Return to circles, knit and crochet “pies” 1

I began a series of posts on miters and spirals created on the knitting machine back in 2011. The oldest posts, knitting math and piesback to that pie, a bit of holding, and revisiting miters and spirals to form varied shapes begin to address creating flat circles in machine knitting using holding techniques.

Hand-knitting in circular format and crochet share some similarities. There are 2 methods of constructing circular work in crochet. 1: in rounds, (akin to knit miters in shape) where the end of each circular row is joined up to its own beginning to form a ring. A new starting chain (s) is formed to take the row to the proper height for the next row to remain constant. Depending on the pattern, one has the option of continuing by turning the work or not at the end of each row. Doing so allows the opportunity of altering textures and work on the fronts or backs of stitches. 2: in spirals. Rather than joining the ring, one continues on by going to the tops of the posts in the previous row.

With spirals, it is useful to mark the beginning of each round. Knitting markers shaped like safety pins are handy for that purpose. A line in a contrasting color can also be created using a separate strand of yarn and alternating carrying it back or to the front prior to forming the first stitch in the new row.

As with knitting, crocheted circles are not true circles, but rather, they are polygons. The way to make shapes more circular is to scramble the location of the increase points, putting them in different starting positions in each round (always spacing them equally and keeping the formula). Within limits, one may make the starting number of stitches in the first round a multiple of the number of segments in the finished shape.

With the creation of a flat circle in mind, the number of stitches needed depends on the height of the stitch. The taller the stitch, the greater the number of stitches required. If the stitch stays the same throughout, the number of stitches added on each round is constant. Test work regularly at intervals as the work grows by placing it on a firm, flat surface, to see if working only one stitch into each stitch is required / enough at that point to maintain the shape. The more segments, the smoother the circumference.

Unlike in hand-knitting, the first loop on the hook does not count as a stitch until you make it into something.

Spirals or miters knit on the machine begin with their radius; one possible construction method may be inferred from these images

Spreadsheet programs such as Excel and Numbers have pie charts and other tools that can help visualize or even plan the work with symbols. Unlike machine knitting, both crochet and hand knitting may begin and grow from the center out or from the outside in. Calculated shaping with increases or decreases along circumferences at different points on the pie creates the desired shape. For the purposes of this discussion, I will address stitches in US terms. There are various published guidelines with some variations. The fiber content and matching gauge (if required) may need editing of the numbers, but, as starting points:
Single Crochet [sc]: Start with 6 sc and increase 6 sc in each round so that the total stitch count in each round is a multiple of 6
Half Double Crochet [hdc]: multiple of 8
Double Crochet [dc]: Multiple of 12
Treble [tr]: multiple of 16

Some symbols and number of stitches required in base rows in table form, for working from the center out:
the more wedges in the pie, the smoother the circumference no matter what the method. Single crochet is worked in 6 wedges double crochet in 12 wedges,  wedges may be reduced to simple line segments rounds may also be created to log in and track more details adding wedge outlines before filling in symbols

single crochet worked with a slip stitch at the end of each row will produce  points similar to those seen in miters in machine knitting

spirals produce a rounder shape double crochet echoes the forms 

Building your own charts requires vector programs to allow for the rotation of symbols around an axis. My chart was quickly produced in Inkscape, which is free to download for both Mac and PC users. Mac users in addition will also need to download XQuartz to run the program. I created the chart with my own symbols and freeform and laid them down while viewing the grid. It turned out, however, that there are 2 published videos on how to use the program for charting crochet stitches, part 1 and part 2 by StitchesNScraps.com

Two YouTube videos on the topic:  using Illustrator CS 5.1, Marnie Mac Lean’s video, and using StitchWorksSoftware. An online generator by Stitch Fiddle, and its associated video.

if donuts are the goal: find your round 

An example: in single crochet, if round 3 had been completed, there would be 18 completed stitches. Chain 18, either slip stitch or continue in a spiral to match the count at that point. For round 4: increase every 4th, round 5: every fifth, round 6: every 6th, and round 7: every 7th stitch. Different stitch heights:

A few sites to see for crochet tutorials:
magic ring start: no chain stitches, no center hole
https://www.youtube.com/watch?v=sLUaywX0-WE
working in spirals
http://snovej.com/archives/freeform-crochet-spiral
a nice ending
https://www.youtube.com/watch?v=W_sW4xX_O70

https://www.youtube.com/watch?v=8L_rtWt78Jw&t=32s
crocheting a flat circle in single crochet: note the start “magic circle”
https://www.youtube.com/watch?v=8oDubbFVE3Y
https://www.youtube.com/watch?v=LZiCnCGP_NQ
changing colors https://www.youtube.com/watch?v=U8cLufFeenU

I tend to swatch in easy-to-see colors, and “friendly” yarn, and use tools that allow moving in and out of stitches easily until I have techniques sorted out. When knitting circles in the round, things get a bit more complex, particularly if one begins introducing items such as round yokes with patterns into garments where gauge matters significantly.

Some of the same principles may be used in hand knitting. For the magic loop start with circular needles: KnitFreedom and on DPs Webs yarn

MK ladders, and a bit of crochet

I have recently been thinking about collars and edgings again, this time adding crochet detailing to help cut the edge curl and add interest. In a previous post, I showed an edging done in drop stitch (double bed lace). Here to simplify things, I decided to work with ladder spaces to create the fabric. If a large width of this fabric is required, multiple bands would need to be joined to achieve it, crochet is then applied in turn to the finished knit piece. Seam as you knit can make the joining nearly invisible. Using Excel, I tried to also create crochet symbols using its shapes menu. The number of rows knit in open pattern or all knit prior to binding off is at your discretion, depending on your needs and planned final product. For my sample I began knitting with COR, and to end with COR for bind off row, I chose to work with even numbered groups of rows. Consider fiber content if the intent is to permanently block as flat as possible, or not.

my chart symbols symbols_70

whole_69

needle set up, waste yarn cast on, knit for the desired length  setup_62img_4095bring one empty needle into work transfer_63img_4096knit one row, bring remaining empty needle into work plain-knit_64img_4097knit one row img_4099knit rows desired for top band img_4100transfer eon from L to the right allk-transfer_65img_4101latch tool bind off around gate pegs for all needles/stitches img_4102

img_4103do not cut yarn, lift work off the machine; turn work over (knit side facing)
chain 5, slip stitch into eyelet created by transfers, repeat across the knit, end with a slip stitch into last eyelet space detail_4121turn work over (purl side facing once again), chain 3, 2 double crochet, slip stitch into the center of chain 5 space, repeat across the knit, end with a slip stitch into last chain 5 space detail_4120unblocked trim, 2/15 acrylic yarn img_4104

img_4105detail after steaming, the trim is side leaning img_4119

img_4118

To use: rehang open stitches on every needle (or other arrangements) eliminating ladder spaces and bind off,  join to another piece of knitting, etc.

A bit of holding 5: intarsia and more 2

So you have some shapes you love and know: wanting to go large, mixing them up, requires thinking things through. Testing on small swatches will help determine holding sequences and whether the results are predictable or even liked. I no longer have access to Adobe Photoshop or Illustrator, so some of my image editing is now achieved in Gimp. Labeling below is with Skitch, and charting is with Excel.

A starting freehand swatch experiment and some observations: shape variations in red areas occur by altering sequence for knitting first and last 2 shapes in the holding position

tulip_knit

tulip_purl

Planning possible sequences out in charting can be confusing. The image direction will be reversed on the knit side. Approaching the technique like intarsia with individual yarns or bobbins eliminates the need for some of the concerns where 2-row sequences or specific starting sides are necessary to keep yarns continuous or for the execution of the desired shape. Trying to imagine the shapes that create the larger one together in a simple 2D drawing can get one started, but then shapes need to be rearranged. I usually began by “playing”, trying to figure out steps needed, and follow that by trying to produce an executable chart. Making the process as easy as possible to track is always a consideration.

screenshot_09possible stitch counts and adding a center-line “stem”/ stripescreenshot_10its knitting sequence tulip_numbereda resulting swatch, stitch counts not consistent with the chart
labeled_075

600_076

In the chart below the design is worked with 2 needles brought out to work or pushed back into work at any one time, making tracking changing numbers in hold unnecessary. Pink rows indicate starting and ending knit rows, orange “stitches” are cast on and bound off in turn, creating a shape extending out from the edge of the knit. Arrows indicate where shapes meet to create forms.knittable_marked

Holding sequence for each shape may be worked begin with carriage on either side; with experience, this may be planned at times to eliminate some of those cut yarn ends that later must be woven in. Getting back to arrows indicating carriage moves, using the center shape for illustration purposes and beginning with CORdirectionif beginning with COL, simply flip the image horizontally
direction flip

labelled_077600_078The yarns used were “throw away acrylics” in white and red. The green is a rayon chenille, which required a looser tension, resulting in the other colors looser than I would want in a piece of the final fabric.
An idea for a larger image in the process of being editedscreenshot_07A possible sequence in knitting if it is to be executed as shown. The arrow marks rows that knit all needles across the width of the piece. The piece segments are numbered to create a starting line for later joining.
numbered1If the goal is knitting as close to a flat circle as possible, eliminating rows will create a smaller center hole as well after the form is completed and seamed. Knitting segments 1-6 should be adequatecircle2Larger pieces ie shawls, adding knit rows without adding stitches can be done by altering #8, 1, 6, 7. The red line indicates changing angles. Blue and green lines below indicate increasing rows knit at the center of shapes as a result. extededKnitting and cast on sequences flow around left purl edge, straight or diagonal edges on a chart such as above may become foundation rows that are later seamed. Sort out your sequence and preferences on smaller swatches, keeping notes as you go. Additional shaping can happen along the edges of any plain knit rows between shapes by increasing or decreasing on either or both sides to create crescent shapes or triangle variants.

Now a quandary if gauge matters: knit stitches are not square. One option is to generate a grid appropriate graph paper. In holding sequences happen in 2-row sequences. Graph paper cells may be created at twice the height desired. Each rectangle will represent a single stitch, 2-row sequence. To create your own knitting graph paper in excel please see post as a place to start. A common knit ratio is 4W X 6H. An editable workbook in 2W X 6H ratio that takes into account the following outline in 2 row holding sequences: landscape2X6. Links for designing knit graph papers online:
http://www.tata-tatao.to/knit/matrix/e-index.html
http://www.theknittingsite.com/knitting-graph-paper/
http://sweaterscapes.com/lcharts3.htm
http://www.thedietdiary.com/knittingfiend/KnittersGraph.html
http://incompetech.com/graphpaper/asymmetric/

Using the 4X6 model reduced to 2X3 this is a sample generated using excel, with borders in a 2X6 ratio, so in execution, every single cell represents one stitch and 2 rows knit. The shape is one from the shape menu in the program, easily resized. The yellow bars show the gradations in holding. These cells are too small for adding text within the program itself. The math can be double-checked: there are 70 stitches, 34 rows in the rectangle at the center of the shape. Holding happens over 5 chart units (10 rows actual knitting) at the top and bottom of the center shape; 70/5 = 14 X5, matching the drawing shape on gridThe accompanying, editable workbook Excel 2008  landscape2X6

So the goal is a shawl or garment, graph paper is becoming impractical to follow? Time to pull out your knit leader. Draw out each wedge or piece full size, number segments breaking sections into knitting sequences, and let the KL guide you. For consistency, if the same shape is to be repeated many times and accuracy matters, it may be worth “air knitting” it while noting shaping as you go, keeping a row by row flow chart. An editable workbook to help track holding patterns, increases, decreases, etc. as a starting point for your own preferences: tracking knit.

Gauge or shape does not matter? time to scrumble it all and be surprised!

 

 

Revisiting miters, spirals, going square, round, and more

There are times in knitting when math becomes a necessity. With online libraries, tools, and fairly intuitive software, drafting angles and shapes is now much easier. I will be teaching a class that includes miters and spirals at a seminar next month, leading me to revisit the topic. Most published pattern instructions will give starting carriage locations, but shapes may be constructed counterclockwise or clockwise depending on preference. With an understanding of how the shapes are formed and stacked, they may in turn be automated (depending on their size and the type of km) using the slip stitch setting. Stitches that are to be knit on each row are programmed as pixels, black squares, or punched holes.

Miter shaping may occur on the side or in the center of each triangular shape; a minimum of 2 knit rows usually occur at designated spots. Adding more knit rows and playing with angles of triangles will create ruffling effects, other angular shapes, pleats, and more. I have returned to using  Mac Numbers, their shapes, and charts to generate most of the images below. Here the colored areas represent knit stitches, white negative (white) spaces stitches in hold. Red lines represent all knit row(s)/ spots for seaming at the top and bottom of sequences. Seaming is easiest when done by joining all knit rows. Stitches are always brought into hold opposite the carriage side and returned to work on the carriage side. In the shaping guide, COL= carriage on the left, COR= carriage on right.

knitting each segment

COR                                   COLwedges

Yellow triangle segment: bring all needles out to hold, and push them back into work on the carriage side at the determined rate until all needles are back in work. Green triangle segment: with all the needles in work, begin to bring stitches into hold opposite the carriage at the determined rate until all the needles are in hold.

If seaming is desired in miter shaping with resulting eyelets at the sides of the triangle, the full wedge is split between the top (yellow segment) and the bottom of the piece (green segment). Knitting always starts with at least one or 2 rows of knitting (depending on whether the finished shape is to have a grafted seam.  For the full wedge: * yellow segment, bring all needles out to hold, and push them back into work on the carriage side at the determined rate until all needles are back in work. Reverse shaping with green segment: with all the needles in work, begin to bring stitches into hold opposite the carriage at the determined rate until all the needles are in hold. End with knit rows (red line) across all stitches*. Repeat from * to * for the desired number of full segments, end at the top with a yellow segment if needed, followed by a knit row(s) (red line) before binding off or seaming.

shaping with resulting eyelets at the sides of the triangle: the final shape COReyelet at sidethe knitting sequence with top/bottom 1/2 triangle segments shown

COR                                   COLfinal at sides

For miter with shaping and resulting eyelets at the center of the triangle: begin with all knit row(s) (red line) at the start. To shape a full wedge: *green segment is worked bringing stitches into hold opposite the carriage at the determined rate until all the needles are in hold. Shaping is next reversed with the yellow segment, pushing needles back at the determined rate until all needles are returned to work. End with all knit rows (red line) *. The sides of this miter are all knit rows, an easier place to seam/ graft joins if needed.

shaping with resulting eyelets at the center of the triangle: the final shape COReyelet at center2the knitting sequence

COR                             COLfinal at centera tiny test shaping at side                              shaping at center

400_661

400_662

In the following images, the red or blue lines indicate seams or joins

segments composing a square shape 
square_seam
adding squares or rectangles to alter the square
squarextra_seamsadding triangular segments: hexagonpentagon_seam expanding it with rectangles, shaping at sides
dodecadon extra_seams2shaping at the centerhexagon extra_seams going 3D: triangular pocket with the point at the center 3dmiter

combining shapes: this one is often seen in tams (hats); bottom shaping is on only one side, and at the top, it occurs on both sides

tam1tam2adding rectangles or squares to alter the shape
tam3

bringing needles out to hold opposite the carriage

Spiral stack 1/ green full triangle: knit row (s), *with all the needles in work begin to bring stitches into hold opposite the carriage at the determined rate until all the needles are in the hold position, end with all knit row(s) (red line).

COR                                   COLspiral stack1 cor

Spiral stack 2yellow full triangle:  knit row (s), *bring all needles out to hold, push them back into work on the carriage side at the determined rate until all needles are back in work, end with all knit row(s) (red line).

COR                                   COLfull stack 2

3D spiral 3Dspiral

If the object is to construct a circular shape, the greater the number of panels, the smoother the outer edge of the piece. Some of the pie-bilities: so many pies

In all instances above the radius and therefore 2 sides of each wedge remain equal in size, and therefore are composed of the same number of stitches. The triangle knit to achieve these shapes are isosceles triangles, where 2 of 3 sides are equal in length and in this case, the number of stitches. The 2 equal sides are usually referred to as legs, the remaining one as the base. The 2 base angles are equal as well. The remaining angle is the vertex one. In knitting, this will be the pivot point for the wedges, the center point of the “pie” shape. In the illustrations below the vertex, angles are marked by blue dots. Its angle value is the first represented in the numbers immediately below each shape, with the other 2 numbers indicating the remaining, equal 2 angles. The sum of all 3 should equal 180 degrees.all angles Taking it to a shape: octagon (half the total # of wedges shown). In colored shapes spiral, stacking equal triangles is shown on left; full triangle, divided into 2 segment shaping for miter on right.octagon col

Oh, yes, the math! The desired shape may be drawn to scale using any number of tools. Wedges may in turn be shaped following the scale drawing on any charting device such as knit-leaders, or stitches and rows required may be calculated on actual full drawing measurements. In knitting, the equal sides (AC, AB) of the triangles are formed by stitches and the height of the triangle (CB) by rows. If the finished size matters, an accurate gauge is required. One approach to calculating the base (CB) is to think of the whole shape as a complete circle, in this case, divided into 8 “pie” wedges, with congruent sides (radius) measuring 10 inches each. To find the circumference of the circle, multiply the diameter (20) inches by pi 3.14 = the total in this case, of 62.8, rounded off to 63. Divide that number by the number of sections (8) = 7.85, rounded off to 8 inches (rows). If the stitch gauge is 6 stitches and 8 rows per inch, each triangle would be 60 stitches wide, and 64 rows high. Holding happens every other row, opposite the carriage, so the total number of rows is divided by 2 = 32 for knitting a spiral. The stitches are distributed along one edge over a total of 64 rows in height. The goal is to reduce the shape down to the next to the last group, followed by two rows knit over all the stitches at the end of each section. This will cause a small hole at the center of each completed pie due to extra rows knit. For a miter 2 triangular shapes are required for each wedge, so holding sequences are recalculated with shaping now occurring over 16 rows for knitting a miter. screenshot_09 color

An online calculator is available to help calculate the number of stitches brought into hold opposite the carriage or into work on the carriage side, sequence preference should be tested on swatches where the gauge is significant

  spiral screenshot_02miter Miter online

Magic formula (X represents times)magic formula

In the photo below I chose to start with all the needles out to hold,  pushing them back into work across the knit for the spiral. For the miter again, I began with all needles in the hold position, pushing back the required needles into work; for the top half of each wedge needles were returned to hold opposite the carriage at the same rate, forming the upper half of the “pie slice”. The swatch is not worked at the same rate as the shapes calculated above. It is shown on its purl side with color changes to highlight the intersections where wedges begin to repeat. The yarns used are random acrylics, in different weights. photo miter spiral

A previous post on short-row knitting with links to other online sources 2013/12/18/holding-stitches-short-rows/.
A category search in my blog roll for miters and spirals will link to blog posts including pies:
2011/06/18/knitting-math-and-pies1/
2011/06/22/back-to-that-pie-a-bit-of-holding/  breaking and mixing up pie wedges:
2014/07/21/miters-and-spirals-visualizing-charting-and-more-3/ .
A garter bar short row trim:
2013/02/28/garter-bar-short-row-trim/.
Charting shapes: using Gimp and Mac Numbers:
2014/07/14/miters-and-spirals-visualizing-charting-and-more-1/
Executable charts and shapes, automating them with slip stitch:
2014/02/24/holding/ short-rows-hand-tech-to-chart-to-automating-with-slip-stitch-1/
2014/02/20/wisteria-cousin-revisited-holding-using-slip-stitch/
2013/01/21/automating-pleating/ 2013/12/28/short-rows_-balls-tams-3d-rounds/  2015/09/07/a-tale-of-2-donuts/
2011/03/29/lace-meets-hold-and-goes-round/
2011/03/29/the-doilies/

Cellular automata charts for knitting, etc.

I have written before on the fact that since my knitting is done primarily on a Brother 910 and a Brother punchcard models, I am ever curious re and exploring ways to produce chart images that will allow me to knit patterns via mylars or punchcards, with an occasional wincrea download to my Passap via an ancient laptop. My eternal wish list to date has included the option to download to a hacked Brother model I already own, or to my Passap, directly from my Mac (presently Mavericks OS). Mathematical knits via hacked or commercial knitting machine use have been explored by some, including Claire Williams  and Fabienne. With the help of online generators, even with a lack of understanding of the math involved, one can produce charts for knitting or other textile applications.

The Wolfram site is a resource for both Mac and Windows platform users who are interested in math, computation, and its visual results. There is a downloadable CDF player that allows exploration of documents and provides for download, CDF format explained, demonstrations projects, search for cellular automata. Below are some samples obtained through browsing the site. In some instances show mesh option will provide a gridded motif, show scale will indicate “stitch counts”
screenshot_28

screenshot_29

then there is this

screenshot_31an isolated segment
screenshot_30the image  in Photoshop (CS3) photoshop no gridas it appears with the program’s self-color-adjusted grid photoshop gridGIMPGIMP_cellular2creating a colored grid grid for easier countsgimp color grid

see previous blogposts on isolating repeats, drawing additional markings, and other uses for GIMP.

A visual guide to  automata “rules”

Weaving drafts as inspiration for other textile techniques

July 2021: since this post was published I have written on using a combination of Mac Numbers and Gimp to modify repeats from punchcard and electronic published sources including:
Numbers and GIMP: online punchcard patterns to electronics
Numbers and GIMP: online punchcard patterns to electronics 2
Numbers to GIMP to create images for electronic download
I am now adding a shorthand version for those with some familiarity with both programs using an online draft from Luminescence to obtain a knitting repeat. Images saved from the site even if drawn in black and white do not convert easily and cleanly to black or even 2 colors indexed images in Gimp, are workable using this combination software method.     

As previously published:
Weaving drafts can be a source of inspiration for other textile mediums as well. Luminescence is an online weaving program developed by Andrew Glassner. There are ample instructions and help files on site with regards to weaving. My first instinct, however, is often to interpret images of all sorts for knits (I abandoned weaving many a year ago). I am sharing some very quick first experiments with the software with that possible intention. The same charts might be used for other counted stitch unit textiles.
The first draft I chose to load from the app’s pull-down menu was called High Seas. The numbers indicate “Fabric Size”, stitch and row counts in knits

120High Seas120

Quoting from the help files: “Show grids: This is another cosmetic choice. Turning this on draws the internal grid lines for all 6 grids (warp pattern, warp colors, weft pattern, weft colors, tie-up, and fabric). These let you easily count the cells, which can make it easier to match a published draft. As with Show threads, this checkbox and its effect are disabled if the Fabric size is 100 or more.” “

“To save an image of the fabric, just right-click on it. You should get a pop-up menu that offers you a few options. One of these will be Save Image As… (or something close to that). Choose that, and you’ll get a standard dialog box that lets you put the image where you want it. Using Firefox on the Mac allows the image to be saved in the standard PNG format, which offers the highest quality. You can change that to JPG or anything else using almost any image editing program.” Safari is problematic with saves, allowing only for a web archive or screen capture.

99 Hi seas99easier to see and/ or count units, clear tiling: 60hig seas 60enough to easily sort out repeats: 30hi seas30

your preferred paint program may be used to draw lines that isolate single “knit” repeats; threading and tie-up sequence repeats are used as guides, making the process fairly straightforward

hi seas30 repeatimagining possible related borders screenshot_51a more complicated draft kiss me you fool 99isolating the much larger repeat kiss me you fool REPEAT

kiss me REPEAT

always double-check tiling prior to knitting for accuracy, any “surprises”, and the possible pattern placement on the knitting machine’s needle bedtile check

got a draft from an online pub? always good to start with a recognizable,  simple design screenshot_01isolate the repeat (GIMP):  crop tool and size control154crop

in this instance, the result is a 154X 154 pixel square image, with 14 X 14 unit desired subdivision, making my grid preferences setting 11 X 11 pixels

200_11_11gridtiling test: looks like a match!tiled_04

line width, colors, etc. may all be set and changed to suit individual needs and preferences. Please note superimposed grid lines are lost when the image is tiled or exported from GIMP, some version of screen grab or snap must be used to capture and save gridded images

an additional draft, the same process

3ae712f7a512a61537a3983aff9d98b2

second sample

screenshot_07

screenshot_08

A bit on the charting: after launching the program and loading an image, the GIMP windows options will become available. I leave my toolbox always active. Tool Options give the opportunity for controlling crop size, pencil line width, etc. As you click on/ select any tool, the options windows will change and offer selections for managing that particular tool

windowscrop croppencil brushpencil

notes from a  previous post on charting for straight-line drawing on Mac: “first select color and pencil tool. Place a pencil dot where you want the line to start. If you press the shift key, a crosshair will appear, press the command key in turn as well for straight-line mode, click where you want the line to end. Consecutive clicks will continue drawing straight lines that originate from the end of the last line. Pressing both the shift and the command one at once after the initial pencil mark will call up the color picker and require a color selection and an “OK”

QR codes for knitting (2) or other textile techniques: “happy holidays” a few ways

I reviewed, edited, and added information to an earlier blog post on QR codes and knitting earlier today. The results from the same steps in processing the generated images may be applied to any fiber technique which results from using counted, single units.  In light of the coming season, I thought I would offer some “happy holidays” variants. In assembling them, I found an additional free online generator that allows for far more control on output code pixel dimensions than others I have previously experimented with.

Aztec (smallest unit possible 100 pixels square)QRA100onto the morovia website the “blanket” size QR150 getting back to knittable, less than punchcard width screenshot_45QR21a less than 50 wide repeat for mylar, and surprise!screenshot_53QR49

Working with generated mazes: GIMP charting 2

My previous posts on using gimp to generate charts and images suitable for knitting: 1, 2, 3, 4. I am working in Mac OS 10.10 now, so there may be some variations in results from earlier OS or for Windows versions users.

the edited repeat from the previous postcropped

It is possible to knit this design in DBJ with the same separation as for knitting it as a maze, both are 2 color slip stitch patterns, the maze separation is less laborious. To process for use in DBJ, the image needs initially to be doubled in length. The easiest way to achieve this is to create a new gimp document, several times the size of the repeat, select and copy the corrected repeat, in turn pasting it in the new, larger canvas. I used 40 by 60; color 1 is red, color 2, white, most of my charting is done at 1,000 times magnification

copy and paste

drawing a vertical line in nonpertinent color to border areas having several rows with no second color present, as seen below, may help define end or start of selections when attempting to invert colors. Color invert may be achieved in RGB mode, not indexed. Below the inversion occurs on “even-numbered” every other row. The program in my OS now showed the previously red squares in blue, the alternate squares in black.

screenshot_16
After using color invert, nonpertinent color (blue) may be erased (using the pencil tool, each square on the grid is a single-pixel) as well as those yellow “border” squares. In the image below the black squares on the left represent all holes that will be punched out in the card. One drawback of this program, because of the scale using single pixels, is that no text to include row numbers etc. is possible. The final repeat is 10S X 44 R.
screenshot_24_DBJ

If one wants to avoid using double length in the automated machine settings, the image of holes to be punched may be doubled in length. To do so color mode needs to be changed to indexed (4 colors) to retain image clarity.screenshot_19

screenshot_20X2

 fabric knit in DBJ, long stitch on left, bird’s eye backing on right 500_2355

Maze and mosaic knitting, my previous posts: drawing motifs, from design to pattern (Excel), from pre-punched cards,  and references and pubs. The repeat worked out for slip stitch and edited down to 2 colors. Again, the black squares on the left represent all holes that will be punched out in the card.

screenshot_21-mazeTo further mark the repeats in blocks, making charts easier to follow in absence of numbers, the subject of drawing straight lines comes up. Most of the online tutorials for using gimp are for its Windows version. The pencil tool may be used. Normally, tool options are displayed in a window attached under the Toolbox as soon as you activate a tool. If they are not (Mac), you can access them from the image menu bar through Windows → Dockable Windows → Tool Options, which opens the option window of the selected tool. In theory “Ctrl: this key changes the pencil to a Color PickerShift: This key places the pencil tool into straight line mode. Holding Shift while clicking Button 1 will generate a straight line. Consecutive clicks will continue drawing straight lines that originate from the end of the last line.” On my Mac, I worked out this method: first select color and pencil tool. Place a pencil dot where you want the line to start. If you press the shift key, a crosshair will appear, press the command key in turn as well for straight-line mode, click where you want the line to end. Consecutive clicks will continue drawing straight lines that originate from the end of the last line. Pressing both the shift and the command one at once after the initial pencil mark will call up the color picker and require a color selection and an OK.

windows: dockable itemswindows_dockable dialogues

gimp lines

separation for maze knitting 10S X 22R, elongate X2
maze_needsX2 borderknit as a single bed slip stitch, changing colors every 2 rows screenshot_01as dbj 500_2361

The dropped stitches were a problem when using the ribber on one of my two 910s, that adventure can be the topic for another post.

Working with generated mazes: GIMP charting 1

Laura Kroegler shares an online generator for “mosaics”unikatissima offers them for mazes and cellular automata. Representations of such patterns have cropped up in relation to hacked knitting machines and electronic downloads such as those seen in the Claire Williams blog, and in published information by Fabienne, who of late also has a Kickstarter project. Such patterns may be charted for hand knitting or for use on punch card machines once the size of the repeat is taken into consideration. Mirroring either vertically or horizontally can make the image far more interesting, but that has to be a consideration in planning if the stitch repeat has a constraint of a 24 stitch limit. A beginning unit 6 stitches wide will allow for the horizontal mirror to be repeated twice on the punchcard. The minimum punchcard length is 36 rows. The maximum scroll down to height in the Kroegler generator is 20, so for the least punching, an 18-row max would “fit”. The caveat here is that if the generated pattern is to be knit as DBJ or as a single bed slip stitch, those 18 rows need to be color separated accordingly. For the design to be charted out easily, it may be saved, and then in turn gridded in Photoshop or Gimp with the grid matching stitch size in the generated pattern preview (ie below note X and Y values are 5 X 5, so grid used would be 5 X 5 pixels as well).
After reviewing the tiled generated pattern, the image may be carefully captured from the screen and saved. I worked with an 8-stitch repeat for my tests. Below are screen grabs of the resulting patterns after some of the various options offered were tried. Mirroring this repeat horizontally makes it too wide for a punch card (16 X 2=32).

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using a 5X5 grid after capturing a portion of another generated image, using a simple 8X8 repeat, outlining single repeats, thinking punchcard machinescreenshot_34

checking the result tiled to predict possible knit “look”screenshot_28

If working with a 6 stitch repeat, horizontal mirroring becomes possible for punchcard machines, perhaps making things more interesting; the program can generate a single repeat as a png, and punching holes is a drag so maybe length remains on the short side in anticipation of the punching holes and color separating for knitting the motif as either DBJ or single bed slip stitch, so here goes: having the generated image produced so each stitch and row is represented by a single pixel allows one to work within any program preset to superimpose a 1X1 grid:screenshot_07

screenshot_08my saved png, supposedly for an 8X12 repeat newgridded in gimp, revealed as  11W X 23 Hscreenshot_09

testing tiling: oops!screenshot_10

the trimmed repeat, eliminating double lines, 10 St W X 22 Rows Hcropped

tiled, looking closer to original, cropped_tiledand then there is the knitting of it if one chooses to do so as single bed  “floatless fair isle” as opposed to double bed dbj

For the latest version of gimp for Mac OS, version history may be found at the gimp website, for Mac Yosemite and Mavericks’ latest information on version 2.8.14.

2020: latest Gimp update for Mac, my Mac OS: Mojave 10.14.6, now swatch testing on a 930 with image2track cable and software, which allows for easy use of larger repeats. Newer thoughts and observations: the maze can be generated using only black and white. If all boxes for options are checked as seen below, there will be shifts in the overall design. A small, working BMP may be saved for download, but only part of the overall repeat will be selected by the generator. Quitting the generator, and opening it once more entering the same options will generate a new image, so saving and naming each is a good habit to form the BMP in Gimp, explored in two renditions, eliminating double lines The proof of concept swatch for the version on the right and knit in tuck stitch the double-length BMP ready for knitting,  14X68

One more, using different option selections the BMP in Gimp, explored in two renditions, eliminating double lines My latest process for the required color separation

 

A block lace pattern on the KM 1

A friend recently posted a forum query on a published pattern that has led to my exploring another hand to machine knit transfer lace. The “flemish block lace” design from the second treasury of knitting patterns by Barbara Walker, p. 270 seemed to be the lace pattern motif used. Here is a partial detail from the fabric that began the discussion

try to copy

Below is a chart for the Walker repeat produced with Intwined. The repeat is a multiple of 14 + 3 border stitches, the first row is purl, but I could not enter an all purl for row one and not have the remaining symbols altered by the program, which assumes in lace the first row is knitflemish block lacethe program’s generated HK instructions for one repeat plus 3 border stitches screenshot_04In attempting the machine knit version I chose to use the HK chart for my transfers as it stood, the directions of the transfers being mirrored vertically did not matter to me.

This design has “chains” traveling along some of the edges of the diagonal shapes. A lot of moving stitches in groups of 2 or 3 is required to achieve the look. It may be possible to achieve the fabric knitting with the aid of a lace carriage,  but planning the punchcard or electronic repeat and correcting any dropped stitches pose special challenges. My first samples were knit on the bulky KM, working in width of the 17 sts illustrated above.

I began to test transfers by moving stitches every row. Interesting things happen when single rows are knit on the machine as opposed to the traditional 2 in multiple transfer lace, as well as the resulting shape being half the number of rows long. The eyelet yarn lies single, without the twist usually seen, and begins to look more like ladders (see previous posts on zig zag ladder lace).

knit sideIMG_1938purl sideIMG_1939

with 2 knit rows between transfers (the missing eyelet in marked spot is due to operator error) the familiar look of multiple transfer lace appears1940

IMG_1941

below the swatch image is flipped horizontally for a different perspective, approaching the original hand-knit inspiration1940looking at charting differently, back to Excel: single repeat

BW repeat_12

                    checking alignment, adding border stitches4 repeatbw                                                adding colorcolored repeat

moves                    checking alignment, adding border stitches4 repeat color2The next consideration might be how to make executing the pattern easier on a standard machine. Needle pre-selection may be used to guide hand transfers. Working out the electronic repeat, represented by black squares:isolating mylar rep                                         the transfer directions

transfers                        the chart in repeat , including bordersmylarx4_borderThere is no transfer on row 3 of the repeat next to border on the chart left, it is omitted in the bottom of the chart, shown on the top half. End needle selection is canceled throughout. The resulting test swatch, one operator error transfer missing on mid left:

                                                    knit side 500_1945                                                     purl side500_1944One of the issues I encountered during the initial tests was that of occasional needles “sneaking”/ dropping back on the machine, so ladders rather than eyelets were formed. The needle retainer bar is old, and I like to work lace with the ribber off and a tilted main bed, explaining the possible cause.