Zigzag

This pattern is very intricate but also very nice.
Cast-on a multiple of 14 + 29 (symmetry) + 2 (edge)
Row 1: k1, *sl1yo, k1; rep from *, sl1yo, sl1 wyif
Row 2, 6, 10, 14, 18, 22, 26, 30, 34, 38: sl1 wyif, *brp1, sl1yo; rep from *, brp1, sl1 wyif
Row 3, 7, 11, 15, 19, 23, 27, 31, 35, 39: k1, *sl1yo, brp1; rep from *, sl1yo, sl1 wyif
Row 4, 8, 12, 16, 20, 24, 28, 32, 36, 40: sl1 wyib, *brk1, sl1yo; rep from *, brk1, sl1 wyib
Row 5: k1, *sl1yo, brkyobrk, sl1yo, brLsl, [sl1yo, brk1] 4 times; rep from *, sl1yo, sl1 wyif
Row 9: k1, *sl1yo, brk1, sl1yo, brkyobrk, sl1yo, brLsl, [sl1yo, brk1] 3 times; rep from *, sl1yo, sl1 wyif
Row 13: k1, *[sl1yo, brk1] 2 times, sl1yo, brkyobrk, sl1yo, brLsl, [sl1yo, brk1] 2 times; rep from *, sl1yo, sl1 wyif
Row 17: k1, *[sl1yo, brk1] 3 times, sl1yo, brkyobrk, sl1yo, brLsl, sl1yo, brk1; rep from *,sl1yo, sl1 wyif
Row 21: k1, *[sl1yo, brk1] 4 times, sl1yo, brkyobrk, sl1yo, brLsl; rep from *, sl1yo, sl1 wyif
Row 25: k1, *[sl1yo, brk1] 2 times, sl1yo, brRsl, sl1yo, brkyobrk, [sl1yo, brk1] 2 times; rep from *, sl1yo, sl1 wyif
Row 29: k1, *sl1yo, brk1, sl1yo, brRsl, sl1yo, brkyobrk, [sl1yo, brk1] 3 times; rep from *, sl1yo, sl1 wyif
Row 33: k1, *sl1yo, brRsl, sl1yo, brkyobrk, [sl1yo, brk1] 4 times; rep from *, sl1yo, sl1 wyif
Row 37: k1, [sl1yo, brk1] 6 times, sl1yo, *brRsl, sl1yo, brkyobrk, [sl1yo, brk1] 4 times, sl1yo; rep from *, brRsl, sl1yo, brkyobrk, [sl1yo, brk1] 5 times, sl1yo, sl1 wyif
Row 41: k1, [sl1yo, brk1] 5 times, sl1yo, brRsl, *sl1yo, brkyobrk, [sl1yo, brk1] 4 times, sl1yo, brRsl; rep from *, sl1yo, brkyobrk, [sl1yo, brk1] 6 times, sl1yo, sl1 wyif
Repeat only rows 5-44 until reached the desired length of the scarf

Abbreviations:
k - knit
brk - brioche knit
brp - brioche purl
sl1yo - slip 1 with yarn over needle
sl1 wyib - slip 1 purlwise with yarn in back
sl1 wyif - slip 1 purlwise with yarn in front
brkyobrk - brioche knit, yarn over, brioche knit (that in the next row will be knitted as sl1yo, p1, sl1yo)
brLsl - brioche left slant decrease
brRsl - brioche right slant decrease 

For more details, watch the video tutorial:
It can be easier to understand this pattern if you see the chart:

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