EXPANDED CHESS FOR THE NEW MILLENNIUM |
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Value of Expanded Chess Pieces Table 1A and Table 1B present the results of the weighting/rating system evaluation for Expanded Chess. The tables provide the values for each piece in Expanded Chess for 9 different square game board sizes from 8x8 to 16x16. The results are normalized only once with the lowest value piece (the Pawn) taking a value of 1.00. There is no attempt to directly compare the strength of any particular piece at one board size with the same piece at another board size. In simple terms, the value of an Empress on an 8x8 board is 12.31 and is 22.97 on a 16x16 board. However, it does not mean that the empress is 22.97/12.31 = approx. 1.9 times as powerful on a 16x16 board as on an 8x8 board. It simply means that am Empress is 12.31 times the value of a Pawn on an 8x8 board and 22.97 times the value of a Pawn on a 16x16 board. Some final comments on Tables 5-3A and 5-3B. Note the values of the traditional players i.e. the Queen, King, Castle, Bishop and Pawn. Since the methodology was mathematical, note that it was not possible to get a perfect balance where all the pieces matched the traditionally assigned values. The values were determined as follows:
The floated value of the King is 3.15 on an 8x8 board. If one were to quibble at the most theoretical level, it can be argued that the only way for the Bishop and the Castle to be identical in value to the Queen is to have them both occupy exactly the same square at the same time. Since this is not possible in a real game, the value in the chart actually represents an idealized maximum limit, assuming the Bishop and the Castle are occupying the same single square. When relating the rating of a piece to its row & column index (6 6 to 1 1), pieces with the lower “X” indices generally have lower values the pieces in the upper “X” indices. Values also increase as the “Y” index increases within a sub-classification i.e. either the first three pieces or the second three pieces within in a row. However, the first piece in the second sub-classification might or might not be of greater value than the last piece in the first sub- classification. This is because each sub-classification represents a different set of expanded moves. For example, the Castle exceeds the value of the Cathedral for most board sizes. One final observation is that as the game board gets larger, the spread in value between the Pawn and the Empress increases. This is to be expected since the range and coverage keeps increasing with increasing board size for pieces with unlimited coverage and range such as the Empress. The Pawn is a piece with fixed range and coverage and as the board size increases, its relative influence decreases. Therefore, the net result is a relative increase in the value of the Empress as the size of the board increases and this also occurs for any other pieces with unlimited moves. |
| EXPANDED CHESS Copyright © 2009-2013 Daniel Abuda All rights reserved. |
| Expanded Chess Email us: info@expandedchess.com |
| EXPANDED CHESS is a new series of Chess games with larger game boards, more pieces and new pieces. EXPANDED CHESS provides an alternative type of Chess, where computers have not yet overwhelmed humans and the book for the game is not yet written. |
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