Machine knitting (MK) – Page 28

Thread lace and punchcard knit carriage use on Brother 910_1

Yes, the 910 has no thread lace setting. I happen to also own a punchcard machine model # 892E (no idea why Brother chose to add the E to a punchcard model name). I remembered eons ago reading about someone on an Australian list actually getting a punchcard model carriage to work on an electronic machine. It is good to beware that not all carriages may be interchanged between different models, especially if the latter were manufactured several years apart.

The magnet on the back of the electronic carriage is what trips the reader in the 910. With the 892 and 910 carriages side by side, I marked the approximate spot I wished the magnet to be. It is presently in place with cellophane tape for my tests. I believe it to be a “rare earth magnet”, 12 mm in diameter, part of a jewelry piece from days gone by, with a deep attraction to all KM metal parts.

the first location was too high, the pattern did not read properly what turned out to be a much better spot a random mylar repeat the resulting fabric, on both purl and knit sides

I used two cotton yarns, with a slight difference in weight. With the exception of when knitting transfer lace, the first instinct may be to use the color reverse option when the mylar repeats show lots of “white squares”. However, in this type of fabric blank squares knit both yarns; black squares or punched holes knit only the thinner yarn, while the heavier one floats behind it. The KC tension used needs to accommodate both yarns easily knitting together. When only the thin yarn knits on selected needles, the stitches formed will actually be larger in size than those where both yarns knit together, giving the “illusion” of holes.

This fabric was also at times referred to as punch lace. It is only possible in Brother machines that have 2 cam buttons in the center position, both center buttons under the MC/L mark are depressed. The punched holes/ black squares in mylar select needles that will knit in the fine yarn only. If you are using a very fine yarn for the second yarn, you may have to wrap it twice around the dial on the mast tension unit to control its feeding. Better edges are produced by canceling end needle selection or manually pushing any selected end needles back to B. If KCII is an option on later electronic models, some of the work is done for you. End needle selection may also happen as part of the design repeat, so in those instances, unless you are happy with the thin yarn only knitting on the very edge of the fabric, those needles need pushing back to B by hand as well.

BTW: end needle selection must also be canceled whenever patterning with needles out of work is used, or needles on both sides of out of work ones will produce knit stitches regardless of programmed pattern.

If a contrasting color is used as the thin yarn in the B feeder, the results may be seen below. Note: the colors appear reversed to their position in feeders, so A (thick) color is seen more on the purl side, the B (thin) is more evident on the knit side of the fabric. The top of the swatch shows the result when blank rows are programmed into the reader. Sometimes this setting is used as an alternative to replacing the standard A/B feeder with the machine’s plating feeder (if available for your model km). Reversing yarn position can produce some interesting stripes

not all A/B yarn feeders are created equal

I have always found the extra B gate on left more a nuisance than a necessity, particularly if the B yarn needs frequent changing.

Another unconventional use for this setting to produce “pretend cables”

It is possible to knit thread lace with the plaiting feeder in place on the single bed as well. The effect approaches glitched versions of the pattern, Stitchworld #407. This is a quick hack to keep the front yarn from slipping out of the yarn feeder The blue and white yarns are equal in weight, the orange replaced it and is thinner

Picot cast on for every needle rib

Depending on the sort of rib, the beds need to be aligned in most instances so that the needles on opposing beds line up between each other. For this ribber cast on the beds start at full pitch, as you would for EON knitting. Every other needle is brought in to work. A first “zigzag” row is created at the tightest tension possible. On the second row, the alternative needles need to be worked. On Passap E6000 BX, LX with pushers under new needles only will help do the job. On Japanese machines: bring the new needles out to hold, set both carriages to slip. This will result in only those “new” needles knitting on the next pass. The outcome will be one zigzag crossing over the other (red over blue in the photo). Prior to the third knit row, reset the carriages or locks for circular settings (CX/CX, opposite part buttons). Because all stitches will be knitting on each bed, loosen the tension to about three-quarters of the rib stitch size, knit two rows, change racking handle/lever and needle positions to half pitch at their completion. Adjust tension to desired rib stitch size, knit a closing “zigzag” all knit row at tension used for the remaining knit, and proceed in rib
The method may be used both for every needle and for every other needle rib.
The configurations for each, colors are in reverse order from photos that follow

first zigzag rowsecond zigzag row (contrast color for illustration purposes)hang comb, knit 2 circular rows change racking position and needles alignment change tension, continue in rib, knitting all sts both beds detail close up

Racked ribber cast on and rib configuration tips

This cast-on (on any ribber) is capable of giving a softer, looser start and is good for fabrics that stretch. It is described in most machine knitting manuals.
When experimenting, check the alignment of needles physically before proceeding for knitting ribs on all needles. In Brother machines, the racking grip handle is used in creating “racking patterns”. By turning the grip handle the ribber bed is moved to the right or to the left. The racking position is indicated on the racking indicator. Usually casting on is begun with the indicator in the center position, #5. As indicator numbers rise the ribber moves to the left, and as they decrease the ribber moves to the right. The two cursors can be moved and set to use as an index of the racking range. I prefer to track racking positions in other ways ie. with punchcard markings when possible. The arrows L and R indicate the racking movement and will change position after each handle turn reversing direction is completed. The pitch is set to accommodate rib configurations. In the P position needles on each bed “plain and purl” are directly opposite each other and in a collision course. If EON (every other needle) on each bed is in use, then this position is used to center needles on opposite beds between each other. In position H the ribber needles are centered between two main bed needles.
If observing a suggested needle rule, set up needles using it.
Rack one full number to put the needles out of the rule, and knit one row at about 2 numbers tighter than the final setting.
Hang the comb and wights, and rack again to the original position. Add any edge stitches that may be needed for the specific knit fabric. Knit one row across stitches using the final tension setting.
For every needle rib cast on in my sample I began with the racking indicator on 6, COR, knit zigzag row to Left. Note: at the start of the process, on the left side, the first needle is in work on the top bed. The ribber is then racked to position 7. The first needle on the left is now in work on the ribber. A row is knit from left to the right. The ribber is then racked back to its original position (6). The first needle on the left will once again be on the top bed, and the first needle on the ribber to its right Continue in the planned rib.
Often manuals give suggestions as to the “needle rule” for each type of rib. The sequence below is knit on a Passap. It, in theory, would produce a 2X1 “industrial rib that could transition to every needle or main bed knitting without any holes at the transition point. Note here there is a needle in work between each pair of needles on the opposing bed.

“zigzag” row, normal needle position: work slowly, make certain all needles have picked up yarn
hang comb: the first needle is in work on the back bed on the far left rack one full turn to the right: the first needle in work on the front bed is now on the far leftknit one row rack back to the original position, and continue plain rib There are sources online including videos that recommend circular rows at this point, they are actually unnecessary. The other recommendation made by many after any ribber cast-on is for 3 circular rows. There is no need for the third circular row. It will actually create a visible line across one side of the rib, that is noticeable, and may not be wanted if it is on the “public” side of the finished garment.
To fill in potential holes produced when empty needles are brought back into work, bring all empty needles into work, and tuck one row across both beds, making certain loops are formed on each needle knit 2 rows circular slowly, some needles hold 3 loops of yarn, switch to ENR rib
the result at rest
rib stretchedGoing for a rib with more of a 2X2 look: set up needles for rib pattern, there are still 2 needles in work, one not, on each bed. The empty needle space is now at the center of each pair of needles on the opposite bed

rack one full turn to the right, and knit one row hang comb and weights rack back again to “needle rule” position Knit one row at final setting, proceed for ribat the top of the rib knit 2 rows circular, proceed on EN rib

tension adjustments may make a big difference, my samples have been knit at the same tension throughout, and single-ply throughout

the first rib at rest stretched Both instances produce a reversible rib
Some experimenting is required to achieve cast-on rows in the rib that is not too loose or too tight. In this instance there has to be enough slack in the loops so that there is room for racking one full turn, too much will leave loops. Loops created by cast-ons with deliberately large stitch sizes may, in turn, be chained off with a latch tool. The stretch factor and weight of the resulting rib also need to be in balance with the remaining knit fabric. If “improvising” it is always advisable to keep good notes. Most publications and how-tos are really guidelines, starting points for investigating what may be the best method to use in any one piece.

A variation: a racking cast on at a large stitch size can be chained with a latch tool after the work is off the machine to make an edge that nearly matches a chained-off bind-off. It is useful, especially in rib tuck fabrics.
Set up needles in the needle rule and rack out of the needle rule.
Knit one row at a large stitch size, moving slowly to the opposite side. Testing will determine the tension the specific machine will tolerate with the yarn being used.
Check that all needles have picked up loops.
Hang the comb and weights and rack back to the needle rule.
When off the machine, use the method described in the post Ribber cast ons: breaking the “rules”

Transitions in ribbing from EON to FNR fabrics

It is always helpful to use a familiar yarn when testing techniques and to have some idea what baseline tensions produce each desired fabric before combining fabric types, structures, and techniques. This will ensure that the knit result will be both manageable to produce, and will match your desired concept.
Any time an empty needle is brought in to work, the first knit pass will create a loop on the empty needle; the second pass will form a full stitch, resulting in a hole. This is seen in lace transfers or when bringing empty needles into work closes single ladder spaces.
Use garment yarn double thickness in the EON needle rib if the aim is to produce DBJ, which will yield a different thickness knit. Test for other fabrics ie patterned English rib, etc. Swatching is worth the effort, avoids producing whole pieces where combined results are disappointing.

EON rib set up for your brand machine
Knit 20+ rows
End and begin the test with COR; trim off one yarn end, to be woven in using your favorite method
Racking handle at half pitch
Bring all needles into work both beds
Observe the needle rule appropriate for your double bed fabric Set both carriages or locks to tuck
Reduce stitch size tensions by one whole number, knit one row, which will produce a “zigzag” across all needles, with a loop on each needle, both beds
Set both carriages to knit circular; this will be a slipstitch, tension may need to be loosened by one number to accommodate the added yarn, knit 2 or 4 rows
Set both carriages to knit, enlarge stitch size one or 2 numbers if needed, knit one row
Proceed as required for pattern

Depending on which direction your first row of “garment” fabric needs to be selected if using a color changer, planning for that may affect which side of the machine needs to be your final location before knitting the first row of pattern.

The swatches below illustrate the transitions, are in their “just off the machine” state. I used the same tension throughout. The EOR rib was knit single strand, the resulting difference in width is easily seen, though the density difference is obviously not observable in a photo. The yarn used is one of my “throw-away” acrylic/ wool blends.

side 1 “holes”
side 1 “no holes”side 2 “holes”side 2 “no holes”

Unconventional uses for punchcards 1: tracking racking positions in ribbed fabric

In a long-ago post I shared the punchcard image below. The card is used double length throughout. Cast on in your favorite method. “Memorize” the first row of pattern, set card to advance EOR, set KC to tuck in both directions, set RC (ribber carriage) for normal knitting throughout. This is a racked pattern. The numbers to the right of the card are for the racking position on each visible row (takes into consideration your eyes can view card 7 rows above card reader teeth). There are only 2 positions in this card as written, 4 and 5, so the results are vertical columns in a textured rib

the corresponding swatch, both sides are shown

The tracking for the racking sequencing may be created for any punchcard, whether punched holes are required in the card for patterning or not. The image below is taken from the Brother Ribber Techniques Book. If KC is used, no holes are punched, and the carriage is set to plain knit, though the card advances, all needles knit. End needle selection is not a factor.

the racking handle movement repeat isolated

In the card, for use on Brother, the first row of the repeat with the machine on racking position 10 would be placed on row one pre-marked position found on stock brother blank cards. Always check markings for your machine. I have a roll purchased for Brother kms specifically that actually are stamped for Studio, with # 1 two rows below where it should be on right. No holes need to be punched in this instance. Needles are brought into work and filled as illustrated on the ribber book page. Knit one row across stitches with the card set to advance normally. In this instance marking row numbers in preferred colors will indicate when the racking sequence changes direction. Green rows rack to left, orange to right. The racking handle position repeat is 20 rows high (shown on left), a minimum of 36 rows for the card to roll properly) is met by repeating it twice, and the “motif” is broken up to accommodate the fact that the reader is working on 7 rows below the row number visible on the machine exterior. Rows 34 and 35 would become the 2 every square punched rows always placed at the top of pattern cards. The blue numbers on right reflect the racking handle position for that row before the next row is knit. They can be marked on any blank square if the card is blank, or alongside existing row numbers as seen in the punchcard for the checkered swatch. It is helpful to have consistent habits if one needs to stop for any length of time ie. always knit row, rack to position or stop after knitting, rack upon return.

The machine can be set for double length for racking after every 2 rows knit.

Using the method for cables and crossed stitches (3 posts)

Lace cards on 260 bulky PDF

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 post

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

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.

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.

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

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

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.

To 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 â†’ Dockable Windows â†’ Tool Options, which opens the option window of the selected tool. In theory “Ctrl: this key changes the pencil to a Color Picker. Shift: 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 items

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

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).

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

checking the result tiled to predict possible knit “look”

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:

my saved png, supposedly for an 8X12 repeat gridded in gimp, revealed as 11W X 23 H

testing tiling: oops!

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

tiled, looking closer to original, and 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 tale of 2 donuts

Gauge swatches are often the bane of many a machine knitter, as are math calculations. I have recently come across several instructions for hand knit donuts, embellished in a variety of ways, and was curious about turning the knit sideways in order to create a machine knit version. Yes, there are formulas for creating such shapes, but once in a while “winging it” on small projects may provide an easily achieved, workable result.

I began with the formula: 30 stitches in width, divided by 3 = 10; 5 stitches used to create held, narrowed bands at both sides, the 20 remaining stitches knitting throughout the length of the piece, for 20 wedges/ repeats.

The method: cast on with waste yarn over 30 stitches, knit one row in “donut” yarn; set the machine for hold; bring 3 needles opposite the carriage into hold, knit to the opposite side, repeat two times: bring 2 needles opposite the carriage into hold, knit to the opposite side, repeat two times; bring 5 needles into work opposite the carriage, knit across to the other side, repeat twice. At this point, all stitches will have been knit, begin sequence over again. This chart reflects 3 repeats, 30 stitches by 6 rows. Knitting begins on the left, and holding stitches begin with carriage on the right:

A single repeat may be programmed into an electronic machine, knit with the carriage set to slip throughout, and with end-needle selection canceled (covered in previous posts).

When I taught courses in machine knitting, the first “garment” made after several weeks of swatching and learning the various stitches, was a “baby hat with earflaps”, with the proviso that the same directions had to be used by everyone in the class for stitches and rows, but each student was free to select yarn and stitch type. This often became the first lesson in the importance of gauge, with results varying in size from mini doll size “hats” to gigantic ones. For my donut versions, I used the same directions. The striped one is produced with a random sock yarn that gave my machine fits at tension 8, and produced a very tight fabric; the yellow is from a good quality 2/8 wool at the same tension, resulting in a much looser knit, and a much larger final product. I was casual about seaming the 2 open ends of seaming the knit together on the machine by simply using a latch tool bind off, an invisible seam could be created by grafting with Kitchener stitch. I did a bit of stuffing as I went along in seaming the lengthwise portion of the piece in the second donut, as opposed to leaving a smaller opening in the first, making the process easier, and I paid more attention to seaming of the side “tube” stitches. Once again, it is obvious that changing the material may change the size of the final product significantly, making those tension square calculations important for any predictable results in sizing.

donuts

Brother KMs: punchcards and their use

I have recently become involved in a year-long project at UMass Lowell and will share details as they develop. Most of my blog posts are written for those who already have a basic knowledge of techniques. Since I may soon be involved in teaching basics to non-knitters on Brother models, I am in the process of getting some informational notes together and thought I would share them here as well.

The first 24-stitch punchcard readers appeared in the mid-1970s. The reader sits on the far right of the knitting machine; it actually reads 7 rows below the row visible at eye level on the machine exterior, establishing a numerical relationship between motif repeat design rows and those viewed

cards may be purchased pre-punched (1), as individual 24X60 blanks, or in continuous rolls (2); a card punch (3) is used to punch holes rows: for any card to roll in a continuous pattern vertically (rows), cards are joined to form a roll. A minimum of 36 punched rows is required. Snaps are used to join the beginning and end of a single card or multiple cards sequentially. There are excellent, free downloads now for pattern books including designs for all varieties of MK fabrics. It is possible to have the machine knit rows in double-length ‘automatically’, it is the only built-in possible alteration of the pattern. Masking or cello tape is a temporary solution to testing repeat variants or to repair errors (both sides of the card), otherwise re punching of the whole card is required for any changes

stitches: the maximum repeat width (stitches) is 24, 24 squares, one line on the card. On Brother KMs the repeat is centered with 12 stitches on either side of the center “0” marking (2). The needle position indicator is marked in thick and thin lines (1), each representing one whole design row repeated in width. If one wishes to shift motifs on the knit piece, invisibly join designs, etc., the only alternative is to determine the width and needle locations required and then to shift the knitting position on the bed by repeat or its segments.

needle tape

motifs must fit together within the 24 stitch limit, so individually they must be factors of that number: 1,2,3,4,6,8,12,24 (height calculations must have a minimum of 36 rows punched, so different math is involved there as well)

anatomy of a card: all squares are punched top and bottom for 2 rows each. They are not part of the design and overlap the first and last pairs of rows respectively when snaps are in place. Hence, the design motif remains continuous.

Any image will be reversed on the knit side, of note in planning lettering or motifs where direction matters. With the change knob set to KC or SM punched holes in the card will preselect needles to the B position, unpunched holes will leave them in the B position. A 24-stitch repeat with needle selection for row 1 (card is from a set supplied by Brother with machine purchases).

Markings as they appear on the needle bed: The extra markings on the needle tape in my machine are water-soluble ink marks from one of my projects to help track techniques.
End needle selection: The card in place in the reader: line up the two pairs of holes at the right edge and clip those together with a card clip, do the same on the left.
The numbers on the right side of the card should be continuous. If there is a gap in the numbers, the back piece has been put in on top of the front one, and if fed in this manner the card may jam. Unsnap and join the card properly to knit patterns in a continuous loop.
Preparing for pattern knitting from a Brother manual: The elongated triangle is used to knit each punched row twice.

Working with motifs in networks with 24 stitch limit: checkerboard is formed with the isolated motif, originally measures 8 stitches by 16 rows; repeats in the charts below are outlined in green, and colored squares correspond to holes punched in the card

adding simple patterns staggering horizontally for brick repeat (now too wide for the card) staggering vertically for half drop repeat, (row adjustment)checkerboard begun with an 8 stitch repeat half drop: repeat begins to change in width brick triangle added larger repeat variations

Electronic machines are able to use punchcard designs as well. Only one pattern repeat needs to be programmed. Factors of available maximum width in stitch repeats depending on machine brand:

24: 1, 2, 3, 4, 6, 8, 12 30: 1, 2, 3, 5, 6, 10, 15 40:1, 2, 4, 5, 8, 10, 20 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30

More to ponder: knit stitches are not square, they are rectangular, so representational knits, no matter the size, require some mathematical adjustments to retain their aspect ratio. An interesting illustration of this is seen in attempts to knit a circle.
Common ratios for knitting are 4:5, and 2:3 (height to width) with stitches usually wider than tall.
Gauge is the stitch-to-row ratio that allows one to calculate height and width for finished knit pieces, it is the basis for creating and shaping the items which in turn may then be assembled into garments or size-specific end products.
The Diophantine equation (referred to in knitting as the “magic formula”) may be used to calculate increases, decreases, and shaping. There are many excellent how-tos and calculators to aid in the process. The old Brother accessory calcuknit and its emulator took some of the “work” out of the process and were later replaced by similar functions in consoles or software. Sometimes charting out the shapes based on such calculations was referred to as “ragu charting”.

A postscript: punchcard machines continued to evolve and became easier to operate over the years. Those markings on the end of the needle bed did not always skip the letter C. The KH 800, 1971-72 which preceded 24 st punchcard models, had several more needle positions, including the now-missing C

An illustration of one of its fair isle cards and accompanying instructions for the settings

Machine knit hems 1

I was recently asked about hem-making techniques, here are copies of some of my handouts in the intro to knitting classes on the topic.
A good illustration from an early model Brother manual illustrates the transitions in tensions and their use, settings will of course depend on the yarn being used