Complete the 4x4 grid below, with four-letter English (too common or not) words, in both directions.
+---+---+---+---+
| | Z | O | |
+---+---+---+---+
| | | X | O |
+---+---+---+---+
| | | | Z |
+---+---+---+---+
| Z | | | |
+---+---+---+---+
No proper nouns allowed.
Rotating the 4x4 grid by 90 degrees in the counterclockwise direction, we have:
+----+------+--------+-------+
| | O | N | |
+---- +------+-------+-------+
| O | X | | |
+-----+------+-------+-------+
| N | | | |
+-----+------+-------+-------+
| | | | N |
+------+-----+-------+-------+
There are many ways to fill up the rows and the columns with valid words.
However, this must have the property whereby:
The same word appears at the jth row and the jth column, where: j=1,2,3,4
This is made possible by the under noted arrangement as follows:
C O N E
O X I D
N I C E
E D E N
Two other solutions with this property are:
M O N O
O X I M
N I C E
O M E N
and:
O O N T
O X E A
N E A R
T A R N
Edited on August 17, 2022, 11:05 pm