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We want to discuss in this Club about any kind of 3-Dimensional or Multidimensional versions of Chess; sometimes also referred to as HyperChess. All these are Chess variants using spaces with more than the two dimensions of the traditional game; as long as the proposed variants are open source and available to everyone. We may start with the Kubikschach, proposed by Lionel Kieseritzky in 1851, already producing an 8x8x8 board and greek letters for the third dimension. Soon followed with the Raumschach by Ferdinand Maack in 1907. Through the Tri-Dimensional Chess proposed in the famous Star Trek TV episodes and movies. Up to the most recent proposals, also featuring a large number of pieces, as the 3D-GrandChess. Members can feel free to propose variations, discussing those proposed by other members, make comments, critiques and suggestions, always in a civil and respectful manner. Creators of new variants are welcome to showcase their creations; as well as anyone who want to propose improvements to other variants, with a constructive attitude and respect for civil discussions, or just to have more fun. People good at handicrafts, who can make the physical structures to play the games, are welcome in this club too. Likewise amateur or professional programmers who can create animations and platforms for virtual and/or online play are also highly valued here. The aim is to provide soon a free space in this Club where members could play 3d Chess variants online.

Chess is a millenary old game that allows human minds to challenge each other and practice the art of war, without actual bloodshed. It always enjoyed an extraordinary success for some of its specific characteristics. Among these: the huge number of possible positions and moves; the balancing of forces in the field; the balance between forces and available spaces. Chess players are commanders who deploy their own army, engage the opposing army and devise any possible strategy and tactic to win that battle. All this is inspired by the military art of past centuries, when battles were won by geniuses of strategy and tactics such as: Alexander the Great, Hannibal, Genghis Khan, Napoleon, and the like. However in the real world of today, battles are no longer conducted in this way, i.e. on a flat field. Strategic and tactical elements that exploit the three dimensions of space have become crucially important: airplanes, helicopters, drones, missiles, satellites, spacecraft, etc., are the elements with which today's battles are won; not counting different realities that may belong to other dimensions, such as intelligence, communications, cyberwarfare, etc. Therefore, we see a growing desire to try and practice an art of war that is more consistent with the complexity of today's challenges. With the aim to give answers to this desire, several variants are presented that try to upgrade the game of chess, in order to reflect the evolution towards a greater complexity of the world. This is how variants of chess in three or more dimensions are born. Obviously adding a dimension multiplies the available space and makes an already much complex game enormously more complex. Pieces, for example, increase their mobility and thus their strength. They themselves become inherently different, since their possibilities are increased. More space available allows for more pieces and possibly more types of pieces. Players' minds must exercise on much more complex realities, resulting in challenges of a higher level. Many players can feel lost in the complex space; but actually it's the same feeling we had when we were kids and tried chess for the first time. Minds also cannot rely much on theory, but practically only on their own reasoning, at least until a much more complex theory is developed specifically for a game of this kind. For a certain period it will be like playing chess in ancient times; before a theory for this game was developed. If someone wants to relive that feeling, this is the right place to present and discuss ideas, as well as to try out new types of games.

First Info: TheUltraTrap is trying to produce an animated app to play 3D-GrandChess online; or the animation could be used in a website, a portal, etc. Second Info: But I have already produced a physical prototype of the CubeBoard: the one you can see in the videos. It can already be used to play physical games, in presence, by people who can come where it's now: in Italy. Third Info is an idea: maybe there's a way to make online connections with two live players, while I can act as referee and mover. The players tell me their move, I execute it and press the clock. Also maybe there's a way to get several fans to log on and participate live, with comments, etc. Is there any expert member who can tell me if we can do this via twitch? It could be a way to start trying strategies, tactics and having fun in 3D right away; before an app is fully available. Please, can someone help with opening a Twitch channel for this purpose?

Having a general template for ND spaces on how the pieces move is needed for the evolution of these games. As well as some pieces are tricky in 3D chess in relation to 2D chess, 4D chess or 5D chess is challenging in relation to 3D chess 1. The dimensions 1D chess is a simple row of squares where only pieces like the rook, the dababba, pawns or grasshopper can move on. The only reason for the use of squares instead of lines is because there is need to 2D space for showing the pieces. This has been submitted as a WoF 2 player game, this year. 2D chess is classical chess, that we all know, where pieces can move in two dimensions, with ability to combine directions, like the knight, bishop, king (instead of wazir) or queen (instead of rook). 3D-GrandChess has the same figures as conventional chess, but the pieces move differently, with the ability to move in the 3rd dimension, even if there cannot be made the combination of 3 dimensions in a single move. instead, they choose a 2D plane for each move (or a 1D line for the rook) [Note: i will be using Japanese letters for the 4th dimen] The fourth dimension can refer to time, where pieces can move to the past, being unable to move for the rest of the game, and disappearing from next boards, or be treated in the fifth dimension as in a parallel universe. a fourth dimension can also be static, like our 3rd dimension, without referring to time, by considering an expanded cube, and treating the moves through dimensions as with a 2D chessboard compared to a 3D chess-framework. Or, by creating custom pieces with specific movements on the four dimensions. this system can go further and create squares of cubes, cubes of cubes, rows of cubecubes (7D), etc. until ∞D 2. Comparing dimensions - the directions a piece can have a force of movement in a certain number of dimensions - the directions. a reduced number of dimensions may leave open the question on how a piece would move with more dimensions, because multiple options lead to the same in 2D, or sometimes, 3D. Establishing the steps on each direction of a piece is important, or confusions may happen. The knight, for example can be thought of two ways: 1 - it moves 2 squares in one direction and then one square in another 2 - it moves in a diagonal step and then one orthogonal step respecting the diagonal direction (this is wrong) both are fine in 3D and 2D, but if we go 4D, what does an orthogonal step mean? that means it keeps ONE 3d world. 1: あαa1 - うβa1 is possible 2: あαa1 - うβa1 is not possible Time traveling method would be similar. so defining how a piece moves in general should be made using directions. 3. Pieces movement The rook moves any number of squares in one direction. [one square for wazir] The bishop moves any number of squares, the same in two directions and never moving on a third one [one square for ferz] The king combines wazir and ferz. The knight moves 2 squares in one direction and then one square in another The queen combines the rook and the bishop The pawn moves in a 1D row and captures like a forward ferz It is important to note that more dimensions give more opportunities to make more pieces, that move, by force, in 3D space.

In a play like Chess a Piece if defined by how it moves; i.e. what part of the board it can reach, which squares and how many of them. Ultimately, what defines a piece is its mobility Just to be precise these are the characteristics distinguishing the figures, or types of pieces. Then we may have a number of copies of any figure and those are the Pieces. Greater mobility gives the pieces more opportunities; therefore it makes them stronger for the purpose of the game. We all know that the Queen is the strongest figure in chess because it's the one with greatest mobility; while the Pawn is the least strong because its mobility is the lowest one. Adding one more dimension, we multiply the spaces available for pieces and we also open up new lines and directions that they can use for their mobility. Because of the increased mobility they are hence defined differently: they are in fact Substantially Different Pieces, significantly More Powerful than those we know in chess. In addition to knowing how to orient ourselves and operate in the three dimensions, not at all an easy task for those used to play chess, we must also learn to handle different and much more powerful types of pieces. This will require specific training for the capabilities of a human mind willing to engage in these types of games. But this is the same kind of capabilities needed to govern the complexity of the world, today and in the near future.

Just wondering. its a cool idea, where you can create a whole dimension during the game. without limit. the game gets more complex as it goes. variable pieces (implying great maths) We could start the game with a single point. One pixel. 0D. Players have a bank of pieces that they must drop when they want, starting with the king. (only possible when the first dimension is created) what is on the bank disappears after 5 moves. if there are 5 pieces to be removed forever then a new dimension is created, multiplying the space. the player may choose to save up to three pieces less than what is getting removed, which keeping those in the bank. An exception is made when the first dimension is created, where pieces are not forfeit. the bank starts with the normal pieces from 2D chess. players can also choose to drop a piece in the bank, trying to sac for more dimensions. the bank is common, for both players. you can also drop an opponent piece in the bank by capturing it. when a new dimension is made, the created parts are an exact copy of the existing board. so you can for example sacrifice a pawn to get a lot of queens. the only exception in the copy is the king, which is not copied. The quantity of copies created are the number of pieces in the bank in moment of dimension creating. New pieces are allowed, including variable pieces, that variate their movement with the number of dimensions. example: Interdimensional D[R] R is for rider D means that what is inside brackets is repeated the number of dimensions. So if there are two dimensions, it becomes (r, r) > this means this piece will move in a diagonal of the existing dimensions, or as a rook in 1D board. it moves the same number of steps in ALL THE EXISTING DIMENSIONS

We all know very well that Chess is a battle; but in what moment of the battle are we exactly at the beginning of the game? Well, we are in the instant immediately preceding the clash of the two armies. Pieces can start capturing each other right after first move; It's not two armies preparing the ground for the next battle, or provoking each other at a distance for long hours before approaching. Here they are already thrown at each other, just the moment before the melee. Also, if we take a look at the chessboard in the initial position, we notice that pieces occupy exactly half of it. The game of chess is made with the right proportions and it's so engaging maybe because it encompasses the right balance of spaces. You can mate the opposite king because the number of pieces available and their strength, in relation to available space, are sufficient to constrain it within a space where it can be defeated. If the opponent had ample space available in which to wander indefinitely, the game would not be as compelling. Now several proposals of 3D chess have been circulating for 170 years; but none of them ever took off seriously. The reason in my opinion lies in the fact that creators were rightfully fascinated by the wide possibilities of movement for pieces; but perhaps they didn't consider proportions between forces and spaces. When you add one more dimension, the space is not simply expanded, but multiplied; you get huge spaces where the pieces risk "feeling lost". As a result it can become difficult to really engage in battle; like two armies chasing each other over a wide territory without ever really clashing. This way the game becomes boring and clueless. Many creators conceived 8x8x8 chessboards as a normal evolution of the traditional 8x8; thus multiplying spaces by a factor of 8; but without multiplying the number of pieces as much. Historically quite often the same creators or others decide later on to reduce their proposals to 4x4x4, 5x5x5 chessboards or similar. This happens because they remain tied to the original number of pieces, which can be 32 or a little more. My thought has been: if you want to recreate the same fascination in a space with a huge number of opportunities, you should multiply the number of pieces by the same factor, as well as increasing their strength. This is why I thought to deploy in my 3D-GrandChess an impressive mass of 256 GrandPieces in a space of 512 boxes. That's exactly the half. So this way those who love complexity have reason to have lots of fun. After all, it's only a matter of proportion.

My proposal is not the first idea using an 8x8x8 Space, equivalent to 512 Cubic Boxes; but I conceived my creation as the Natural Evolution of Chess into the 3 Dimensions. I wanted to create a game having all the same features as Chess, only upgraded to the 3 dimensions. So I committed to maintaining all the attractiveness of the traditional game, keeping all its rules, except that they apply in 3 dimensions. I was forced to introduce one only new rule: castling here is done in two moves called PreCastling and Castling, due to the specific conditions of the three-dimensional space. I felt it was also important to maintain the balance between occupied and empty spaces. As well as in chess, the exact half of the space is occupied by pieces in the initial position. So that each player commands an impressive army of 128 GrandPieces. The pieces might seem to resemble the six traditional chess figures; though each of them is considerably stronger than in chess, since it can move in the three-dimensional space. In order to keep this fact always in the players' minds, pieces in this game are called GrandPieces. Such a huge number of pieces and their enhanced strength give this game an enormous potential, much greater than that of the traditional game. Just to make an example, after first move by White and Black, you can reach 40,000 different positions, instead of 400. The game however is also very challenging for the logical-mathematical and spatial abilities of the mind. In several respects it can resemble a chess simul, played against a single opponent on 24 chessboards. I've made 4 video lessons to explain in detail how it works, that are available here: https://www.youtube.com/channel/UCOeIXNTxzW_IC1T1Mlxolew