Archive for the ‘Mathematics’ Category

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17.9 SQ Episosde 028 – Angles in Quilting: Part A Triangles

July 31, 2011

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It’s All about Triangles & Quilting!

We pay homage to one of the cornerstones of quilting – the lowly triangle!

Three sides, three angles, three major descriptions of triangles.

1. Scalene triangle

  • 3 different length sides
  • 3 different sized angles
  • typically used in setting triangles
  • easier to paper piece
  • no lines of symmetry – cannot accidentally flip the block over to fix a mistake
  • can be a right triangle (one angle = 90 degrees)
  • typical triangle found in math class 30, 60, 90
  • can be called half rectangle triangles in quilting

Found in:

  • tilted blocks (as setting triangles)
  • wonky blocks
  • mariner’s compass blocks
  • palm blocks
  • birds of paradise blocks

Eye searing pink blocks are just SOME examples of scalene triangles in these blocks.

2.  Isosceles traingle

  • 2 equal length sides
  • 2 equally sized angles
  • most commonly found in quilting
  • Half Square Triangle – HST
  • Quarter Square Triangle – QST
  • one line of symmetry, flip around the ‘odd’ angle
  • can be a right triangle (HST, QST, flying geese)
  • how you cut could have one bias edge (the hypotenuse) or two (the shorter legs)
  • typical triangle found in math class 45, 45, 90
  • triangle with an acute ‘odd angle’ – kaleidoscope block

Found in:

  • pinwheel
  • broken dishes
  • flying geese
  • ohio star
  • hourglass
  • square in a square
  • friendship star
  • spool
  • maple leaf
  • kalidescope …..

Look for the black triangle to see some of the isosceles triangles in these quilt blocks (there’s many many more)

3. Equalateral triangle

  • 3 sides equal length
  • 3 equally sized angles
  • least commonly found in quilting
  • 6 triangles can make a hexagon block
  • all angles are 60 degrees –  no exceptions
  • 3 angles of symmetry, flip around any angle
  • guaranteed to have 2 sides of bias edges

Found in:

  • thousand pyramid blocks
  • chevron designs
  • strip pieced hexagons
  • tumbling blocks
  • bordered thousand pyramid blocks

Hmm

Look at the yellow any block to see the equilateral triangle (assuming the image doesn’t get squished somewhere)

Triangle Math Websites:

Home Sewing Front

Working on periodic spiral quilt – mostly basted, now need sewn together

Need an outline behind the spiral for it to stand out from the background

Exothermic quilt – see previous post about my place on this quilt as of a week ago.

Exothermic quilt on point:

Design decisions to make on the exothermic quilt:

  • Borders are GOOD – do NOT fix them
  • On point or not?
  • If so, have to fix coping black/ grey inner border
  • How much more black fabric to buy?
  • Paralllelograms in the middle stay or go?  – it provides good movement, but too much of a distraction??

HAVE YOU SEEN:

  • a 5 x 8 sized graph paper notebook for sale?  If so, what brand, where are you finding them, have you seen them online?
  • I would love a notebook this sized to carry around more easily!

A MUST HAVE book for anyone wanting to hand / machine quilt with specific designs:

501 Quilting motifs: Designs for Hand or Machine Quilting from the editors of Quiltmaker Magazine

  • Takes one motif and slightly changes it, multiplies it, rotates and flips it,
  • gives dimensions on block size for motif found in book.
  • looks easy to trace and adapt
  • great resource
  • hardbound
  • spiral inside

If you want to Swap Charm (5 inch) squares, go to this swap on Swap – Bot:

I’m willing to join if there is a good & healthy number of people in the swap!

You have until Sept 2, 2011 to make your decision!

Music

From Mevio’s Music Alley

From Freesound.org

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15.3 Going in Circles

April 30, 2011

I just saw a blog post about sewing perfect circles.

And she’s a ‘math nerd’, and something about the labeling the circle angles really appeal to me!

Image is from Cut to Pieces blog

This image is just a board to create when you may be dealing with making a lot of circles at a time.

The post is long, but so worth it, because it has a high level of accuracy when finished.  At least, it looks like it would produce high levels of accurate results.

Here’s the link

Perfect Circle Tutorial

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13.8 Swap Addiction Anonymous

March 13, 2011

My name is Darla and I may be addicted to these swaps.

 

Okay, not addicted, but all week, I am working on a block swap with Sew Many Swaps, yahoo group.

I can’t seem to stop, because these blocks are so easy.

You may have seen these blocks in the past posts for the last week.

Here are some mid step blocks ready to be sewn together!

I love organizing for these blocks, getting each block lined up with each other block, the geometric arrangements of my intermediate pieces is very pleasing to me, which is furthering my addiction.

It turns out, it’s a good thing that I like this, because I just read through the directions again and I was thinking that I was done after 6 blocks per set, when in fact, it will be 8 blocks per set.

 

So I have 6 more blocks to go.  And I’ll have a nice manageable  sized quilt to do with what I wish.  I am even going to incorporate my leftover blocks into the borders!

Or perhaps they are their own quilt.

Anyway, I’m not sure what I’m eating today, and I’m not sure I am going to leave my sewing room today.

Hope I don’t actually starve, I’m sure I’ll be provided for, but sometime I may need to actually tackle the rest of the house.

Happy happy pretty pretties.

Now to feed my addiction again!

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12.5 Hand Stitched Tumbling Block

February 18, 2011

I have completed my table runner top that is my hand stitched tumbling block.

This would be a fantastic pattern to create in a larger quilt, but for now, this works for me.

Just a single hexagon.  Very cute, and very appropriately me.  I hand pieced this while at work, little bit at a time.

In a month and half (would have been shorter had I taken more breaks at work) I went from no pattern, to this pattern, all done by hand.

I am taking this, along with a lot of a lot of other (smallish) projects to machine quilt to my local retreat.  It’s like a large mug rug size or a small table runner size.

Really works with my round table.  I suppose I could go one more round out if I chose to do so, but I am keeping this the way it is!

Enjoy!

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7.4 Home Sewing Front – Spectra Quilt

July 18, 2010

So I started playing around with EQ7 this morning.  I have successfully read through the entire user’s manual (at Jiffy Lube, during lunch breaks, falling asleep). 

I wasn’t at the computer while reading, but I at least have heard of the terms used in the program a little bit at this point.

I thought I had a good handle on how to navigate EQ7, and considering my experience in photoshop, thought that the whole thing would be a piece of cake to navigate.

Well, it’s OK, and I don’t know if it’s just my lack of experience or what, but I have been taking longer than expected to handle the navigation of the program.

You put everything you want to do in your sketchbook before you use it.  And then you have to color everything.  I haven’t even figured out how to color a block and then put it into a quilt that way – all i’ve used on colors is preset color choices and then changing them to colors I want.  But what if I chose to keep some blocks different colors (or the same) than what the presets? 

I did a drawing with freedraw (or some name I don’t remember) and used Serendipity to make it kaleidoscope, but then I couldn’t put my new kaleidoscoped block into another block. 

I suppose if I export the block I may have the control I want, but the program said that it couldn’t do what I wanted to at the time.

And I didn’t notice that the coin quilt block was there, and I was having a hard time with making my spectra quilt until I just imported each spectra as a photo. 

 

I didn’t know how to make a coin quilt from the start because that option wasn’t a preset (although I have been told there are coin quilt blocks available, I haven’t done that yet).  The way I set up my spectrum quilt to get this picture is:

  • Vertical Strip Quilt
  • 1st Block 4.5 inches
  • 2nd Block 1.5 inches
  • 3rd Block 4.5 inches
  • with a 1.5 inch border

This size may make a nice table runner, my overall size is 19.5 X 34 inches which fits the space I have wonderfully.  I didn’t have a sashing option by doing a vertical strip quilt style, and since this is based on a photograph this was overcome by making the sashing strips the size of my inner ‘blocks’.

I was hoping for some more help in figuring out exactly how wide each spectra would have to be, but I did the math and a little Dimensional Analysis (yes science, math and chemistry practice has come in handy here!) and played around with my quilt size to make the math easier and I have a lovely start on my spectra quilt – USING PHOTOSHOP. 

Sorry folks, but I had to go back to my old standby when I kept trying to zoom in farther and farther on my picture within the completed quilt and couldn’t get the thing to do what I wanted it to do.

 Having 10 years of playtime on photoshop probably made it easier to figure out how to get the program to behave better than a program I’ve had for a month and a half which I haven’t taken computer time to decipher yet.

To get the size of each bias bar accurately (which I am not doing by the way), I had to do the following photoshop steps:

  1. Set a grid up.  The grid is modified in Edit/Preferences/Guides,Grids&Slices.  I set up grids every 4 subdivisions every 4 pixels.  Using dots.
  2. Zoom in on my original picture far enough. 
  3. Pick some crazy colors 
  4. Set up the paintbrush tool to 1.0 pixel in size
  5. Each ‘dotted box’ I put a colored dot just along the side of the picture.
  6. Each 1 dot was green, every 5 dots was red.  Very tedious steps (5&6)
  7. Then I changed to a different color (blue) and every 2 red dots put a dot to the right (every 10 pixels)
  8. New color, every 20 pixels (two blue dots) put a dot (purple)
  9. New color, every 50 pixels (two and a half purple dots) put a dot (yellow).
  10. This made it easy to count the total number of pixels in each row, and gave me a fairly accurate idea of where in each row the colored lines were. 
  11. I had a total of 310 dots, so I made the length of the quilt 31 inches so that each inch would be 10 dots. 
  12. I really should go metric with the calculations from here, but no one sews a metric seam allowance.  If you feel the urge, I know that 2.54 centimeters = 1 inch, so you can do some more dimensional analysis to figure it out if you so choose.
  13. I put all these dots on a new layer in photoshop so I can move the layer around to each of the strips and ‘count’ where the lines are. 
  14. The strips are all about 1/10 or 1/5 of an inch finished, but I don’t have any bias tape makers that go that far, so I’ll have to get out my bias bars and use the thinnest one available. 
  15. I’ll approximate on the color values used for each color and perhaps vary the brightness at this point

This makes me happy that at least I am thinking about this project – AND I am using math – AND I am using dimensional analysis – something for which both chemistry and physics heavily prepared me.

But today, a sewing day, I worked more on my black and white quilt.  Black and white borders complete, sewed onto the quilt (measured heavily because of how I had to strip the setting trapeziods) and started on my ‘handdrawn celtic border corners’.  12 total.  1 down, 11 to go.

This, in no way, is a negative review of EQ7.  I haven’t discovered the possibilities yet on this. 

But it is a reflection that I need to use the things I can do with EQ7 and the things I can do with photoshop and put the talents together while I learn and play with the possibilities (and limitations) of both programs. 

I know people would like a podcast/review on EQ7, and I have to wait to know what is going on before doing so, but when I get to it, I’ll see if I can cook up something. 

It felt very nice to not only be creative today in the computer programs, but also very comfortable to be doing the math that I’ve been avoiding unnecessarily.  Incredible how odd that feels to say, but so very true.

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4.9 Podcast 11 – Lets Picnik with Pi

March 14, 2010

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I am shortening this original idea from two websites to just one this podcast.  After I took all the screen shots from one website, I knew I had enough material to cover in one podcast by itself.  So we’ll do a picnik with pi instead of a picnik with pixlr pi.

With Pi Day right around the corner, I thought it would be a good time for a Pi Quilt.  One of my newer listeners e-mailed me with a great idea for a pi quilt.

  

What is Pi?

Pi is just a number.  Usually denoted with the greek letter for our english P. (written in english as pi)

 

Image courtesy Wikipedia

Pi is the wonderfully important mathematical relationship between a circumference of a circle compared to the diameter of that circle.  A mathematical ratio.

 

Image courtesy Wikipedia

Take the circumference (perimeter, measure along the outside) and divide by the diameter (width across the largest part of the circle) and you get this wonderfully irrational, transcendental number. 

Which approximates to 3.14159 ….

We can’t exactly find pi because the number doesn’t stop.  There have been geek contests to see who can recite by memory the most digits to pi, which the record is somewhere in the tens of fifty thousands at this point. 

There is a nice relationship between a circle’s area and pi.  The area of a circle is the value of Pi times the radius squared.

 

Image courtesy Wikipedia

Which may be useful if you’re wanting to calculate  the exact area of drunkard’s path blocks used in a quilt. 

But because fabric isn’t purchased in circular amounts, it may be best to know the diameter of each circle you need and find out how many circles you can get from this value instead of relying on the area of the circle.

  

What is Pi Day?

Pi Day was invented by the San Francisco Exploratorium to help promote the mathematical concept of Pi and mathematics in general.

Pi Day is celebrated on March 14, (03/14 in the United States) and it also happens to be Einstein’sbirthday!

We love to make pies on pi day. (Okay I usually don’t make them, but other people do.)

Look at this pi pie plate.  Image by Wikipedia

Or look at this pi pie.  Image by Wikipedia

  

Could we make a Pi quilt to take on a Picnik?

Using an idea by listener Lynn through e-mail, I recreated a pi quilt design using the online computer program Pixlr.

My original idea was to do a Pixlr and Flickr tutorial when talking about pi, but then i discovered Picnik through Flickr and by the time I got screenshots of Picnik I had more than enough for one podcast!

So instead you get a Pi quilt created in Pixlr and a tutorial on Picnik.  Picnik with Pi. 

Here is my Pi quilt idea.

As you can see this quilt has different (monotone) lengths of bars representing the different numbers of pi. 

I would love to embroider (or quilt) in between the information about Pi and Pi day so that people know what they are looking at. 

This uses length to impart information instead of color like my DNA quilt idea.

Which is what Lynn suggested for pi day because she saw somewhere an artist was doing this. 

For the color I went with monotone, alternating a dark and light color for each digit.  You could assign different colors to the different numbers if you wanted to.

I did have to break up some larger numbers when I hit the edge of my quilt.  This design would be using fairly large strips of fabric, but you could always reduce the square sizes.

 

Okay we have pi, now lets take a picnik!

I started looking at the image editing functions using Flickr.  I decided to make a tutorial about a few of the features of Picnik by way of Flickr

If you have a Flickr account, you can log in and follow along and see how to modify your pictures.

If you’ve never used flickr before one way to upload photos after you’ve signed in is to go to the You tab and click on upload photos.

You find the image on your computer.  Then you decide if you are making private or public photos and click on the button to upload.  Don’t forget to add a description if you want.

To get to Picnik through Flickr, you click on the edit photo button at the top.

Then you are taken to the picnik main page.  I noticed right away you can zoom in and out using the bottom right hand side.

On the top there are tabs of edit and create.  Looking at the edit tab first, we can examine some of the color and basic options here.

If the picture is not straight you can rotate. You can also flip.  I would think the flip could be useful if you had your own patterns which you needed the reverse for applique or transferring to fabric for embroidery or quilt markings.

NO stealing and posting other people’s patterns up on flickr.  No fair.  Do your own.  Delete or set to private for only you.  Read other artist’s comments about what you can do with their patterns before you try this.

The exposure button would be useful to get the right contrast.  If you click on the advanced tab you get a histogram on the right that shows you how much of each color value (light or dark) is in the photo and you can play around with these sliders as you would do with levels in a photo editing software like Photoshop.

Moving to the create tab you see a menu of different items to the left that you can play around with.  The green bars on the menu items on the left are expandable and show many effects. 

Anything that you don’t have access to due to premium status will say premium.  But there is plenty to do for free!

Just below the create tab are smaller tabs.  Clicking on the effects tab, one of the first things is black and white photos.  Now I discussed black and white photos using Photoshop in this post/podcast.

What I really like is you can do the splash of color by clicking on the little brush symbol on the bottom and brush away the black and white.

Another thing you can do is draw on your picture.  I used the doodle effect and then chose the difference mode. 

This should (in theory) give me the exact opposite of what I have.  So a dark blue becomes a light yellow, which makes sense if you look at a color wheel. 

I drew on the corner of my image and created instant contrasting colors and can see how they look together. 

One thing about doodle is if you don’t use a mode it is just solid color, which looks slightly odd next to fabric. But if you want solid color, that’s the way to go!

Scrolling down effects, then clicking on the sandbox gives me more options.  Like hexagons!  I could do my own grandmother’s flower garden quilt without the flowers!

And since I am a sucker for effects this is the ripple effect which I created equally sized waves along my picture, which gives a block effect.  I don’t know what this is useful for, but it is soo cool!

Moving to the next mini tab is the Text effects.  You type in your text in the left side, choose your color of text on the right side, and scroll down on the left to choose your font.  One sad thing about Pi is they don’t have the greek symbol font here.  😦

The next mini tab is stickers.  I chose a geometric square that had yellow color without choosing difference or hard light or anything like that.  You can see the solid color is distracting.

No half square triangles here though.  But they do have equilateral triangles so we can create flying geese units. 

In the last mini tab is frames, which could be very useful to figure out borders.  It doesn’t look like you can do multicolored or pieced borders, but for basic color you can get two borders with different thicknesses. 

This could be useful for uploading a completed quilt and could give a good idea of where to go with borders (basic colors and sizes).

Before leaving picnik if you like your changes to your photo you should save (top right of the web page).  When you do, it doesn’t overwrite your original image, and you only have that option if you have the premium version.

Later I discovered that you can go to Picnik’s site directly and upload photos from flickr, Facebook, Photobucket – all sorts of photo hosting sites.  You can also download to all those places as well.

 

What about a giveaway?

I mentioned something about a giveaway in my preview post.  Since I was already on flickr I set up a flickr group that is open to the public.

I have been thinking about my strength and rather than go science/math with this group, I thought I’d make a flickr group with the focus on computer aided design of quilts. 

The giveaway has to do with the Scientific Quilter Computer Design group on flickr. 

What is the prize?

A charm pack of Moda fabric.

I won it recently at a mini quilting retreat.  As you may be able to tell this isn’t the fabric I gravitate towards.  Although I need to expand my tastes, I know this will never get used if it stays in my house.

Here are a few more pictures (edited for color & exposure with picnik):

How do you win?

I am going to draw up a spreadsheet on google docs to help me organize this.  I am going to try a point system to give people multiple ways to win.  Hopefully this will not make my brain completely explode!

Each point is one name in the drawing.  How do you earn points?

Either

  • Sign up for the scientific quilter flickr group (http://www.flickr.com/groups/sciquiltdesign/) – 1 point
  • Comment on this post – 1 point
  • Send me an e-mail with the word Moda in the subject line (to scientificquilter (at) gmail (dot) com) – 1 point
  • Tell someone about quilting podcasts in general – 1 point

 

  • Comment on this post and mention something about pi (or math) not already discussed in the post or podcast – 3 points
  • Send an e-mail with a new show idea (this has to be a new e-mail starting from today) – 3 points
  • Blog about this post and put a direct link to your specific post in the comment section of THIS post – 3 points
  • Blog about pi day and put a direct link to your specific post in the comment section of THIS post – 3 points

 

  • Bake a pie for pi day and post the picture up in the flickr group – 5 points
  • Sign up for the group and post a picture in the group of a quilt that you designed by a computer program. (this could be using Illustrator, Photoshop, Paint, Pixlr, Flickr/Picnik, ArtoPic, Electric Quilt … others) – 5 points
  • Send any of the pictures mentioned above to me by e-mail – 5 points

 

  • Start your own NEW podcast and tell me about it (this has to be posted to iTunes by the deadline or close to the deadline) – 10 points

 

When is the deadline?

This is going out later than I wanted, so I’ll extend the deadline to Saturday April 10th  at midnight (US) central time.

Someone to highlight

Allyson at Guilding the Silly has an awesome periodic table knitted shawl that she created. 

She also made an awesome hat that has EKG patterns on it.

But I also particularly like the Möbius scarf of hers.

Thanks for waiting so long Allyson!

 

Something fun

  • For Pi Day, maybe you want to take the Pi Day Challenge?  I haven’t explored this, but feel free to try it out!

 

One More Thought (or two or three)

Oh yeah, I am planning on taking a fractal class from Quilt University.  Classes start on April 16.  It will be my first online quilt class, but I am excited about the topic – and hope to report my progress in the form of podcasting.  Send me an e-mail if you plan to join me!

Rachel is doing her own genome quilt on her site.  Check it out!

Check out the Carbon Quilt Initiative if you want to help out Adam and spread the word about carbon dioxide.

Jean at the Quilted Cupcake inspired the way I did the giveaway today!

Suz found a good tutorial for navigating the DNA website I had trouble with last podcast.

Thanks all!

Thanks to all the commenters on the DNA post and all the support when I was very frustrated with myself.  So far March is going much better than February.

Reeze, Allison, Colleen, Suz, Janet, Robyn, Brye, Rachel, Marceli, Sandi

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3.3 Podcast 7 Fun with Fibonacci

January 3, 2010

  

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A wonderfully simple, but visually pleasing mathematical topic is called the Fibonacci sequence.  

 What is the Fibonacci sequence?  

 Before you go running off to Wikipedia to find out (it’s somewhat scary – I’m warning you), let me explain Fibonacci here first.  

 The Fibonacci sequence is a series that can continue on forever (something to occupy your kids of school age for a period of time that can add multiple digits – challenge them to find the first 20 or 30 Fibonacci numbers and they’ll stay occupied for a while to give you sewing time).   

  1. You start with the number 1 and the other number 1. 
  2. Then you add the two numbers together: 1 + 1 = 2
  3. Then you add the last two numbers together: 1 + 2 = 3
  4. Then you add the last two numbers together: 2 + 3 = 5
  5. …   3 + 5 = 8
  6. …   5 + 8 = 13
  7. …   and so on … the numbers 1, 1, 2, 3, 5, 8, 13 …. are the first numbers in the Fibonacci sequence

Personal Fibonacci influences 

Where did I first learn about the Fibonacci sequence?  Square One Television 

 Square One was an educational television program in the late 80’s that helped kids learn math.  There were several other shows that held my interest at this time such as:  Mr Wizard, Where in the World is Carmen Sandiego, Braingames (on HBO), Encyclopedia (also on HBO), which focused on science, geography, brain puzzles, and vocabulary respectively.  

 On Square One, at the end of every episode there was a segment called ‘Mathnet’.  On Dragnet Mathnet, they were detectives that used math to solve crimes, and on one episode (series of episodes) there was a parrot that kept saying “1, 1, 2, 3, 5, eureka”.  It was the Fibonacci parrot.  Listen to the episode to hear my rendition of the parrot and some songs that I sing wonderfully that I embarrass myself for the sake of math.  

Fibonacci in Quilting  

The best example of a Fibonacci quilt that I found was on the blog Christina Creating  

Fibonacci quilt from Christina at Christina Creating

The colors, the contrast, the borders and the binding are just incredibly wonderful in this quilt!  Its informational, educational, visually appealing, square, AND well received by the recipients!  She talks about the process in her favorite quilt post.  No wonder it’s one of her favorite quilts!

Because I missed it the first time, here is a direct quote from Christina Creating about the inspiration for the quilt that she made:            

“I got the idea from the article “Pythagorean Tree” by Diana Venters in AQS’s American Quilter: Ultimate Projects (vol XIX, no 5, 2003).”  I have not been quilting all that long, so do not have access to that article (without going to the library I would guess they may have it).  If you’re into mathematical quilting, look up Diana Venters.            

Inspired by christina’s quilt, I played around in Photoshop a little bit and got a rough draft of a few quilts (or quilt block).  I turned on the grid to help with lining up in Photoshop (go to view / show / grid) 

 

Then I added several of these blocks together and changed some of the colors  

What an easy baby quilt idea this could be?  You could sew strips together of the different colors and just cut and sew them fairly easily. 

Here is the edges of the Fibonacci that shows the grid created by this quilt.  Maybe this would be good fabric pattern? (or not?) 

 

If instead of doing strips, you could do squares of each type.  This is (my) monochromatic version of the painting on the Square One / Mathnet parrot episode. 

You could also use the Fibonacci sequence to find visually pleasing border widths.  If you are stuck on several borders and knowing what widths to use for these, try Fibonacci numbers. 

For example, have a 1 inch border next to a 2 inch border next to a 3 inch border.  Or try a 2 inch border next a 5 inch border or a 1 inch border near an 8 inch border.  

I found a few other mathematical quilting sites along the road              

Including a challenge for mathematics quilts from 2006.         

 

Fibonacci in Nature 

Not all Fibonacci is straight lines and architecture.  Naturally you find Fibonacci in sunflowers.  I am NOT going to count them, but supposedly there are Fibonacci numbers of 34 and 55 on the following sunflower. 

 

 When you stop and look at things that you don’t normally pay attention to, you can find some unusual ideas, depending on how deep you actually look.  After mentioning Fibonacci and doing some Wikipedia research, and seeing tons of sunflower pictures, I stopped in my tracks when cleaning one of my dishes (by hand) and saw the same type of pattern – a Fibonacci pattern on my dish!  Amazing!  Did they purposefully make 13 little “dents” in each spiral?     

 

A natural spiral found in sea shells is shown here with this Wikipedia drawing.  

And if you divide the Fibonacci numbers in this way you get the Golden Ratio, which is also visually pleasing: 

  • 5/3 = 1.5
  • 8/5 = 1.66
  • 13/8 = 1.6
  • … on and on … until you get 1.61

The golden Ratio gives you a visually appealing relationship of 1 on the short side and 1.61 on the long side – many greek architecture follows this golden ratio rule of design. 

Additional Resources

A very comprehensive study of the fibonacci sequence with many pictures and ideas 

Go to Craftster and spread the word there on the quilting podcast posts        

Quilting & Crafting Podcasts mentioned in this podcast 

If you’re mathematically brave, head to the Wikipedia sites on Fibonacci and golden ratio

Thanks to my commenters this week!        

Keep Experimenting!