Purlbed

Pleats and folds › Origami structures

Radial Corner-and-Edge Square Fold

A single square in which creases from each corner and each edge midpoint meet at the centre, alternating M and V. Folded up, it rises into a point (pyramid or tent). A variant adds square creases parallel to the outer edge (concentric frames).

Machine types that can knit it

Demo swatch

Drawn for: Double-bed hand flat (V-bed)
Approximate preview worked out from the bed chart, not a photo.
Bed chart
1510152025303540→←→←→←→←→←→←→←→←→←→←→←→←→←→←→←→←→←→←→←→←Front bedBack bedBoth beds (double jersey)1 square = 1 stitch × 1 row · read from the bottom · Hand flat (V-bed), 40 needles, half pitch
Needle notation, first steps
1. Row 1: knit 1 rowBed-selected motif (front 2 /back 4 / both 34)carriage →backfront2. Transfer 2 stitches to theback bedbackfront3. Row 2: knit 1 rowBed-selected motif (front 2 /back 6 / both 32)← carriagebackfront4. Transfer 2 stitches to theback bedbackfrontShowing needles L20–R4 of 40; repeat across the working area.

The full card

What it looks like
A single square in which creases from each corner and each edge midpoint meet at the centre, alternating M and V. Folded up, it rises into a point (pyramid or tent). A variant adds square creases parallel to the outer edge (concentric frames).
How it behaves
Collapses into a single peaked form. It cannot be tessellated.
How it works
Diagonal folds running corner to corner, plus vertical and horizontal folds running edge to edge, all through the centre, with alternating beds by type and angle. The concentric variant adds horizontal and vertical fold segments that start and stop at the frame corners.
Machines
Needs a double bed. Best on fine-gauge V-bed. The piece size is limited by needle count and weight.
Parameters
Finished square side S (needles and rows from the tension swatch), number of concentric frames. 1. Swatch and finish it, then compute needles and rows for S. 2. Chart all crease lines. 3. Knit, moving the diagonal bands toward the centre and then away again.
Charting
An X of diagonals plus a central cross, colours alternating per crease.
Limits and common problems
It must finish exactly square to fold symmetrically.
Combines with
origami-crease-translation.
Pieces and assembly
A single object, e.g. a lid, roof, or cap tip.

Written in our own words from machine manuals, knitting references and swatching. Knit a test swatch before a whole piece.

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