The scarf is called "haptical" because of the haptical aspects of the texture ; the rows of crochet feel a little hard, while the long strands of yarn are soft to the touch.
The idea to this scarf is based on the knitted Clapotis from knitty.com. This scarf looks similar, but of course, transferring knitted looks into crochet makes the actual pattern something totally different. Plus, this scarf is rectangular.

Many thanks to Otterwise, JoAnn and especially Sanhita for proofreading!

Material - ca. 300g of sock yarn (420m/ 100g), 3mm crochet hook (if you are living in the US: use size C or D, as required, depending upon how loose or tight you crochet and the thickness of the yarn you are going to use!!)

Mine is 40cm x 120cm, done with 200g of sock yarn.
It can be made like a shawlette by making it wider and longer.

Not important, you see what you get while you are working on it.
One eesc row should be about as long as the esc row plus sc rows between.

Special stitches:

Elongated sc (esc) - Insert hook in next stitch, yarn over, draw loop through, yarn over, draw hook through one loop, yarn over, draw hook through both loops. It is like making an sc with a chain in the middle of the stitch.

Extra elongated sc (eesc) –Similar to making an esc, but draw the fist loop long, so you have a loop of about 3-4cm length (that is about as much as four rows of esc).

Increase eesc - [(eesc1, ch1) x3, eesc1] into the same stitch

Increase eesc at the beginning of a row - Replace the first eesc by pulling the loop of the turning chain to the size wanted.

Decrease eesc - (draw loop, yarn over, skip a st) x3, draw loop, pull yarn through all four loops

Decrease eesc at the beginning of a row - Instead of drawing the first loop, pull the loop of the turning ch to the size wanted.

Ch 2
Row 1 - work 2 esc into second ch from hook, ch1,
Row 2 - turn, work 2 esc in each stitch, ch1,
Row 3 - turn, work 2 esc in first stitch, 1 esc into each st till the last st, 2 esc into the last st. ch 1 (6 sts)
Row 4 – turn and repeat Row 3 (8 sts),
Row 5 – turn, increase eesc, ch1, (eesc1, ch1) till the last st, increase eesc into the last stitch, ch 1. Note: This row will be rather long and floppy; you decrease the extra fixing chains in the next row.
Row 6 – turn, work (one sc into each eesc and one sc into each chain space) in the increase eesc section of the previous row (You’ll have 7 sc here).
work 1 sc into 1 ch and 1 eesc together (in the eesc 1, ch 1 section of previous row) ,