What is a Solomon's Knot?
It turns out it is an ancient symbol found in many cultures and it's meaning is very much dependent on who you are. It may refer to eternity or marriage or it may just be a pleasing design!
Let's see if I can still make it and what variants we can find.
Just a reminder; this post uses UK terminology (US in brackets).
At first glance the stitch pattern looks very unusual and complex, but those long loops are just chain stitches. In some languages the crochet Chain stitch is called an 'Air stitch'; a stitch which is made in the air. That name perfectly describes these extended loops.
To begin: we start with a slip knot and extend the loop on the hook. It is a good idea to use some sort of gauge or ruler so that all our loops are an identical size. The size of loop you choose will depend on your yarn and the intended use.
With the hook still in the loop, take hold of the loop between finger and thumb to secure,
Yarn over the hook and pull through to finish the chain stitch,
Now slip the hook between the back and front loops,
Yarn over the hook and pull through the back loop only, there are now two loops on your hook,
Yarn over and pull through both loops on the hook creating a double crochet (Sc-US).
This double crochet is also called the Locking Stitch as it locks that extended chain.
You can use this stitch anywhere, just as you would any other stitch. Or you can use it to create a fabric like the classic Solomon's Knot mesh.
Let's start with a Simple Row.
Begin with Chain2 and Dc (Sc-US) in the first chain. Then continue making the Solomon's knots as as described above.
We can turn this into the Classic Solomon's Knot stitch pattern.
You will find this written in a variety of ways, such as, with a foundation row of chain and starting chain between rows. I am using Solomon's Knot throughout. This means that the knots along the edges must be shorter, about 2 chain long. Those in the diagonal pattern must be larger, about 3 chain long. 
From here on I will use the abbreviation SK or sk for Solomon's Knot.
Foundation Row: Begin with Chain2 and Dc (Sc-US) in the first chain. Make 2 short SK for each pattern repeat, plus one more short SK.
Row1:
Begin with 1 short SK, Turn.
(Make 2 long SK, skip2 sk, Dc in next dc,) repeat to end of row.
Row2:
Make 2 short SK, Turn.
Make 1 long SK, skip1 sk and Dc in it's dc,
(Make 2 long SK, skip2 sk, Dc in next dc,) repeat to end of row.
Repeat Row2 to desired length.
Finish with a row of short SK and Dc into every other dc.
Perhaps you would prefer a more linear Square Mesh design.
I've started this with foundation chain. The number of chain required will of course depend on the size of of your Solomon's knots. Mine are 3chain long. The vertical stitches used here are Trebles (Dc-US).
Foundation: I am using 4 chain per pattern repeat, plus three in place of the first Treble.
Row1:
Make 1SK [equal in length to 3chain], skip 6chain, Tr in next chain.
(Make 1SK, skip 3 chain, Tr in next stitch) repeat to end of row. Turn.
Row2:
Chain3, (Make 1SK, skip 1sk, Tr in next tr) repeat to end of row. Turn.
Repeat Row2 to required length.
Final Row:
You may want to finish with a chain edging.
Ch6, skip 1sk below, Tr in tr below, (Ch3, Tr in tr below) repeat to end of row. FO.
Of course we can work a Chevron design but we must begin with a base of tall stitches to create the V-shapes. I am using Dc and Dtr (Tr-US).
Foundation: I am using 8 chain per pattern repeat, plus 2 chain more.
Row1:
Dc in 2nd chain from the hook.
(Make 1SK [approximately 5chain in long], skip 3ch and Dtr in next st,
1SK, skip 3ch and Dc in next st.) Repeat to end of row. Turn.
Row2:
Ch3,
(1SK, Tr in next dtr; 1SK, Tr in next dc) repeat to end of row. Turn.
Row3:
Ch3,
(1SK, Tr in next Tr) repeat to end of row; the last Tr is made into 3rd chain of ch3. Turn.
Repeat Row3 to required length.
Final Row:
You may want to finish with a chain edging.
Ch7, skip tr and 1sk, Dc in tr below; Ch3, skip 1sk, Dtr in tr below, (Ch3, skip 1sk, Dc in tr, Ch3, skip 1sk, Dtr in tr) repeat to end of row. FO.
We can combine the diagonal and horizontal stitches to create other patterns. I'm choosing to call this design Solomon's Stars.
For this pattern you will need to make your Knots in three different lengths in different parts of the pattern. After you have made the foundation chain, mark a piece of card with three lines measuring 2chain, 3chain, and 4chain in length.
Foundation: Use 4 chain per pattern repeat, plus 2 chain more.
Row1:
Dc in 2nd chain from the hook,
(SKx2, [each 3chain long] skip 3ch, Dc in next stitch,) repeat to end of row. Turn.
Row2:
Ch3, make 1SK, [2chain long] Dc into dc between 1st pair of sk below.
(Make 1SK, [4chain long] skip 2sk, Dc in next dc,) repeat to last SK at end of row*.
*At end of row, make 1SK [2chain long] and Tr into last stitch at end of row below. Turn.
Row3:
Ch3, make 1SK [3chain long], skip sk, Dc into dc below.
(Make 2SK, skip sk, Dc into next dc,) repeat to end of row.*
*At end of row, make 1SK, Tr into 3rd of 3ch below. Turn.
Row4:
(Make 2SK [each 3chain long], skip 2sk, Dc into dc below,) repeat to end of row.*
*At end of row, Dc into 3rd of 3ch below. Turn.
Repeat Rows 2 to 4 until required length, finishing last repeat at end of a Row3. Turn.
Final Row:
You may want to finish with a chain edging.
Ch1, skip tr, Dc in dc below,
(Ch3, skip 2sk, Dc in next dc,) repeat to end, Dc in top chain of 3ch below. FO.
The Researcher has found two examples for us, where these stitches are used creatively and in an unexpected manner. Enjoy!
Fastening off...
