Sierpinski Arrowhead Women's Socks — Black & White
Sierpinski Arrowhead Women's Socks — Black & White
Giving it as a gift? Print its story card to tuck in with it.
One unbroken line that draws Sierpiński’s triangle.
Take a straight line and replace it with three shorter ones, bent at sixty degrees like the first strokes of a zigzag. Do the same to each of those, turning alternately left and right, and keep going. The line never crosses itself, yet as the steps go on, it threads through every corner of Sierpiński’s triangle: the same lace as the rest of our Sierpiński range, but this time drawn in a single stroke.
It sits between a line and an area. Its fractal dimension is about 1.585, the same as the triangle it traces: more than a curve, less than a solid shape.
This print draws the line at several depths at once, so no two patches are the same.
Who it’s for
Fractals do real work: antenna engineers use Sierpinski shapes to make one antenna work across several frequency bands, and programmers meet the triangle as the classic lesson in recursion. A subtle nod for electrical engineers, software developers, computer scientists and math teachers.
A small hit of mathematics under a formal outfit, or the gift that actually gets worn.
The Women’s Socks
- 75% polyester, 10% cotton, 10% nylon, 5% spandex: soft, breathable and stretchy.
- Crew length, one size, about 36 cm (14 in) long.
- Black toe and heel.
- Machine wash warm, tumble dry low.
Every Zenzicube design is grown from a real piece of mathematics. Find more in the Mathematical Menagerie.