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“The Epic of Thread: Eight Years Later”

People ask me, “How long does it take to make a quilt”? I usually respond with, it depends. This is true, and can be broken down methodically to size, number of pieces, complexity, etc. When I am making a quilt just for me, there is no deadline. The answer is simply “as long as it takes”. I wish I could use that answer at work! When I quilt for fun, I don’t rush. I don’t ever give up. I will work on it off and on as I feel like it. No deadlines. No pressure (though sometimes I get friendly encouragement from my quilty besties).

Eight years ago, around September 17th, my dear friend Kayla and I hosted our first quilting retreat together. At that retreat, she gifted me a book, 100 Modern Blocks by Tula Pink. My kiddos were in elementary school and just kicked off a new school year. It was the same year I fell in love with laser machines and set my eyes on eventually owning one. It was a hoot to look for images for this post. I saw all the fun things my family and I have done while I slowly rolled this colorful quilt. I’m not sure how it worked out, but Kayla also purchased the book and I think she suggested that we work on it together. (Spoiler, yes, this means there is another one coming from her soon!).

First the pattern. Then the fabric. What does one choose for a sampler quilt with 100 different blocks? Something about the Kinetic line by Windham fabrics caught my eye, so that is where I started. I added coordinating solids to a fat quarter bundle.

I completed the first block on Sept 30, 2017. But the second block didn’t get completed until October 2017. Dark times.

Somewhere along the way, I knew I needed more fabric. I was in love with Kayla’s fabrics. I decided I needed to supplement mine with some Tula Pink, All Stars. This quilt is the first and only quilt I have used her line of fabrics in. They were so much fun! If you look closely at the finished quilt, you will see whimsical animals and bohemian designs. These are mixed with the kinetic shapes of the more geometric fabrics. Friends who saw me working on it would trade me pieces to supplement. One of my favorites random adds was the addition of a unicorn and the Loch Ness monster. (Thanks Chris!)

In the last 2 years, I went to Arkansas to visit Kayla. We quilted together. We also swapped fabrics from our collections. (Thanks Kayla!) We will each have some of the same fabrics in our quilts. Instant memories. The colors in the Tula lines mixed amazingly well with the Windham Kinetic line. This combination allowed me to expand the color range of the blocks. I kept track of how many blocks I had in each color family and tried to balance the quantity from each. It is far too easy when stitching samplers to navigate to your favorite colors all the time! Around September 2024, I finally finished all of the blocks, and had prepped my background for piecing. Random just didn’t work for me. I needed order. My inspiration for the layout started with the idea of a traditional log cabin. The heart (traditionally red) would be at the center. I then let the colors radiate outward in general wavelength order. Chromatic order to the rescue.

Somewhere in between the first four blocks, a career change, a “pandemic”, master’s work, a backyard construction project, a senior graduation, some fantastic experiences with my family and friends, countless trips to my favorite quilt shops, and two lasers later, I have a finished quilt. I think this one will get a label saying “Enjoy the Ride”.

The final layout was called “City Planner” and the longarm quilt design I chose was “Grid Lock”. Fitting for an 8 year journey! I chalk it up to a “block of the month”. It didn’t really seem that long. Time flies. Happy Quilting.

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Tame the Tangle: My Studio Just Got an Upgrade

Over the last several months I have been experimenting with some new additions to my studio. Lasers! They don’t have names yet, but I am sure their personality will shine through soon. My love for leveraging this technology as a quilter’s tool started back in 2017. Over the years, I have occasionally used the Johnson County Library’s Maker Space. It was originally sponsored by Black & Veatch. My new lasers allow me to create custom laser cut applique and quilting tools on my own schedule. Meet my baby 20W diode laser and it’s big sister, a 55W CO2 laser.

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I’m loving it! I’ve created some intricate layered laser cut appliques for quilts and I just finished designing some acrylic templates. While creating tools for my projects and organization, I also plan to make limited quantities available in my new shop. Grab them quick for fastest turnaround time! Today’s highlight is my new Binding Hive™.

It is a thick, slotted, acrylic base that holds two sizes of Ruler Reels—laser-engraved spools that double as measuring and cutting tools. One side of the 1/8″ acrylic reel has a regular ruler, and the other a zero center ruler. The base and reels fit neatly in drawers of my IKEA cabinets. They keep my binding upright, visible, and ready to roll. I look forward to getting my stash of binding leftovers visible and ready to use for some projects.

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Top Tools for Quilt Binding: A Quilter’s Guide

I was finishing up some quilts today and I want to highlight a couple of my favorite tools that I use when making quilt binding.

First, I LOVE my June Tailor Shape Cut Pro ruler. It is a monster-sized ruler at 20″ x 23″ and allows me to efficiently cut 8 – 16 (probably more) 2 1/2″ strips for binding at one time from my yardage without needing to continually adjust a ruler. It is also great for crosscutting squares of any size with 2 1/2″ increment measurements. I am so sad that it has been discontinued! I have been trying to find an alternative that will handle 1/2 width of fabric without luck. The Stripology rulers are nice, but I find myself falling back to this one when cutting a large amount from yardage. Maybe GE Designs or Creative Grids will fill this gap in the future. If you run across one of these anywhere, I highly recommend picking it up! Check out this video if you are curious about how it works.

The second tool I want to share is the “Binding Eaze” by Quilted Heartz. I love an inventor. It isn’t a surprise to me that they have come up with some tools to enhance the arduous process of prepping binding! This tool can be found at many quilt shops around the country, including one of my favorite local shops, KC Maker Studio and Fabrics. Check out this video. It really works just like she shows, so no need to remake the wheel here. If you have issues with the binding eaze sliding on you, the tip I have is to stick a few short pins in the corners. This gives it a little more stability.


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Decades of Decibels

Who’s your favorite uncle?

It isn’t often that you get a call, and you immediately know the caller wants something, BUT, that whatever they are going to ask of you might actually be fun, so you let them talk you into a “Yes”. In this case, I became immersed in my first full T-Shirt quilt that I have dubbed “Decades of Decibels”.

I can’t claim design inspiration on this one as my uncle knew what he wanted. He had taken time to inventory and visually lay out the shirts he had collected from rock concerts over the years and had curated 30 black and white tee’s from his collection. I think allowing me to slice into some of these took some gumption. It was a pretty hard task not to try to convince him to let me keep a few to wear!

The original ask was to cut 25 shirts into rectangles, where none of the images would get cut off. However, I convinced him that it might be better and allow more of the shirts to make the quilt if we cut the shirts down to squares. A presentation given by Chris Jacobs, a member of the Kansas City Modern Quilt Guild, suggested that you would be surprised that you don’t REALLY need to the whole picture to immediately get the full idea of the design and memory. (I wholly agree and have experimented with it on some of my son’s old super hero tees.) In my mind, going square is similar to album covers, a fitting combination for bands who had their hay days in the 1970’s, 80’s, and 90’s. This ruler from June Tailor, June Tailor – T-Shirt Transformation Ruler, was perfect for helping to size the shirts up. So that I didn’t cut off anything my uncle found important, I had him center the ruler on each shirt and take a picture that I could reference later in the process.

I also used the design software EQ8 to visualize the completed project for him and suggested adding some interest to the blocks by adding drop shadow borders to two edges of each block. This wasn’t the final product, but you get the idea. He opted to have the same color for the edging of each block instead of switching between black and white as I show here. His quilt is also a little bit bigger!!

Each shirt took approximately 15-20 minutes to prepare. I started with the smallest shirts first. As you might be able to see in the pictures at the top, a few of the smaller baseball-style shirts ended up with the sleeve color included in my 15″ square cut. Since we were going for a checkerboard effect, I cut off the secondary colored corners and supplemented the square with the correct background color from the leftover pieces of the shirt.

Each shirt received the following treatment:

  1. Using scissors/rotary cutter, separate the front of the shirt from the back and remove the sleeves and neck area.

    NOTE: Don’t cut your T-Shirt down to size until AFTER stabilizing it!
  2. Apply Pellon SF101 fusible interfacing to the backside of each t-shirt front that we wanted on the quilt.

    Note: Pellon SF101 is available in both black and white. I used a Cricut EasyPress2.
  3. Now, post-stabilizing, cut t-shirt front down to size using the 15″ square ruler.
  4. Modify/supplement block corners on a few of the shirts.
  5. Add borders to two edges of the block.

Checkered Album Quilt Specifications/Contents:

  • 97 1/2″ W x 116 1/2″ L
  • 30 T-shirts (5×6), interfaced with Pellon SF101 (Black or White depending on shirt color)
  • Northcott Moda Wilmington Prints Timeless Treasures – Grunge Basics – Metropolis Iron (Shadows)
  • Northcott Moda Wilmington Prints Timeless Treasures – Toscana – Grey Yardage (Sashing/Border)
  • Quilters Dream bamboo batting
  • Omni 2025 Thread, 40 wt
  • Robert Kaufman – Warehouse District Wide Back – ANJXD-19798-2 Black

    I love this edgy line of fabric designed by Leslie Tucker Jenison and have used it in several projects already! I think it was the perfect pairing for this quilt.
  • Straight line stipple edge-to-edge quilting, similar to Broken Glass by Deb Geissler

I’ll get better full pictures later when I get to make the final delivery to my “favorite” uncle. Who else would let their niece play games on their awesome computer and take them on rides in their snazzy car! It almost makes me forgive him for tormenting me like a big brother. 🙂 Cheers.

It isn’t the 1980’s anymore. When new albums come out, we have instant gratification from our streaming services. No more running out to the record store. No more sneaking in to get that cassette tape of the Damn Yankees that Mom and Dad certainly would not have approved of. Records, Tapes, CD’s? I don’t think my kids would even know how to use one.

Let’s see what AI has to say about this collection. I had ChatGPT create a poem from the first 5 bands on the quilt.

“In the land of dreams and wonder,
Where the sky and sea meet yonder,
The Moody Blues serenade the night,
With melodies soft and light.

In the mystical land, Kansas reigns,
With tales of love and loss and pains,
Their music echos through the hills,
A symphony that forever thrills.

Bad Company roars through the land,
With raw enery and power so grand,
Their rock and roll shakes the ground,
And leaves echoes that resound.

Emerson, Lake & Palmer take the stage,
With a musicality that’s all the rage,
Their fusion of sound and style,
Is a journey that goes for miles.

And last but not least, Rush takes flight,
With music that’s bold and full of might,
Their progressive rock leads us on,
To places beyond the horizon.

These bands of old,
Their music true,
Still resonates with me and you,
And we’ll keep on listening, day, and night,
To their magic, their power, their light.


Quilting Playlist: Curated from the bands represented on this quilt by the quilter, her “favorite uncles”, her dad, and some friends who may or may not have ever listened to some of these bands!
QR CODE FOR AN APPLE PLAYLIST
HAPPY QUILTING!

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Boldly Sewn.

Whew, finished!   Do you know that feeling?

This quilt was based on the zipper quilt that I saw in one of the Missouri Star Quilt Company’s Block magazines.  You can watch Jenny Doan’s tutorial at the link below.

The Zipper Quilt – Quilting Made Easy

The main thing I changed was to start with 10″ squares (layer cakes) instead of charm packs.  I used one layer cake and some Star Trek yardage that my husband and I stashed away over the last few years.  The result is an extra long, king size, Star Trek zipper quilt.

A quilt of such Sci Fi magnitude screamed for a quilting design bolder than stipples, feathers, or simple geometrics.  I decided to digitize a point to point command Insignia.  With connected ends, every other one inverted, and nested the rows, the quilt has no top or bottom.

Admittedly I got carried away and had to remove one whole column before quilting so that I didn’t need to piece my backing and batting!

Sew Bold!

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Scraps for a Friend

What’s the story…

I am typing this post from the KCMQG retreat at Missouri Star Quilt Company.  Yeah!  Look at the wonderful design board that have been installed for retreaters.   By tomorrow they will be full of beautiful fiber artwork!

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Every time I retreat, I meet so many wonderful people.  Everyone has a story and their projects are extensions of that story.  I just had to share the smiles of some of my new friends.

I met one such friend at another MSQC retreat a couple of years ago.  Last year we met there and she stayed with me at my home.  Before she came,  my friend said;  “You like, batiks, right?”.  I think this followed making my first quilt from batiks.  I said;  “Yes, I do!  They are easy to work with, and I love the “waxy” smell when I iron them”.   (Are you with me, or am I just nuts!?)

That was just the opening she needed.  Friend told me that she was going to bring me some scraps she had leftover from a quilt, that she just wasn’t really “IN” to batiks.   I said;  great!  I’m sure I could use them.  🙂

What was delivered was a disposable grocery bag full of batiks.  Later when I sorted through them, I discovered that the scraps consisted of half paper pieced blocks from a Judy Neimeyer quilt and small accompanying yardage.  SCRAPS?  What’s the story?

Well,  I’m sure we have all had projects that, part way through, just stopped being fun.  Either something goes terribly wrong, or it just doesn’t encourage us to continue with it.   If that ever happens,  by all means,  give it to a friend!

This quilt is the result of those scraps.  I just couldn’t bear to see all of the beautiful paper piecing go to waste.  Curved piecing is cool with me, so I salvaged all that I could and came out with an alternative layout for the pattern and added a border.

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THEN, from all of those scraps, I pieced a backing too…

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and binding…
and five mug rugs…

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and I still have fabric left!

Those are my kind of scraps.

So my friend,  I will be sending your scraps back to you, with the watery depths of fabric quilted with golden fish.  It is appropriate I think, for the Goldfish in Chinese legend is a symbol of surplus and wealth, and a GIFT of goldfish is a blessing in the hope of good fortune.   Send me your scraps anytime!  I feel rich having a friend like you.

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EnderQuilt – Game On!

Lately I have not posted many completed works.  I have been quilting for others, which, though rewarding seems to slow progress on my own projects.  But, I persevere…  This one took me less than 1 year!

I started this quilt back in November of 2015, on a whim, during a visit to Quilted Memories.    I remember picking up a stack of solids and talking to one of the ladies cutting about my plan to make a Minecraft quilt for my son that I had seen on Pinterest.

Creeper was completed in November of 2015, then in January he was followed by an enderman, cow, and a pig.  Steve, the chicken, lava and diamond ore came later, much later.   If you remember in my previous post, my son declared that he wanted an Enderdragon on his quilt.

Yes, I am glutton for punishment.  I couldn’t resist the challenge.

GAME ON!

An Enderdragon was born out of fabric in my stash.  I designed him in EQ7 as four separate blocks, based on a perler bead image I saw at Kandi Patterns online.  I didn’t want to use all small blocks like a bead pattern does, so created the pattern out of a mixture of large and smaller squares.

Originally he was on a solid background, but I felt that white just wouldn’t work.  I couldn’t use black or grey, as it would blend with his body and wings.

In comes Max (he is 8).  He sees my design.

“Cool!  That’s epic”, he says (or something like that.  I am glad he approved.)

Me:  “Max, what color do you think the Enderdragon should be on?”
Max: “Mooom, Enderdragons live on enderstone.”
Me: “What’s enderstone?”
Max: “Duh, just google it, here I will show you.”

Max proceeded to pull up an image of enderstone on my computer.  There it was in all of it’s stoney glory.  Max helped me pull out scrap squares of tans from my box of brown and tans from his great grandmother’s stash.   Stone is good practice for random.

After finally assembling the four, 24″ squares of the dragon, I assembled him in all of his glory.  As the dragon took up my entire design wall, I realized that I needed to come up with a plan for the rest of the quilt, that would now be a king size!   I used MS Excel to layout my borders and sashing.  What you see was my final pick.  I didn’t keep all of my sashing and borders equal because if I did, it wasn’t going to fit on my longarm!

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The quilt is hanging from my second story bannister below.  It is the largest I have made to date.    I think, in minecraft, the enderdragon prevents players from leaving “The End” until he is defeated.   Once defeated, a player gains lots of “experience”.

A special challenge deserves a special label.  I digitized and embroidered the minecraft diamond sword and font.  This was my final touch to a “just because” gift for my son, and co-designer, Max.

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Sister Susannah

The blocks in the Sister’s Ten Sampler this month are called Susannah.   Now, I cannot imagine having ten sisters, only only had two.  However, having sisters does make me think of the song “Sisters” by Irving Berlin, and that always makes me laugh.   It was made famous by Rosemary Clooney in White Christmas among others.    Here’s a funny tidbit.  Rosemary Clooney, the older sister, is actually 7 years younger than Vera-Ellen who played the younger!

The Susannah block is a windmill style block that uses a diamond in a square, and squares instead of triangles for the blades.

Like last months blocks, Grandmother’s Frame, I used a tool called “Ultimate 3-in-1 COLOR TOOL” by Joen Wolfrom.  It includes two filters or “value finders”, 24 color cards with swatches, and 5 color plans for each color.

Ives color wheel and Ultimate 3-in-1 color tool, by Joen Wolfrom, as seen at quiltinspiration.blogspot.com.png

To select colors for the Susannah blocks I used the following method:

  1.  What colors did I not use in the last two blocks?
    – I selected a yellow for block 1, and tangerine for block 2
  2.  For each color I used the color wheel
    – Complimentary colors directly opposite yellow are blue-violet, so I selected a split complementary on the violet side in the Mormor line- Complimentary colors directly opposite of orange are turquoise blue / cyan, so I selected a fabric in that range.
  3. Checked my values with filters.
    I wanted the centers to have a lighter value than my windmill vanes.
    – My background is white, and is the lightest value.
    Note: I selected colors that had more white space in the background for my complimenting colors, and more solid colors for my focus colors.  This worked very well to tie the new blocks to the previous ones created as turquoise and purple were also used in the last two blocks.IMG_8220     IMG_8223By selecting new focus colors for each set of blocks, and trying to use a focus color from a previous block, I think that it will help blend the blocks during final assembly.

SO…  What exactly is Hue or Value for any given fabric or color?
Value is the relative lightness or darkness of a color.

Contrast of value in your fabric selection helps separate object in space, while graduation of value might suggest a contour of the same surface.

Hue also has value.  But hue is the term used for the pure spectrum of colors, which appears in the color wheel.  Theoretically, all colors can be mixed from the three basic hues or primary colors. This post by Nick Pettit, “Value Texture & Color”  has some good descriptions.
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Did you know there are different definitions of the three primaries?

“Painters Primaries” are the traditional red, blue, yellow colors we learned as children.
However, have you ever paid attention to your ink cartridges on a color printer?

“Printer’s Primaries” are magenta, cyan, and yellow.
But then there is what we see on a computer screen.

“Light Primaries” are red, blue, green.  The best description I have read for the change is the fact that light is mixed in with the colors.

These differences are challenging when doing digital photography.  When I was into photography as a hobby, I calibrated my monitor to the printer profiles so that I could get image prints that were a close match to what I saw on my screen.

 

 

This is the first time I have used any “scientific method” for selecting colors?
How am I doing?  

If anyone is interested, I could go into some details on color perception and how some commercial industry defines their specific colors, tints, shades, and tones.    When I worked in the sunglass industry, different manufacturers would create a color that was “unique” for their product.  We used a Spectrophotometer to identify the spectrum, or energy response, of the color under specific illumination and conditions.  If you ever wondered how calculus would be handy in the fashion industry, then you have discovered one.  The method is not just used for lense colors, but for lots of materials, including fabric!  If you like math, look up the CIE Color space on Wikipedia… 

300px-CIE1931xy_blank.svgCIE 1932 Color Space Chromaticity Diagram

HAPPY QUILTING!

Note:  I am not an affiliate for any products or tools I have talked about here.

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Ringing the School Bell – A winning activity

My mother and I attended the First Annual Schoolhouse Series hosted by Prairie Point Quilt & Fabric Shop in Shawnee, Kansas yesterday (March 5th, 2016).

How did the series live up?
Was it just a sales pitch, or was it really geared to sharing and learning?

Each attendee was greeted upon entry with a bag full of goodies, including a program for the day, fabric sample rolls, batting sample cards, a Presencia thread, a pattern by Annemarie Yohnk / Quilts Remembered, edible treats, water, and materials for note taking in class.

The day began with all of the quilters enjoying breakfast treats by Panera Bread Company and socializing.  I don’t know an official registration count, but would say there were easily over 100 ladies in attendance.  There were also lots of ladies and gentlemen at the school doing nothing but serving and helping route everyone to their classes and answer questions.

The Schoolhouse Series consisted of six sessions.  During each session, we were able to select one out of six classes.   Since part of our attendance was simply for socializing and enjoying each other’s company, my mom and I stuck together.   The classes in blue are what we attended.  Each class was only about 25 minutes long, just enough for a quick introduction.

Schoolhouse Series Classes
Teachers:  Annemarie Yohnk, Jeanne Poore, Kelly Ashton, Lisa Clark, Wendy Dombrowski, Barb Fife, and Susan Thorup.  

Lemony Star the Easy Way ….. No “Y” Seams
Hourglass Blocks with the Tucker Trimmer
Curved Piecing without the Struggle
The Joy of Machine Quilting
Sixty-Degree Savvy
Mitering Corners
Paper Piecing
Wish I’d Known That
Scrap Crazy 8
Strip Smart Quilts
Hunter’s Star with Deb Tucker’s Rapid Fire 
Modern Clutch
Baby Quilts
Notions
Table Runner Fun
Yoyos, a Short History
Prairie Points
Those Fabulous Feedsacks
Wool Applique

The instructors did a great job of staying within the allotted time, were organized, and flexible enough to answer questions.

I really enjoyed the class, “Those Fabulous Feedbacks”, with samples and stories shared by Jeanne Poore. I also thought her miniature cathedral window quilts were amazing and worthy of praise.  Jeanne’s work would be what I would expect to see in the National Museum of Toys / Miniatures in Kansas City!  During the class, my mom told me a story about the feedsacks that her grandmother had saved and given to her mom to make clothes for her when she was a little girl.  I’m sure many ladies involved in quilting today have similar stories.  I wish that modern day packaging was so useful!

My other favorite class was the demonstration of making a Hunter’s Star using the Deb Tucker Rapid Fire ruler.  The class was well organized with samples made at each step and a finished quilt displayed.  If the book had been in stock, I would certainly have come home with a new ruler for my collection and some plans for a future beautiful quilt.  I really liked how the construction was streamlined with the tool.

After being served a Panera sandwich lunch, we were treated to a trunk show by Annemarie Yohnk.  My favorite part was where she shared some of her collection of doll blankets and back stories.

I came out of the series with a smile on my face, ideas in my head, and maybe even some new friends.  It was a perfect Saturday jaunt with my favorite quilting buddy, my mom.  We plan on trying to meet up with some new friends at the local “Modern Quilt Guild” this week to see if we can find a great group to participate in.

I hope that Prairie Point rings the school bells again next year!
If we plan it right, we will bring some other friends too! 

 

 

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Curve It Up – Block 11 – Temperance?

Who knew that some history of traditional quilt blocks could be found at the National Park Services website?  Check out this Quilt Discovery Booklet posted there.

The Drunkard’s Path from the Curve it Up pattern is the most traditional design in the book (my opinion).  “A Drunkards Path” consists of 16 blocks.

According to the Quilt Discovery Booklet, the Drunkard’s Path was popular during the temperance movement.  The Temperance Union colors were white for purity and blue for water, the “purist” beverage available.  I also made my block in Blue and White.  However, if you know the source and how water is processed in many municipalities, I would not call it pure…   If you live in the wrong place, you might even be drinking Lead.   Maybe we would all be safer drinking Gin and Tonic!

My favorite thing about this block is the fact that there are NO POINTS TO MATCH.   If you can match rows with nesting seams, then this block is for you.  It is a very forgiving curvy block. Temperance is not required.     Cheers!
If you are interested in the math of a drunkards path, read on. 

 

A traditional drunkards path uses a smaller radius of curvature, AND the center of the circle or arc is placed at the corner of the block.

The block created with the Quick Curve Ruler uses a flatter arc, or a larger radius of curvature and the radius is placed further away from the corner of the block.  You could create this same effect by creating your own template, but make sure that you have the arc hitting on equal sides of the square.

Here are some example diagrams.

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When you cut traditional Drunkard’s Path blocks, the curve shown above is NOT your cutting line.  The reason for this is that it doesn’t account for your seam allowance.  Since you are stitching a concave piece to a convex piece, if you do not add additional seam allowance, your outside edges would not match.

The beauty of the Curve It Up pattern is that it suggests you start with a larger square than you need, stitch your curve, then trim the block to size. The method is used for all of the blocks in the pattern. I think this could be used for the traditional curved piecing as well, but you would need to increase your original squares of fabric to accommodate trimming to size and would have to be careful to keep curves centered.

If you are a math nerd…
I drew a curve using my Quick Curve Ruler and measured the length of a chord, and the height measured at the midpoint of the arc’s base.  Using those numbers I came up with a rough calculation of my Quick Curve Arc Radius.

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Quick Curve Ruler

Chord Length (W) = 6.5″
Height (H) = .75″

R = (.75/2) + (6.5*6.5)/(8*.75)
R = 7.416″

“To calculate the radius” above is from Math Open Reference Website:  http://www.mathopenref.com/arcradius.html