Check out Chess with Different Armies, our featured variant for July, 2024.

George Duke wrote on Mon, Nov 15, 2010 04:20 PM UTC:
```Thanks Joe Joyce and Ben Reiniger. Great there are more than one way to win a matt, schachmatt. Here is another argument the same as or overlapped with yours.  TRIANGLES OF THE MIND.  Of course the complete triangular grid is already there inside the square. Just take Betza's first step, rotating the utility board 45 degrees. Do not perform Recta-hex-ing, stop at Betza's first sentence.  Give each Square/Diamond a top-half and bottom-half. That object then has all the features of equilateral triangular grid linked, http://www.chessvariants.org/index/displaycomment.php?commentid=25282, since different angles 90, 45 and line lengths topological equivalence dissolves. Then require each piece entered into the space be positioned close to either an ''up-vertex'' or a down-vertex slot, so the two dimensions, conjuring infinitesmals, do not ramify to anything as significant as ''triangle.'' Each cell to play, insofar as it has minimal practical room for piece-marker, must needs have/be an up-vertex area or else a down-vertex and never both. No triangles are involved or ever required to be drawn or even pictured. Play within squares from vertex area to vertex area. Keep looking at squares only and play Chess (Variants). That way the Anti-Triangular board is made only of the everlasting same 64 2^6 squares (and Checkers 100 10^2 squares for enlargement). __________________________________Since we are only using squares, the regular 64 of them, movement has to be carefully defined.  Each move begins and ends into up-vertex slot or down-vertex slot, never something like phony ''side-vertex.''  The latter does not exist.  Remember to keep the board with diamond orientation. Thus 64 ''squares'' are 128 vertex-locales, more than enough. Each up-vertex is unique, so it has a number like '9', Cell 9.  From '9' there are four equidistant other up-vertices lettered 'a' to 'd' CW from top.  They are a square side-length away.  The first one of them, 'a', is actually top-off-center right. And so on with down-vertex locations we want to fulfill from a starting cell.  Play from up-vertex cell to down-vertex and vice versa, and up to up and down to down, completing all the possibilities relatively nearby, for defined piece-types.  Each sub-space/cell is as that infinitesmal building towards a point(corner of Square) and has no dimension except created by convenience in marking. Bi-colouration of the board may tend to distract and can be eliminated. So long as the divisible, exactly-delineated space is elementary/fundamental, Rules then can achieve the full degree of decadent over-refinement customary to CVers. Watch your step. These proofs are not semantic; is not all space everywhere one-dimensional-acquired directionality? Summary: Hexagonal -> Rectahex -> Square -> Triangle (reversible).  The only trick is the Rectahex slide a la Betza.
http://www.chessvariants.org/index/displaycomment.php?commentid=19657```

Edit Form

Comment on the page Rectahex Chesss

Conduct Guidelines
This is a Chess variants website, not a general forum.
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.
If you are feeling anger, keep it to yourself until you calm down. Avoid insulting, blaming, or attacking someone you are angry with. Focus criticisms on ideas rather than people, and understand that criticisms of your ideas are not personal attacks and do not justify an inflammatory response.
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
• An URL by itself:

### 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.``````

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.
﻿