Square Root

Square Root Knitted Afghan by Woolly Thoughts

What is Being Made

Square Root is a knitted afghan or wall-hanging designed by Pat Ashforth and Steve Plummer of Woolly Thoughts. An afghan is a small blanket suitable for warmth or decorative purposes. This design measures approximately 115 cm (45 inches) square and can be displayed as either a cozy throw blanket or mounted as a decorative wall-hanging. The finished piece showcases a mathematical design featuring seven nested squares, making it both a functional textile and an artistic statement piece.

Design Structure and Mathematics

The Square Root design is rooted in mathematical principles, specifically Pythagoras' Theorem. The pattern features a small square at the centre, which is surrounded by progressively larger squares. Each successive square is positioned so that the corners of the inner square touch the sides of the outer square. This geometric progression continues through seven squares in total, creating a visually striking spiral effect. The relative sizes of each square are calculated using mathematical formulas, making this an intellectually engaging project for crafters interested in the intersection of mathematics and textile arts.

Knitting Techniques Used

Square Root is worked entirely in garter stitch, making it an accessible project for knitters of all skill levels, particularly beginners. The afghan is constructed as one continuous piece, beginning at the centre and building outward. Rather than casting on a large number of stitches at the start, each triangle section is worked by picking up stitches from the edges of previously completed sections. This modular approach to construction simplifies the knitting process and allows crafters to build the design systematically from the inside out.

Stitches and Stitch Details

• Garter Stitch: The sole stitch used throughout the entire project. Garter stitch is created by knitting every row, producing a textured, reversible fabric with horizontal ridges. This stitch is ideal for beginners as it requires only basic knitting knowledge and creates a sturdy, stable fabric suitable for blankets and throws.
• Picked-up Stitches: Stitches are picked up from the sides of completed sections to create new triangular sections, eliminating the need for complex shaping techniques and making the construction process straightforward.

Materials and Yarn

The pattern instructions are written for two strands of Double Knitting (DK) yarn worked together. However, the design is highly adaptable and can be easily modified to work with other yarn weights and types. Suitable alternatives include sport weight, worsted weight, heavy worsted, aran, and 6-ply yarns. The flexibility in yarn choice allows crafters to customize the finished size and drape of their afghan based on available materials and personal preference. Using two strands of DK yarn creates a fabric weight comparable to worsted or aran yarn, providing good stitch definition while maintaining the simplicity of garter stitch.

Needles and Tools

While specific needle sizes are not detailed in the provided content, knitters working with two strands of DK yarn will typically require needles appropriate for worsted-weight yarn. The pattern includes instructions for picking up stitches, a fundamental technique that may benefit from the use of a crochet hook for those less experienced with this method, though it is not required.

Difficulty Level

Square Root is classified as a beginner-friendly project. The exclusive use of garter stitch eliminates the need to master complex stitch patterns, and the modular construction method simplifies the overall building process. Beginners will gain experience with basic knitting techniques while creating an impressive finished piece that demonstrates mathematical principles through textile art.

Wall-Hanging Conversion

The downloadable PDF includes instructions for converting the afghan into a wall-hanging, providing versatility for different display preferences and living spaces. This allows crafters to choose whether their finished piece will serve as a functional blanket or as a decorative textile art installation.

Project Classification

Square Root falls within the blankets and throws category as well as decorations, making it suitable for multiple uses and gift-giving occasions. The design appeals to crafters interested in mathematical concepts, modern geometric aesthetics, and accessible knitting projects.