[ Help | Earliest Comments | Latest Comments ][ List All Subjects of Discussion | Create New Subject of Discussion ][ List Earliest Comments Only For Pages | Games | Rated Pages | Rated Games | Subjects of Discussion ]Single Comment[Subject Thread] [Add Response]Derek Nalls wrote on 2007-07-06 UTCWhen I searched-out Opti Chess, I expediently focused-in upon a select set of only 24 CRC variants where the king & queen occupied the center files. 1. Indisputably, the queen is the most valuable piece in the game (after the king). 2. I consider the queen the most capable piece at protecting the king since the chancellor and archbishop can be threatened without reciprocity from a large distance by sliders that move differently. Specifically, the chancellor can be threatened by the bishop and the archbishop can be threatened by the rook. Nonetheless, I was intrigued by your assertion that the 2 other composite pieces (chancellor and archbishop) are worthy escorts for the king. So, I have been examining your select set of 72 CRC variants for a few days now. Using more stringent criteria, I determined all 24 CRC variants centered by the king & archbishop to have a minor fault due to the impossibility of placing BOTH the queen and the chancellor on opposite-colored spaces than the archbishop for balance. So, I felt no need to examine them in further detail. The reasons? 1. Composite pieces containing color-bound bishops (i.e., the queen & archbishop) should be on opposite (light-dark) spaces for balance. 2. Composite pieces containing color-changing knights (i.e., the chancellor & archbishop) should be on opposite (light-dark) spaces for balance. This left me with a select set of only 48 CRC variants (24 king & queen centered and 24 king & chancellor centered) that needed to be explored in detail- half of which I had examined long ago. Accordingly, I created a *.zrf to chart my results visually and when finished, conveniently share with others: Select CRC Analysis Tool http://www.symmetryperfect.com/shots/crc I hope you find it interesting.