Pythagorean Triple Wrap by Naurid Kashpia Senjuti

Pythagorean Triple Wrap

February 2020
Fingering (14 wpi) ?
US 5 - 3.75 mm
1428 - 1866 yards (1306 - 1706 m)
Flag of English English
This pattern is available for free.

The Pythagorean Triple Wrap is inspired by the formation of 2-dimensional and 3-dimensional shapes used in Mathematics and Biology. It talks about the formation of polygons and DNA structure as well.

The design follows a point-to-point construction (mitered square), using diagonal knitting, texture, cables, lace and short row knitting techniques. It is knitted flat in two pieces and grafted together to create a rectangular shape using four shades to add interest. The occasional use of textures, lace and cables with garter make it modern with traditional essences. It’s a good stash-busting project for both experienced and beginner knitters who love to learn new techniques and play with colors.

This design shows how different geometric shapes join together to form another geometric shape. The basic mathematical concept behind this idea is “Inscribed Square in Right Triangle”. The wrap is named after Pythagoras’s theory. According to Pythagoras, for a right triangle, the sum of the squares of the two sides that join the right angle (the legs, a and b) equals the square of the third side (the hypotenuse, c),

a²+ b² = c².

A right triangle is a triangle that has one 90 degree angle. The most popular right triangle is “3-4-5 Right Triangle”, where the sides are the ratio of 3:4:5. It’s also called “Pythagorean Triple”, as the triangle sides are in a ratio of whole numbers.

If you’re curious about the STEM connection, please read the full description of the pattern. I get deep in A LOT of mathematical and biological theories.

Knit Picks Hawthorne Tonal (80% fine superwash highland wool, 20% polyamide; 357 yds 327m/100g): 2 skeins each of: Corvallis (A); Sweet Home (B); Astoria (C); Eugene (D).

The sample used the following approx. amounts: A: 492 yds (135g); B: 393 yds (110g); C: 535 yds (150g); D: 446 yds (125g).

Size US 5 (3.75mm) needles, straight or 24″ (60cm) circulars

Garter: 23 rows/3.25 inches = 7.07 rows/in

Lace 1 (wave): 18 rows/2.625 inches = 6.8 rows/in

Lace 2 (sheaf): 32 rows/4.375 inches = 7.3 rows/in

100.5” 255 cm long and 26” 66 cm wide

Tapestry needle, 1 stitch marker, stitch holder (spare needle or scrap yarn), cable needle.