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.

Zig Zag ladder lace 2: hand knit

I work primarily on a Mac, Maverick OS. Intwined software has had some issues operating in Mac consistently in the latest OS versions. The chart to text can be a really nice feature. The repeat, drawn here with symbols in the built in stitch library, shows errors in row 2 and 4 of the accompanying text.single repeatmistakes single

On a larger canvas, the original repeat is outlined below in red. Yellow indicates knit border stitches around ladder lace pattern repeats; row 22 is absent from the text that accompanied the larger chart.

full chart

full directionsSkitch is a free program, available for both Mac and Windows, that allows the opportunity for of highlighting or further editing a graphic. Taking the information above, here I added numbers that reflect actual repeat rows, used the arrows as a reminder of change in direction of zig zag, and the red outlines vs green indicate changes in type of knit decrease. It is easy to add as much or as little additional information as one feels helpful. There are controls for line thickness, shadows, etc.

actual repeat

JKnit is another program that may be of interest to anyone who prefers to track their projects, progress, and much more on their iPad or iPhone. The Lite version is free for both devices.

Below is an image of the hand knit swatch, unblocked, which appears three dimensional; transfer  lace has traditionally been blocked to lie flat and maximize eyelets. The fabric may be very interesting without blocking. If a slightly thicker yarn with “memory” is used, the piece may be steamed lightly, and the pattern segments will tend to shift in and out from the flat surface, whether the piece is hand or machine knit.IMG_1901

The yarn used was a “throw away” swatch testing acrylic. A very quick, light press and a bit of steam and here it is in the resulting killed, forever flattened version

IMG_1905  and it reverse side

IMG_1906

Visualizing knit cables in color_ Excel

In the past, I have suggested methods for working in Excel and provided links to excellent material shared by others online. Of late I became interested in using the program to produce simple color graphics for cable illustrations. It is helpful to have prior experience in using Excel for knit charting. This is not intended as a complete tutorial. I am providing a document for experimentation. I would suggest copying and pasting the individual shapes to a different part of the document before playing with color changes, resizing, etc. This may be done within the chart in progress, or separately, and then copying /pasting or moving the final result into place.

The resulting charts may be used in both hand and machine knitting. My illustrations here are intended for machine knits, so they do not combine purls and knits on their ground. Images represent single side view: as they would appear on the knit side facing hand knitters, or the purl side facing the machine knitter. Stitch, row marking, and text may be added as wanted.

Chosen from the view menu, the object palette allows the selection of built-in available shapes. Once a shape is drawn into the workbook, the formatting palette allows access to image size, rotation (including flipping both vertically and horizontally, and alignment (moving front to back and reverse).

object_format_palette

Color fill – unless standard colors are chosen, there will be issues matching colors combined when using with bucket fill from the toolbar to add color to cell(s)

toolbar

toolbar

formatting options: fill

shape_fill

shape border: line, color (or not)

shape_line

one of the ways to access size, rotation, aspect ratio

shape_size

sample results

screenshot_33

an in-progress document for experimentation: blog_color_cables. Adjust zoom to personal preference for either viewing or working, grab portions of working screen for images of sections of the workbook to save, or save as, and explore PDF options.

More on charting, foreign symbols, and cables

This topic has come up as part of previous posts. I recently reviewed links and thought I would re-group them a bit differently here, adding some new.  Please click on continue reading to have the list appear as active links if they do not immediately do so in your browser. The latest additions are at the post bottom.

http://www.stitchmastery.com

https://www.myfonts.com/fonts/adriprints/stitchin-knit/

https://www.softbyte.co.uk/designaknit.htm

http://www.envisioknit.com/features/

https://stitch-maps.com/about/key/

pixelated lettering

http://www.fontpalace.com/font-download/Notice+3+Std/

http://www.fonts2u.com/munro-small.font

http://www.fontspace.com/ten-by-twenty/munro

letters in knit stitches

http://www.fonts2u.com/knitfonta.font

http://www.fonts2u.com/knitfontb.font

http://www.fontspace.com/honey-and-death/knitfont

care labels

http://www.fontpalace.com/font-download/Notice+3+Std/

I have been trying to navigate Mac Numbers again, but in playing at my own latest charting with software after the Yosemite update, I find I am drifting back to using Excel once more as my primary “graph paper”. Charts published in foreign languages and magazines, and particularly those in Russian (where the same symbols appear to have different functions depending on the publisher) provide challenges in translating for using charts provided in hand or machine knitting.

Some sources from/for different countries that may help with interpretations:

http://www.knittingfool.com/Reference/KF_Symbols.aspx

http://www.garnstudio.com/glossary.php?langf=it&langt=en

Anna Burda magazine symbols PDF includes HK how-to illustrations:  ab2  2/1/15

 Verena chart from older pubs easily found on Pinterest

A partial volume of an out of print book on Japanese symbols 

4/24/15: Sconcho is a GUI for creating knitting charts that come with a built-in stitch library. A manual is available. Custom stitch symbols may be created in Inkscape to form personal vector shapes.  X11 may be required to run Inkscape on your computer as well, all are free.

6/14/2020 a free for iPhone and iPad app Knitting Chart  also includes crochet symbols

 

 

Knit charting in Mac Yosemite; visualizing knit cables

Some previous blog posts on topic

2013/01/03/chain-cable-hk-experiment/

2013/02/07/hand-to-machine-symbols-4-cables/

2014/07/07/a-bit-of-cables-and-lace-charting-hk-to-mk/

2012/01/28/a-few-to-try/

Updating to Yosemite has provided some interesting issues for me. The first was Safari pretty much becoming unusable. It took a Mac expert and a chunk of his time to resolve the issue. There are still hiccups in other apps. I thought I would revisit some of the methods I have mentioned as usable in knitting charting on Mac via a bit of discussion on cables and visualizing them.

Intwined began having issues in Macs with any custom-built stitch libraries in mid-year 2013. The last update offered and installed in September 2013 has continued to have some functionality issues in later Mac OS versions (Mavericks, and now Yosemite), stripped of any custom stitches built previously, not allowing for their addition. It has become only an occasional go-to for me now. Charts created in the program are easily recognizable.

Inkscape (recommended for creating icons for use in Intwined, a free vector program) will require XQuartz update for Yosemite. Their previous release allowed for its use in Mavericks.

http://xquartz.macosforge.org/landing/

http://xquartz.macosforge.org/trac/wiki/X112.7.8

http://sourceforge.net/projects/sconcho/ is an open-source, free charting software with built-in stitch libraries that may meet many of your charting needs in any OS version

Excel behaves as in the past (my version: Office 08)

Mac Number has once again deleted some familiar menu options, added new ones. My primary font for knit symbols is no longer available, and some of my accumulated knit symbols from other font sources continue to work on the mac, but are unsupported if using the iPad version of the program, where they appear as the original  keyboard strokes, rather than the assigned symbols

GIMP 2.8.4 (2.8.8 did not), HyperDither, appear functional as in past.

Tracking and visualizing custom cables outside the parameters of built-in libraries or fonts/symbols in alternative software, using Numbers 3.5: one of the problems that can be encountered in charting cables is that programs with built-in stitch libraries may not provide for cable crossings specific to your pattern. The charts below have not been proofed executable in a swatch at this point in time, are simply a way of exploring drawing methods, my working notes from some quick experiments, not a step by step tutorial. I have no way of confirming results in previous versions of the software or OS.

available “shapes”

To make them editable, click on the shape, go to format menu, highlight shapes and lines-> make editable. Click on the shape and in turn on the format symbol below in the image below, and windows become available for style and arrangement choices

The knit and purl symbols on the left of my first chart utilizing line with arrow shapes are standard ones. The right side uses a dot for purl stitches instead of a line, and that began to make the whole more readable to me. One drawback is “shapes” do not seem to respond to any copy and paste demands and I had to draw each individually. I preferred to place them outside my chart. Guidelines then appear to suit for easy resizing and the resulting edit may then be dragged and dropped into the appropriate location in the chart, readjusted as/if needed. Color palettes for drawing appear limited to the built-in shades; toggling between available colors may be accessed by clicking on the dots below the pen tool in the first illustration above.  In the chart, purple lines indicate stitches brought forward, yellow the stitches brought to back when working the cables. The number 10 in the left-hand column should be a one.

Cleaning up lines and adding color if needed may be done in Photoshop or GIMP; this makes forward stitches a bit clearer

bucket fill provides an added way to follow the movement of stitches

Utilizing the pen tool in shapes menu to draw custom cable crosses and filling them using the option within the numbers program moves toward an all color chart_ far quicker than using lines and bucket fills. The red segment indicates knit stitches traveling in the back for the cable cross

A lot of information is available on creating reversible cable fabrics using ribbed configurations. I thought I would play with knit/ purl blocks rather than vertical rib lines. The initial chart was begun in Intwined, with bucket tool filled in Photoshop to extend colors within cable crosses. The red border outlines the pattern repeats. Alternate right side rows are shown; all wrong side rows are worked as the stitches appear (knit stitches are knit, and purl stitches are purled). Here the cell colors happen to be reversed from their use in the above, the yellow is used for knit stitches, the green the purls. I opted to indicate knit stitches by color only, no symbol.

This is the resulting swatch, in random acrylic yarn, with varying numbers of rows in between cable crossings my plan is to create a scarf in significantly thicker alpaca yarn, a strictly HK fabric. The photo shows both sides of the fabric.

Creating knit graph paper on Mac, using Excel and Numbers

Working in Excel 2008 and Mac Numbers 3.2, edits added 2022, 2024 

My blog is a living document. I tend to keep old posts as they were originally written, which can help reflect the evolution in the resources from those available at the time and my changing and at times growing skill in using them.
There have been many interim posts on using Numbers in knit design, whether as a stand-alone or in conjunction with other programs ie Gimp.
At times I revisit topics as separate posts, or I correct or expand the information in ones previously published, true here, at the bottom of the post.
2014
On a worksheet, columns are usually standardized to accommodate approximately 9 font characters. Width and height are measured in points and units such as inches or centimeters: 1 point equals approximately 1/72 inch or 0.035 cm. The default row height is app. 13 points. In developing knitting charts smaller units of measurement are preferred. Preferences (general) may be changed from the default (inches) to cm, or the smaller unit mm, and saving.
Online conversion between units of measurement and PostScript points may be calculated (if needed) using calculators ie.
http://www.unitconversion.org/unit_converter/typography.htmldefault cell measurements in mm and points When opening an Excel document, to view only one page: on the bar at the top of your spreadsheet click the View menu and then in turn choose the Customize Toolbars and Menus. The window below will appear, click on the commands tab. Scroll down to “Zoom to One Page” on the list, “click and drag” it to your toolbar, releasing your mouse button to place it using the vertical line that appears as your guide to determine its placement.
the chart toolbar with the icon (to the right of the red line, click on the image for magnification)on the standard toolbar

If the chart toolbar is in use, left-click on the arrow at the right, where Customize toolbars and menu are the second option offered; a right-click will allow you to modify toolbars as a first choice and offer the commands as an option.
Clicking on the icon now in the toolbar will show one worksheet, and adjustments may be made as follows for producing your graph paper or knit chart, clicking again will show multiple sheets once more.
Click on the diamond upper left-hand corner to select the whole sheet, now that the whole sheet is selected apply your unit choice to the whole document: place your mouse on and hold it between the cells indicated by any 2 of the letters (separator will appear), drag the boundary on the right side to define the desired width, repeat the process between any 2 numbered rows to define the height. The format menu may also be used; first, select the whole sheet, then on the home tab, click on format, and select format row height or format column width alternately to specify desired measurements The latter method may give better control over unit specs in some instances.
If the intent is to use the program as virtual graph paper on which to add color, symbols, etc one may continue editing,  and working with borders and border drawing options line thickness most suitable for printing may be selected, along with types of lines and colors. Common ratios for knitting are 4:5, and 2:3 (height to width) with stitches being usually wider than tall. Single-page workbooks to start your chart editing created in Excel to save for printing were deleted in 2024 because of failure to open in usable form in Windows 10 OS. A 2024 PDF for developing a punchcard repeat on a rectangular 4:5 grid punchcard red lines
Since this post was first written I have moved away from using Excel completely to working with Mac Numbers.
If the goal is to have graph paper that approximates stitch and row gauge, that is achievable by using Numbers with the rulers set to centimeters.
Selecting the initial document for printing by using the select all command in a variety of ways did not print the whole document for me or even recognize the content. Whether printing the whole document or part, the print area needs to be hand-selected. Click on the cell upper left where you want to begin, drag the mouse, and release on the last cell at the bottom right on which you wish to stop. The selected area will now appear colored blue and outlined by a broken line. In the file menu, choose the print area, and in turn to its right “select print area”. File print should in turn be operable now, along with a preview of the selected area to be printed. If you wish to have the graph paper as a permanent file, proceed as above, but from your printer screen select PDF, then save as

An online PDF generator for printing graph paper for knits (including shadow knitting) in 2 ratios and orientations may be found at
http://www.theknittingsite.com/knitting-graph-paper/

Previously posted links and more on using Excel for the virtual designing of knit charts and motifs
2013/10/29/charting-knits-in-excel/

Numbers 3.2.2,  updated to version 12.2.1 in December 2022
I chose to change my preference for rulers to point units (options are for centimeter inches and points)

default cell size in cm and points

Click on the table at top of your document screen, to the right of the function icon; select the first choice on the left, the second row a place to start Uncheck alternating rows on menus on the right, revise options
Click anywhere on the screen, and use the command all to select all table cells. Choose row and column size, type in your desired values, or using the arrows provided, hit return. Click anywhere on the sheet to get additional markings to appear again. With your mouse, grab and drag the _| symbol on the bottom right and you will also have the benefit of viewing the number of rows and columns in your document. Click on the circular target icon on the upper left, drag the _| symbol on the bottom right, and all units on the sheet will be resized to display measurements. For thicker, darker, or even in different colors and types of lines changes are easily made when working with the borders menus. Clicking on any cell leaves only your graph; selecting print from your file menu prints exactly what appears as the sheet number chosen, and /or saved; additional adjustment options are offered on the right

Click on the white part of your sheet, only your chart will be viewable and ready for printing. If a PDF is desired, choose Export to -> PDF from the file menu.
PUNCHCARD TEMPLATES
I had a Ravelry request for a punchcard template. In a previous 2011/12/14/more-low-tech/, I shared a method that got me in the ballpark using a Word document, for having a printable, near-scale graph. Here is an editable Excel workbook resulting in as near as I could get to printing the punch card at scale; included are beginning added markings for Brother machines that could easily be altered to suit other makes; lines at the side can serve for comments or notes.
Going about printing differently: I captured an image from my Excel template saved it, opened the image in Photoshop, adjusted the image size as below, and when printed the output was nearly dead-on in terms of size and would make tracing motifs from it onto a punchcard over a lightbox super easy Using Numbers the closest I could get to punchcard cell size at that point was using point values, 19 for rows, 18 for columns, and printing aspect ratio remained off.
December  2022
In the initial try, the repeat used is a part of an electronic one, adjusted to a random 24-stitch segment, and it is 30 rows in height.
It is placed over a hacked lightbox of sorts, with a Brother blank punchcard taped over it to hold it in place. As can be seen, marking the card in the location of future punched holes would be fairly easy. Longer repeats may require the card to be shifted up very slightly at some point, which may work well, and avoid adjusting the original file height dimensions by very small point values and printing again.  
I have created all my numbers tables for charts up to now using the ruler units set to points. Matching the results of those experiments to a printed template for marking the card in punched hole locations was slightly off and required a bit of shifting to the card during the process.
Creating the spreadsheet using cm ruler units rather than points I came up with a template I am sharing, measuring 24 cells in width, and 60 rows in height as most standard factory-supplied blank cards.
The program will separate the design into more than one page if needed when File Print is chosen.
On the left, the 60-row table is divided into 2 sheets/pages.
The center shares the settings for the size of the table, the row and column size, and the print settings with Fit unchecked.
Punchcards design bodies are marked with a square grid. Using a ruler measuring in mm, they are fixed at 108 mm in width by 300 mm in height.
On the far right, a blank punch card is laid over the printout of page 1 of my document on an improvised lightbox, with what appeared to be accurate placement results: New downloadable documents should open with the corresponding points ruler setting unless you have already been using the program with the centimeter ruler setting. I cannot test the Exel documents.
For designing:
punchcard blank_excel
punchcard blank_numbers
I have had consistent success in maintaining the aspect ratio with ruler units set to centimeters, 2024, Numbers 13.2 :
punchcard-blank 35 09  meets the maximum content of 44 rows
print-card 60 rows will split the card into 2 default segments, the template is editable if operating in a later Mac OS, these options will be offered when the numbers spreadsheets are first opened print card_Excel
A PDF: punchcard-blank 35. To print to scale using Acrobat Reader, select:  Changing rulers in Numbers, from the program’s manual: Added info and results in the post Numbers and GIMP: online punchcard patterns to electronics 2 7/21

CUSTOM NEEDLE TAPES may be used as guides to track actions such as sequences in short rows or hooking up stitches (standard KM needles are 4.5mm apart). My color printer is defunct, so this is the grey version. Color coding or notes may be easily added to blocks for more complex fabric manipulations. A reference for some conversions of mm to points based on needle spacing, each 4.5 mm unit = 12.75 points, rulers may be set to centimeters, see the bottom of the post.  Print the results at 100% in landscape orientation with fit checked Some tables to test, editable to suit your needs. Keep in mind the size of the print area in the document is indicated immediately beneath the page orientation illustration, in points.
tapes_numbers
The last table in the document is designed for use on 35 stitches arranged in mixed-width segments. It has been printed and is shown here on the machine, placed under a random needle group, with corresponding needle selections in and out of work. The topic was revisited here. A variety of printable tapes for multiple gauge knitting machines is offered by Claudia Scarpa in her blog post.
Working in cm, taking into account that needles are 4.5 mm, 0.45cm apart eliminated the conversion to points.
The program alters a couple of the values for the width of the table cells slightly, as seen here for 1-10 cm needle spacings To maximize the available printing space, under print setup change all margin values from any preset default to 0.54 Although the print setup shows page numbers in cm, the page orientation measures are given in mm, the width in landscape orientation is 279mm=27.9cm, with 26.8mm available drawing space when page margins are set to 0.54  The 2.26 mm cell unit tape in place on the machine  2024
To change rulers in Numbers 13.2 to Centimeter setting, and avoid the need for any conversions to points from the Numbers Menu at the top of the screen Choose Numbers >Settings then click rulers at the top of the settings window. Click the Ruler Units from the pop-up menu, then choose an increment, in this case, centimeters.  The math in calculating table cell size is simple. This export is a revised copy for use in Numbers 09 using cm rulers: needle-tapes-only.
The later versions appear to ask if you wish to upgrade the document.
The file created in version 13.2:
needle tapes only_numbers 2

 

Miters and spirals: visualizing, charting (and more) 3

SPLITTING THINGS UP leads to a series of quite different fabrics, sometimes creating interesting secondary solid color shapes when striping is added to any of the forms; repeats will need editing to avoid extra rows to keep the designs balanced, or have them added across their width for extending shapes, such as in creating ruffled effects. I have worked on these charts using Numbers, image capture, and resizing and editing again in photoshop if needed. The images below are not intended as a “sit and knit” tutorial, but rather as a start for creating your own designs, on the desired number of stitches, I randomly picked 22

some possibilities on method: SPIRAL original shape

splitting in 2 parts

changing positions and stacking, all knit row edited to bottom of repeat

a mirrored segment

added to first repeat, center line double row edited out for knitting

MITER: original repeat

split repeat

moving parts around

areas for adding plain knit rows in desired numbers across the knit (yellow), keeping in mind how this will affect color changing sequences if striping is used to create secondary patterns; repeat usable for machines with color changer on right

mirroring the whole repeat horizontally for use with color changer on left

Changing colors at regular intervals including every 2 rows will yield secondary, geometric patterns; all knit rows may be added to the right or left of the shapes maintaining color changes, for different effects; if these are planned in extended “white areas”, the holding sequence needs to be maintained every other row; slip stitch setting may be used to automate, with repeats reworked for use on 24 stitch punchcard machines. I find when exploring any of this initially, working repeats as hand techniques helps me understand necessary sequences and editing before committing to punching holes, filling mylar squares, or programming pixels. Swatches and notes, swatches, and notes…

Miters and spirals: visualizing, charting (and more) 2

Visualizing the shapes (using charts in Mac Numbers)A spiral gore is the first or second half of a miter gore, conversely, a miter gore has 2 consecutive spiral gores, knit in a mirror image. GOING ROUND: numbers 1-12 represent knitting sequence for wedges, thicker lines at segment edges = rows across knit width at end of each sequence, 2 rows or many more depending on planned design shape

Previous posts on related topics:
2011/06/18/knitting-math-and-pies1/
2011/06/24/taking-it-to-a-garment/
2011/03/29/the-doilies/
2013/12/28/short-rows_-balls-tams-3d-rounds/

Miters and spirals: visualizing, charting (and more) 1

Getting my thoughts together on this topic I searched for any of my previous posts that may be related, here is a list
2013/12/18/holding-stitches-short-rows/
2014/02/24/holdingshort-rows-hand-tech-to-chart-to-automating-with-slip-stitch-1/
2013/12/28/short-rows_-balls-tams-3d-rounds/
2013/01/21/automating-pleating/

Even in my earliest days as a hand knitter, I liked charting out my sweater shapes ie sleeves, necklines, etc on graph paper and tracking my place by marking the appropriate row or every other row on the charted image. Many of the formulas for charting math in garment shaping may be emulated by drawing a line on the chart where each square represents a stitch and a row, connecting points, and filling in squares. Averaging out grid shifts is also the guideline to increasing and decreasing for shaping on pixel charts. Though this may be a bit of egg before the chicken, I got sidetracked playing with software yet again.

GIMP

Working premise: using holding to shape a wedge over 36 rows. Stitch multiples  are brought into hold opposite the carriage (floats will be created if they are brought into hold on the carriage side), in the instances below each graph row represents 2 rows knit, my fabric width at the start is 100 sts

Set image size _ pixels equal stitches and rows required

Magnify X 1000 (this is what I prefer for viewing and editing, less magnification may be used)

Activate 1 stitch grid/ show grid/ snap to grid

Make certain the whole image is within your window view

Using line shape: click on the upper left corner, press shift key_a drawing line will appear with a + symbol at its bottom right_click on the first square on the bottom right, a line will appear where black squares represent  # of stitches to be held each row

bucket fill in  the appropriate side of the wedge to represent knit stitches

create a new, larger canvas that will accommodate desired multiple stacked repeats and possible knit rows in between shapes in a new window; copy image from the first window, paste  into the new window, move it, and place in the desired location on your  screen

return to the first window, flip the image vertically (image menu/ select transform and direction)

again copy, paste, move into the desired location, and insert knit or (patterned) rows (green) when and if desired. On electronic machines, the final image would have to be doubled in length, so those “knit row” pixels/squares would have to be adjusted accordingly to half the desired number

Row by row charting for double-height to represent each row of actual knitting: the process

starting with a repeat 6X6

convert image to bitmapped (repeat at upper right below is a different one, should match the one being resized)

scale image: click on the locked symbol/ chain link, in turn, to alter the aspect ratio, change both pertinent numbers

the repeat twice as long, 6 X 12

going 3D, possible spiral

eliminating squares

shifting things around in order to add “automatic wraps”, begin knit with COL

in further progress

triangle-auto-wrap

stacked repeat

stacked repeat

save in image in format for downloading to machines via cable and knitting using slip stitch setting, or export or screen grab for printing and knitting from chart visually as hand technique. If printing images colored cues may be added for carriage/lock setting or color changes, etc. The question: what about numbers and excel?

NUMBERS

Using the line tool (shapes) will get the line in place, shaping is “eyeballed”

knit squares are filled in

so you want to double the height only? Apple for some reason when they  “upgraded” to the latest version of the program (3.2) has eliminated the split table feature, so the only way I can see is through using the table: add rows above or below in the chart, a new row will be a copy of the selected row

EXCEL

the insert row option will add rows only below selected ones, I have not found a tool equal to the line shape in Numbers

Lace mesh motif charting_ Mac Numbers_ a touch of Excel

October 2021: I periodically return to old posts and find much has changed since they were written in terms of software or in my thinking on the specific technique.
Rebuilding the working 24 stitch repeat from the colored chart here is now quick and easy. More detailed instructions on using both Numbers and Gimp may be found in my posts in subsequent years.
In summary, the expanded colored image of the repeat was cropped to 24 cells wide, 92 cells high. A table with cells measuring 20 by 20 points, 24 units wide, and 92 units high was created with a red grid. The image of the repeat was sized to match the same width and height as those of the table. The table was then arranged in front of the image, and black was filled in cells over the colored cells below. The new table was then screengrabbed with all interior cell borders removed, but with a thin border around all content, opened in Gimp, changed to indexed mode. Because lace has so few black dots I find scaling to punchcard size is more accurate if colors are inverted first, and again after scaling to the 24 by 92 required repeat, shown on the right. the associated png  Previous content:
The symbols here were disregarded in building the repeat here, but they matter when developing designs for use with the lace module in DAK.
This lace “separation” was based on a mesh technique, created using Mac Numbers, for use on a Brother knitting machine, with the Lace Carriage operating from the left side. The final design requires 4 passes by the lace carriage followed by 2 rows of plain knit throughout. 
Hand knitting: a brief list of symbols, and a few of their associated directions The hand-knit motif inspiration and symbols remain unchanged in this post, The colors were assigned for coding the direction of transfers to maintain the mesh transfer sequence splitting rows, is an option eliminated by apple in later versions of numbers copy and paste the above in a “blank” part of spreadsheet creating a new table; resize cells by selecting all in the new table, and clicking/ dragging on the bottom line of any of the grey, numbered row cells on left to number/ measurements of cells in the original document. Release the mouse, and all cells will be uniform in size.
In later versions choose the round symbol on the top left of the table to select the whole table or select all cells in it, in the table menu on the far right, cell size may be adjusted to any numbers one desires. If the final file is for scaling in other programs, it is best to have both numbers match. I have grown fond of 20 by 20 as I continued to work between numbers and Gimp. Note: after elongation, on first and all odd-numbered rows colors occur, but no symbols. On even rows, there are both colors and symbols. On odd rows (no symbols) now “erase” the green, on even (symbols) erase the red, results below,  on the right

mark the outside of motif on the above right with a third color, beginning on the second row; cut and paste complete motif in a “clean area of your sheet so it is surrounded by blank space, this will save a lot of “erasing” (technically this creates a new table)select and copy blank rows as wide as your motif (blue outline on left)click on 3rd color square beginning at the bottom left, use the insert copied rows command, adding 2 blank rows between pairs of rows that will become markings for lace transfers,  moving up the design, ending with 2 blank rows as well the resulting “separated” mesh repeat is now 92 rows long:  spacing between repeats and number of knit rows at its top may be adjusted to suit preference/ taste. Red and green squares are what is punched, or black squares on mylar sheet, etc. Note: red containing rows have no symbols now, while green ones still do, another visual check with repeats this long, it is worth marking up the final template like that encountered on the card or mylar as described in previous posts: a pdf tree_lace for downloading and marking to suit, depending on mylar sheet or punchcard use. Each colored square represents a punched hole of a black cell. The resulting swatch:

the full repeat could be used singly, to create a border, or to become a  part of a much larger one 

the same motif  created in Excelany change to repasted motif affects the whole document in that area, unlike as in creating a new table in numbers as I recently “discovered” (a very convenient difference)
to elongate the design,  so far my solution has been to mark as above, click on third color cells on the left, beginning at the bottom, then using the insert row command. Doing so yields results that can be seen in the partially expanded chart below the remaining process may be carried out, using slightly different tools to achieve the same results.