1 THE SHAPE OF SHAWLS TO COME An Exercise in Shaping and Variation This originated as a mental gymnastics project I was working online at a knitting forum in the past. It has been expanded & revised several times. There is a lot of information here regarding the various methods of shaping for "standard" shawl types, and some less usual shapes. NOTE: For the most part I have not included construction methods that involve piecing. This is by no means an exhaustive listing of methods for shaping of shawls, nor does it take into account modifications that might be necessary due to patterning within the basic shape. 1) CIRCULAR: 1a) Steady Increase This is a pretty simple concept. If you increase the number of stitches evenly 8 stitches every other round you will end up with a circular shawl. (Technically it will be an octagon - but blocks quite easily to a circle) Many patterns take advantage of this and the motif is repeated 8 times, with the motif increasing 1 stitch every other row; or some variation on number of motifs and increase per row that works out to 8 increases every other row. Worked in-the-round. NOTE: for very lacy patterns the number of panels may be reduced to seven or even six and still yield a flat circle when blocked. WHEN this can be done is a learned thing. Revised 2013
2 The Shape of Shawls to Come 2 The minimum number of increases per round for a flat piece of fabric would be 4 increases every row. However, unless the point of increase is changed frequently and with care, this will result in a four sided figure. (See SQUARE below) For practical purposes to create a flat circle: 8 increases evenly spaced every other row 12 increases evenly spaced every third row note: six pairs of increases to work a hexagon 16 increases evenly spaced every fourth row Note: eight pairs of increases to yield an octagon 20 increases evenly spaced every fifth row 24 increases evenly spaced every sixth row Etc. (See the table at the end of the document) Other rates of increase are possible - as long as the average lies somewhere near the 4 increases per round
3 The Shape of Shawls to Come 3 1b) Punctuated Equilibrium I stole this name from a theory of evolution, which theory supposes that genetic changes (increases) occur bunched together at intervals rather than as a steady state. This method is still based on the 8 stitches every other row equals a circle. Rather than a gradual increase over a number of rows this would have planned increase rows with wider spacing between the increases. The average rate of increase over the number of rows remains steady at 4 per row, but the increases themselves appear at varying intervals across the rows. This is useful for doing concentric rings of lace motifs, especially if the lace motifs gradually grow larger as you get further from the center. The rate of increase can be changed at any point where the number of rows completed times four equals the number of stitches in a round and you will still get a circle. Useful for working spiral patterns - especially when the number of "spokes" in the spiral is NOT a multiple of four. 1c) 'Pi' shaping This method of constructing a circular piece is based on the formula for the circumference of a circle. "Circumference equals twice the radius times the constant 'Pi' " Once the math is worked out this means: C=2πr If you double the number of stitches in a round each time you double the number of rounds completed you will be making a circle. The pi shaping method is extremely useful for doing concentric rings of lace patterns as the stitch count remains constant within each band of rounds between the increase rounds. NOTE: "Pi-shaping" should be called "Two-R" shaping as mathematically the constant 'Pi' drops out of the equation, but the name is in use and will most likely remain so. Though some variation is possible - a common pattern would be: Cast on 9: double on the 1st, 3rd, 7th, 14th, 27th, 52nd, 101st, 198th rows. Or you might double on 1st, 3rd, 8th, 17th, 35th, 71st, 143rd, & 286th You want to try and maintain a number of stitches per round that averages 4 per round worked.
4 The Shape of Shawls to Come 4 1d) WEDGES: It is possible to construct a circle constructed by using short rows, forming wedge shapes. The simplest variation would be to have 8 wedges. After each wedge is reduced down to the minimum stitches, the return row is knit across the entire wedge and the next wedge started. When the number of wedges for the circle is complete, the final row is grafted to the cast-on edge. In the simplest case each right side row would be two stitches shorter; with the eight wedges, this gives you the 8 increases per row to shape the circle. With 12 wedges, each right side row would decrease by 3 stitches. With 16 wedges, each short row would decrease by 4. 1e) Circumference inwards: For those who like making their life difficult. (A method for the truly insane) You CAN start with the circumference (outer rim of the circle) and DECREASE using methods a, b, or c; ending in the center. It is also possible to work in wedges, casting on/picking up additional stitches at the appropriate row to form the wedge rather than short rows. 2) SQUARE 2a) Edge to Edge Probably the simplest means of constructing a square - cast on the width desired and knit until the piece is square. In garter stitch you will probably knit twice the number of rows as you have cast on stitches. In stocking stitch the number of rows will most likely be closer to 1.5 times the number of cast on stitches. Exact numbers depend on your personal gauge, but the above figures are a common range.
5 The Shape of Shawls to Come 5 2b) Corner to Corner: 2b-1) Starting with a small number of stitches (usually no more than three) - add 1 stitch at the beginning (or end) of every row until the edges are the width desired for the square. Then; decrease 1 stitch at the beginning (or end) of every row. 2b-2) Starting with a minimal number of stitches (normally 3) you add 1 stitch At the beginning *and* the end of EVERY OTHER row to the midpoint (the square is half completed) and then decrease 1 at the beginning and end of EVERY OTHER row. This alternate method in my opinion gives a more balanced construction. 2c) Circular A square constructed in a circular manner seems a contradiction in terms. If you are knitting in the round and put 4 evenly spaced pairs of increases in every other round, keeping the increases lined up on each increase round, you will find that you are knitting a square by going around in circles! Each set of increase/row combinations that result in a circle will result in an even sided polygon when the increases are lined up in pairs rather than equidistant assuming that the figure is not distorted by the pattern itself or by blocking. A simple square knit in the round might be 4 triangles worked consecutively side by side per round If working from a half chart, the chart row would repeat 8 times per round, with every other repeat being read left to right.
6 The Shape of Shawls to Come 6 2d) Mitered: The simple single mitered square: Start with a cast on 4 times the width of your desired square. Every RS row, work a double decrease in the center of the row. If you have an odd number of stitches you may choose between either a pair of single decreases, or a double decrease; for even number of stitches use a pair of single decreases. Continue until you don't have enough stitches left to decrease! 2E) Perimeter INWARDS Combining 2c) and 2D) Cast-on enough stitches to form the perimeter (outside edge) of your square, join and knit in rounds. Create double decreases (or alternatively paired single decreases) at beginning of round, the 1/4 mark, the 1/2 mark and the 3/4 mark every other round (the four corners) on right side rounds. 2F) Triangular Construction A square can be formed of two, four or eight equal triangles pieced together. MORE triangles will fit together to form a square; but by that point you are really talking major constructions, and the size and shape of the triangles either begin to vary, or they form smaller squares that fit into the larger square. Note that with eight triangles every other one is reversed. This approximates the mirroring that occurs when working a square in the round with a half chart. Squares using triangular construction can also be done piecing the individual triangles together, or can be worked with a continuous modular construction. The two triangle square could be constructed with 2 double downs grafted together or two tip up triangles grafted along the hypotenuse. Technically it could also be done by using a provisional cast on and working the triangles with a decreasing method outwards from the center. The four triangle square can be done in the round, pieced or as a continuous modular construction.
7 The Shape of Shawls to Come 7 2G) Log Cabin construction Familiar to quilters; Log Cabin construction begins with a small square. Rectangles of equal width and of a length to project past the square by the width of the square are then added along each edge in turn. The growth may be terminated at any time by ending the last rectangle evenly with the edge of the square. The direction of knitting for each section of the log cabin construction may vary. The pieces may be knit separately and assembled or they may be knit and attached simultaneously in an entrelac-like manner. 3) Variations on a circle: 3A) Open Circle For an open circle you knit back and forth from the ends of your "round" rather than in a circle. This works best with patterns that are either solid or that have a strong center line or straight edge to them. Selvedge stitches would need to be added. 3B) Super-circle aka Hyper-circle In most cases, if you take a circle with a motif that radiates from the center - and increase the number of repeats (for example from 8 to 10, or 12) then you end up with a supercircular piece. The individual motifs will lie flat, but the piece as a whole will ruffle if you try to lay it out, and when folded in half will form MORE than a half-circle. Some patterns which require extreme blocking to lie flat in the original may require more or less additions in order to become hyper-circular.
8 The Shape of Shawls to Come 8 3C) Semi-Circular By REDUCING the number of motifs necessary for a full circle AND knitting back and forth (flat) with an opening you can do any number of semi-circular shawls. LESS than a half-circle isn't very useful as a shawl; but any portion of the circle greater than half gives a good shape to a shawl and improves the fit around the shoulders. Laid out flat these will look like pies with a slice (or multiple slices) removed until you have a half-circle. Assuming an 8 segment circle the illustrations to the left show the shapes of 7, 6 and 5 segmented open circles. 4 Segments would yield a half-circle. 3d) PI-R2 style NOTE: Neither of the methods below is the actual way the original "Pi-r-squared" was shaped; but in my opinion the "true" method is needlessly complex. The methods I have given I believe produce the same basic shape with a lot less hassle I wasn't sure if this should be in its own section or in the "ruana" section. If you take two squares or rectangles, lay them side by side and then connect them across the top with a halfcircle you end up with what I consider the Pi-R-square shape. This could easily be done by piecing it, but also simply knit by knitting the two square/rectangular pieces edge to edge, while forming the half circle from stitches cast on between the two square pieces. The diagram shows the above method. The arrows indicate the direction of growth. The cast on forms the "neckline" and the piece is worked flat between points a & b. The semicircular back is formed with either pi-shaping or another semi-circular construction. An alternate method would be to knit one square, then use short row shaping until you have formed a complete half circle and then knit the second square
9 The Shape of Shawls to Come 9 4) Stole: By stole I mean a long, rectangular wrap - the longer edges being your top and bottom of the wrap and the shorter edges being the "sides" 4a) Lengthwise: 4a-1) edge to edge This would be simply casting on the desired width/depth and continue until the length is appropriate. 4a-2) on the bias Note: arrows show the direction of growth. The knitting is perpendicular to the direction of growth. Starting with a few stitches and increasing along one edge until the desired width is attained. Once the desired width is obtained you can either knit straight (which is essentially 4a-1 with a shaped end) or more often with this type the increases on one edge are then balanced with decreases on the other edge so that the knitting proceeds on a biased slant) until the desired length, when decreases mirror the increases of the beginning end. 4b) worked across Cast on enough stitches to form the length of the shawl and knit until desired depth is achieved. 4c) balanced halves - For this variation the two halves are worked separately allowing one to mirror the lace/pattern in direction.
10 The Shape of Shawls to Come 10 4c-1) from the ends - half the length of the shawl is knit from each end and the two pieces joined at the center. 4c-2) from the middle - a provisional cast on at the beginning - work half the length of the shawl to the end, then return to the cast-on, pick up the stitches from your provisional cast-on and work second piece to the end. 5) Triangular 5A) Single triangle: Tip to neck - increasing 5A1) increasing 1 at beginning (or end) of EVERY row having started with a minimal number of stitches. 5A2) increase 1 at beginning AND end of every ALTERNATE row NOTE: 5A2 would be the "standard" charted triangle - normally charted without the resting rows. 5B) Single triangle: Tip to neck - decreasing 5B-1) Cast on stitches equaling the length of the two sides adjacent to the tip. Work a single decrease at the center of every row. 5B-2) Cast on stitches equaling the length of the two sides adjacent to the tip. Do a double decrease (or a pair of single decreases) at the center of every ALTERNATE row. Of the two methods above; the second is much simpler to track as the former method means you alternate between an even and an uneven numbers of stitches.
11 The Shape of Shawls to Come 11 5c) Double triangle - tip to neck, decreasing Starting with a cast-on equal in length to the length of the two sides of the triangle: For Every alternate row: perform a Single decrease at the beginning and end of the row; PLUS a double decrease (or pair of single decreases) at the CENTER of the row. 5d) Single triangle - neck to tip; decreasing 5D1) beginning with a cast on equal in length to the width of your finished shawl, double decrease consistently at beginning or end of EVERY row 5D2) Beginning with a cast on equal in length to the width of your finished shawl: double decrease at the beginning and end of every ALTERNATE row 5e) Double triangle - neck to tip, increasing This is the method I describe as a "Double Down Triangle" Start with a minimal number of stitches. On every ALTERNATE row, work single increases at beginning and end of row, plus a double increase at the center.
12 The Shape of Shawls to Come 12 6) Faroese I bought the book Bundanaurriklaedid with the English translation of the text from Schoolhouse press. It has a wealth of information regarding the traditional Faroese shawl. A Faroese shawl is basically two shaped triangles with a center panel (usually also shaped) - the shaping helps the shawl fit over the shoulders and stay on. Traditionally they are done in a garter stitch, starting at the outer edges and ending at the center neck. As a result of the shaping the basic triangle shape morphs into a 'butterfly' or 'angel wing' shape, with the arms of the triangle curving up around the center. The amount of shaping determines the shape and length of the curve. 6a) Faroese - edge up. This is the traditional manner. A huge number of stitches are cast on (enough to equal the length of the two outer edges of the shawl plus a central panel) and regular decreases at the outer edges and either side of the center panel make the basic shape. Additional decreases spread evenly through the side panels and to a lesser extent the central panel, provide the special shaping. One could also knit an edging long enough to equal the caston length and pick up stitches along the edge before knitting the body of the shawl. 6b) Neck down - basically, again, a double triangle with a central panel inserted between the two. Regular increases occur at either edge and on either side of the central panel. Additional increases spread through the side panels and to a lesser extent the central panel, provide the special Faroese shaping. The psuedo-faroese is worked with less shaping then the traditional version but fits better than standard triangles.
13 The Shape of Shawls to Come 13 6c) "mock Faroese" or "psuedo-faroese" double triangle with a central panel - worked in either direction but without the additional shaping. This still "fits" better than a straight triangular shawl as the center panel fits around the neck. May be worked as the double triangle either neck to tip or tip to neck. 7) Ruana The Ruana is about as close as a wrap can be to being a poncho without being a poncho. The traditional shape for a ruana would be square with two rectangles attached that form the front of the wrap, the space between the rectangles forming the front opening and the neckline. See the pi-r-square (which is very much a rounded variation of a ruana). An alternate construction would consist of three parallel rectangular strips; the outer two identical and the third half the length and only as broad as the neckline. I would include in this category the "open square"; open either from the center to the midpoint of a side; or open from the center along the diagonal to one corner. Multiple methods can be used to produce these shapes in either the traditional formats or the square formats. The traditional ruana has an overall rectangular shape, whereas the open square is (oddly) square. Open squares can also be worked with the opening on the diagonal so that the fronts of the piece are pointed. Which leads to the: 8) Fichu The typical "fichu' shape is a three triangle construction. The easiest technique is the same as a neck to tip double triangle, only instead of repeating the triangle twice, with increases at either edge plus either side of the central point; the triangle is repeated THREE times, with increases on either edge and on either side of TWO spines.
14 The Shape of Shawls to Come 14 Some people like this form (on left) as it is straight across the rear hemline. An alternate construction divides the third triangle in half, working one half on each edge - preserving the point. 9) Heart Shaped The heart shaped shawl approximates the shape of a faroese shawl without resorting to the center panel or additional shaping internally (which can wreak havoc on lace patterning). It provides a better "fit" around the shoulders then the standard triangles. The most common method used to produce this shape is similar to the double down triangle, using six increases per pair of rows (for most or all of the piece). The increases can be arranged is varying manners, each of which produces a slightly different form and each of which also has specific difficulties fitting (and charting) lace repeats into the finished fabric. 9A) Single increases on right side rows at either end, plus a double increase at the center PLUS a double increase at the center on wrong side rows. 9B) Double increases at the either end of right side rows plus a double increase at the center 9C) Single increases on right side rows at either end, plus a double increase at the center PLUS single increases at either end of wrong side rows.
15 The Shape of Shawls to Come 15 10) Crescent This may be thought of as a curved stole or a shallow semi-circle. Many consist of a semi-lunar shape in garter or stocking stitch with lacework along the hemline and/or the neckline. 10-A) End to end 10A-1 with short rows short rows are used to form the curve of the body as you progress the length. 10A-2 increasing and decreasing the body of the shawl is increased to form a curve to the center point then decreased to mirror 10-B) Hemline up 10B-1) with short rows The shaping consists of short rows starting at the center and getting longer as you progress UP the body 10B-2 - with decreases Decreases can be worked spaced as if the piece were a chord of circle larger in diameter then the desired "wingspan" of the piece. 10C-3 decreases at ends only - 2 on either end on right side; 1 on either end on the wrong side (makes a strong curve) 10-C Neckline down 10C-1) - with short rows The shaping consists of short rows that gradually get shorter as you progress DOWN the body 10C-2) - with decreases Casting on the complete neckline decreases can be worked spaced as if the piece were a chord of circle larger in diameter then the desired "wingspan" of the piece.
16 The Shape of Shawls to Come 16 10C-3 - with decreases at the ends only Right side rows increase twice at either end Wrong side rows increase once at either end This forms a strong curve. The Diagrams reflect possible shapes of crescents, not necessarily that achieved with any one particular method of construction. NOTE OF INTEREST: The 6 increases per pair of rows on the ends only method can be used to produce a heart shaped shawl with less depth then the adaptation of the double down shaping; if you start with just a few stitches. If the piece is started with a significant portion of the neckline (say the width of the shoulders) as the cast on edge then a shape closer to a crescent stole is formed.
17 The Shape of Shawls to Come 17
18 The Shape of Shawls to Come 18
19 The Shape of Shawls to Come 19 NOTE: if used as a 16 segment circle the design will "swirl" as the increases are not paired and are biased in one direction.
20 The Shape of Shawls to Come 20 One increase per three rounds gives a six panel hexagon or circle (depending on blocking). Note the resting rows are shown.
21 The Shape of Shawls to Come 21 Half charts are useful as they allow more legible information to be fit on the page. The leftmost column is normally the pivot point. Each chart row is worked in the normal fashion from right to left, then worked back from left to right; skipping the leftmost column and reversing the decreases as appropriate (mirroring) When worked as a full chart (reading right to left only) such a chart normally produces a swirled design as the increases are biased in a single direction.
22 The Shape of Shawls to Come 22 Chart is configured for a 12 panel balanced segment circle. Resting rows not shown. If you replace the row numbers so that they are consecutive (including all rows) then it becomes is a six panel balanced segment chart.
23 The Shape of Shawls to Come 23 Full chart for 16 balanced segment circle. NOTE: if the rows are numbered consecutively to include the resting rows this could be used for an 8 panel circle / octagon; useful if doing lace that has "movement every row"
24 The Shape of Shawls to Come 24 An alternate increase scheme for 12 panel if mirrored or a 24 panel swirl resting rows not shown. If the rows are numbered consecutively (including the resting rows) it is an alternate scheme for a mirrored 6 panel or a 12 panel swirl.
25 The Shape of Shawls to Come 25 Chart for a 10 panel if mirrored 20 panel swirled If you renumber the rows consecutively to include resting rows it would be a five panel mirrored chart / 10 panel swirl.
26 The Shape of Shawls to Come 26 Chart is for 7 panel if mirrored; 14 panel swirled
27 The Shape of Shawls to Come 27
28 The Shape of Shawls to Come 28 A tentative chart for a 32 segmented circle One does not normally wish to start a circular piece with too many stitches as closing the gap in the center will either leave a hole or bunch up the initial rounds in an unsightly manner. So for larger segmented pieces There is an increase phase; followed by the actual pattern. In this hypothetical chart the first 8 rows (4 charted rows) allow for the expansion of an 8 stitch cast on into 32 stitches. That portion of the chart would be worked 8 times per round. After that, the chart would repeat 32 times per round. Theoretically a 32 segmented circle would increase every 16 rounds. This could cause some distortion in earlier rounds so for this chart I chose to increase at a greater rate while expanding each segment Another method would be to increase as if the piece had a lesser number of segments until the stitch count of a round is divisible by both the current segment count AND the desired segment count. For Example - a round with 128 stitches wold be a 16 stitch 8 segments per round, but only 4 stitches per 32 segments per round.
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Levens Page 1 of 6 A simple stockinette shawl with a central row of ruching which widens to include two more ruffles and a delicate lacy edge. Starting in the centre, increases are placed on the inside
83½" x 100" quilt designed by Monique illard Gradiance fabric collection by Maywood Studio utting Fabric #1 for Kaleidoscope Triangles: Note: o not cut fabric #1 outer borders at this point. Outer borders
materials and tools materials and tools ¼ yard white fabric (shirt) ⅓ yard black fabric (cape and belt) ⅓ yard red satin (cape lining) ½ yard red ⅝ʺ-wide ribbon (flower) ⅔ yard black 1ʺ-wide ribbon (tie)
Converting Area Measurements We already know how to convert between units of linear measurement. Ex. To convert between units of area, we have to remember that area is equal to, or length X width. This
Radiant Star Each point has 64 diamonds that are arranged in eight rows with eight diamonds in each row Compliments of www.quilting-tidbits.com Color Layout Guide Using your fabric choices You will cut
Quilt 70"x70" Hartfield Barbara Brackman Quilt Size 70"x70" Hartfield Barbara Brackman Quilter Basics Read instructions before beginning a project. All instructions include a ¼" seam allowance. Press as
GE 6152 ENGINEERING GRAPHICS UNIT - 4 DEVELOPMENT OF SURFACES Development of lateral surfaces of simple and truncated solids prisms, pyramids, cylinders and cones - Development of lateral surfaces of solids
xyz I 4 5 6 cde updated /4/07 A Gathering of Lace 34 lace knitters share their secrets and projects Corrections & Clarifications First Printing 2000 Page 6 Faux Russian Stole The Center Motif Chart: Rows
Basic Mathematics Review 5232 Symmetry A geometric figure has a line of symmetry if you can draw a line so that if you fold your paper along the line the two sides of the figure coincide. In other words,
Kathy s Version of the Disappearing Nine Patch Quilt 46 ½ x 64 ½ This version uses nine fabrics, is stripped pieced, and has side borders only. As simple as pie to make and yet so warm and cozy. Use the
Published on Sew4Home Makeup Brush Roll-up Case with Secret Pocket Editor: Liz Johnson Monday, 22 June 2015 1:00 This is our second brush caddy design, the first one having held a firm place on our Most
Page 1 part 1 PART 2 Page 2 Part 1 Part 2 Page 3 part 1 Part 2 Page 4 Page 5 Part 1 10. Which point on the curve y x 2 1 is closest to the point 4,1 11. The point P lies in the first quadrant on the graph
Just One Fold This pdf looks at the simple mathematical effects of making and flattening a single fold in a sheet of square or oblong paper. The same principles, of course, apply to paper of all shapes.
Quilt by Deb Mosa Finished Quilt Approximately: 71-3/8" x 85-1/2" - Finished Block Size: 14-1/8" square Pilot to Co-Pilot fabrics by Exclusively Quilters - Style #3805 Fabric Requirements: Based on 44"
Dictionary of Sewing Terms A Armscye- armhole Arrowhead stitch/arrow- Triangular stitch used as decoration when stitched loosely or to reinforce strain areas of a garment when stitched tightly Awl-hand-held
MATH STUDENT BOOK 6th Grade Unit 8 Unit 8 Geometry and Measurement MATH 608 Geometry and Measurement INTRODUCTION 3 1. PLANE FIGURES 5 PERIMETER 5 AREA OF PARALLELOGRAMS 11 AREA OF TRIANGLES 17 AREA OF
1 Making the Violin Geometric Arching Shape and A Method of Thickness Graduating Plates By Robert Zuger Mejerigatan 16 SE26734 Bjuv Sweden Email: firstname.lastname@example.org INTRODUCTION In an earlier report
vailable in two colorways (Winter, Summer as shown), and five sizes (miniature to King). 00, 05, RJR Fabrics. ll rights reserved..05 Navajo Seasons is a bargello-style quilt that is created from two simple