Here's a primer on 4x4 mini-crosswords. I have posting them daily on Facebook (my name is Thane Plambeck, and my user handle on Facebook is tplambeck).
The grid will look like the image below. 
There are six words to be filled-in (or discovered) in the completed grid.
Four of these words will be 4-letter words that are both clued, and should be filled, as normal "Across" words in crosswords in the usual way.
Four of these words will be 4-letter words that are both clued, and should be filled, as normal "Across" words in crosswords in the usual way.
On the other hand, *none* of usually-expected "Down" words, (including even "1 Down") will be clued, *nor should they be expected to be a word, at all*.
However, there will be *two* clued 8-letter Knight Tours in the 16-cell grid. These two tours will be disjoint (ie, they will share no cell). As a (possible) solving aid, the cells that comprise each 8-letter tour also be symmetrically arranged in the sense that there will be a dihedral motion of the grid that carries the set of cells used by one of the 8-letter tours to the set of cells used by the other 8-letter word.
OK? Feel free to send questions about these puzzles to me via email to tplambeck@gmail.com. Happy solving!
Thane Plambeck