bishop and rook move to) he moves to 8 squares instead of 4 and so there is no need to make it a rider. King is a worse queen (assuming making it worse means making a rider king a non rider), queen doenst move like knight as its already non rider and wouldnt be possible to make a non rider version of those moves. Pawn move like a devolved rook and capture like a devolved bishop.

Make it mobile compatible:)

Why