Check out Glinski's Hexagonal Chess, our featured variant for May, 2024.

Enter Your Reply

The Comment You're Replying To
H. G. Muller wrote on Thu, Apr 21, 2022 07:54 AM UTC:

Just to make sure I fully understand this:

A Bishop on a4 could move along c5-d6-e7-f8 but not b5-c6-d7-e8. For a Bishop on 4 the reverse would be true. But that also means a Bishop on a4 can only be captured from c5-d6-e7-f8 and not from b5-c6-d7-e8.

If this is true the only thing that 'switches' are the connections of 4/a4 to the upper board half. These are either to a5 (f) and b5 (fr), or to a5 (fl), b5 (f) and c5 (fr). And the switch is only in a determined state when 4/a4 is occupied. (And that state has to be chosen as part of the move that occupies it.) When the square is empty you can use all the connections to enter it from above, or to leave it in the same move when you entered it from below.

The intepretation of this that I consider conceptualy the simplest is that 4/a4 is indeed a single square cell, but that the setting of the switch is extra game state. Which can conveniently be indicated by placing the piece that occupies it in the right or left half of the cell, as the distinction only has to be made when the square is occupied. In a computer implementation one could implement the state of the switch through making separate cells of 4 and a4, with only single exits to 5th rank, and duplicate the exits to it from a3 (f), b3 (fl) and b4 (l) so that one connects to 4, the other to a4, both available at any time. But that still would require some 'unnatural' treatment of the spaces 4/a4, to consider one blocked when the other is occupied.

The issue of teh Knight is really an independent one. If the Knight's move is defined 'subtractively', by excluding moves that a Queen can do, its mobility is reduced in the vicinity of the switch, as Q gets extra moves there. In a 'constructive' definition of the Knight move, it would benefit from the switch topology to get extra moves as well.


Edit Form

Comment on the page Chess 66

Conduct Guidelines
This is a Chess variants website, not a general forum.
Please limit your comments to Chess variants or the operation of this site.
Keep this website a safe space for Chess variant hobbyists of all stripes.
Because we want people to feel comfortable here no matter what their political or religious beliefs might be, we ask you to avoid discussing politics, religion, or other controversial subjects here. No matter how passionately you feel about any of these subjects, just take it someplace else.
Quick Markdown Guide

By default, new comments may be entered as Markdown, simple markup syntax designed to be readable and not look like markup. Comments stored as Markdown will be converted to HTML by Parsedown before displaying them. This follows the Github Flavored Markdown Spec with support for Markdown Extra. For a good overview of Markdown in general, check out the Markdown Guide. Here is a quick comparison of some commonly used Markdown with the rendered result:

Top level header: <H1>

Block quote

Second paragraph in block quote

First Paragraph of response. Italics, bold, and bold italics.

Second Paragraph after blank line. Here is some HTML code mixed in with the Markdown, and here is the same <U>HTML code</U> enclosed by backticks.

Secondary Header: <H2>

  • Unordered list item
  • Second unordered list item
  • New unordered list
    • Nested list item

Third Level header <H3>

  1. An ordered list item.
  2. A second ordered list item with the same number.
  3. A third ordered list item.
Here is some preformatted text.
  This line begins with some indentation.
    This begins with even more indentation.
And this line has no indentation.

Alt text for a graphic image

A definition list
A list of terms, each with one or more definitions following it.
An HTML construct using the tags <DL>, <DT> and <DD>.
A term
Its definition after a colon.
A second definition.
A third definition.
Another term following a blank line
The definition of that term.