patterns >
Knit/Wit
> Non-Euclidian
![](https://images4-f.ravelrycache.com/uploads/PAKnitWit/499344095/IMG_2612_thumbnail.jpg)
![](https://images4-f.ravelrycache.com/uploads/PAKnitWit/499344095/IMG_2612_small2.jpg)
![](https://images4-g.ravelrycache.com/uploads/Kino/813487366/DC967FCE-116A-4E7A-AB7D-BE69DBD7EE06_small2.jpeg)
![](https://images4-f.ravelrycache.com/uploads/coxabey/622202461/584F3220-85EC-4E6D-82F7-E8E4F6BFBE06_small2.jpeg)
![](https://images4-f.ravelrycache.com/uploads/aidyltink/629775043/13710646-85C9-46B9-9D9D-79D28ECA9003_small2.jpeg)
![](https://images4-g.ravelrycache.com/uploads/Domicroche/686621609/B1BDA508-3DE5-44AB-B4C5-321B25E94FD4_small2.jpeg)
![](https://images4-f.ravelrycache.com/uploads/fibernymph/598440771/Rhinebeck_Sweater_Weather_small2.jpg)
![](https://images4-g.ravelrycache.com/uploads/SpinningJenny/505140136/BC8B482A-ED9A-4A78-8BDF-2E6DAA6D34AA_small2.jpeg)
![](https://images4-f.ravelrycache.com/uploads/laprunminta/500015131/12DC32A3-E0ED-49BD-B09D-B7E713374507_small2.jpeg)
Non-Euclidian
As of July 2019, this pattern now includes a cheat sheet to help you work a Non-Euclidian heel on any sock -- any stitch count (as long as it’s a multiple of 4) and any gauge!
Geometry was my favorite math class in high school; the logic of it just made more sense to me than any other math I’d taken. Even today, I am strangely satisfied by geometric patterns wherever I see them. Designing knitwear has offered me a new way to use geometry and challenged me to translate two-dimensional shapes into three- dimensional objects. This heel was borne of a desire to create a shape that was somewhere between a triangle and a pyramid to hug the back of the foot.
This sock pattern features a new take on the heel. It uses lifted increases to gently form a triangle of fabric that hugs the heel. The heel turn forms a second triangle under the heel and decreases the extra stitches. Although the pattern, as written, is for a stockinette sock, it is easy to insert the heel into any patterned sock using the same stitch counts.
To knit this pattern, you need to know how to:
- work in the round (using knit and purl),
- do lifted increases,
- do standard decreases (k2tog, ssk, p2tog), and
- use Kitchener stitch to graft live stitches.
Most people will need roughly 100 g of fingering weight yarn to knit a pair of these socks; actual yarn usage will depend upon the size made and the length of the foot. If you are knitting the largest size and/or have very long feet, you may require more than 100g. Please make sure you have enough yarn to complete your project.
Tech editing by eledixon
Looking for the toe-up version of this pattern? Take a look at CPCTC!
59975 projects
stashed
64720 times
- First published: February 2018
- Page created: February 6, 2018
- Last updated: June 10, 2022 …
- visits in the last 24 hours
- visitors right now