According to wikipedia:
A Table canon is a retrograde and inverse canon meant to be placed on a table in between two musicians, who both read the same line of music in opposite directions. As both parts are included in each single line, a second line is not needed.
I thought there should be no reason to limit one musician to one line of music (or to limit one side of the table to one musician), so I created a table canon with two lines of music per musician (or two musicians per side of the table).
You will hear three parts: part I is a 2-voice theme, part II is the same 2-voice theme upside-down, finally part III consists of part I playing simultaneously with part II. The actual piece consists of part III only. The rest is added for demonstration purposes. You will notice that the 2-voice themes sometimes sound a bit awkward. Compared to my previous musical constructions, it was harder to construct a theme that sounds reasonably interesting and reasonably well together with itself playing backwards and upside down in 4 voices.
Or alternatively, listen to it on soundcloud:
I've written up the method used to create this piece. Click here to download the article. You may have trouble downloading the article with some versions of internet explorer (in that case, use chrome or firefox instead).