August 2006 Challenge: Mathematical Concepts for Quilt Designing! (Page 1)

"Design a quilt that is an example of a math concept. You might like to do a search on the Internet for inspiration. Look for Diana Venters and Elaine Krajenke Ellison, who have written books about Mathematical Quilts: No Sewing Required. I'm sure you'll find some fun and very interesting things to design! If you're not very math oriented, ask your kids for some buzz words." - Barb Vlack

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Quilt 1	Quilt 2	Quilt 3	Quilt 4
Barb Vlack "Phi"-bonacci	Barb Vlack Mrs. Perkins #9	Linda Erickson Fibonacci Rectangles	Angie Padilla Whirls
Designed for clubEQ August, 2006, challenge: Mathematical Concepts for Quilt Designing. The irregular grid quilt layout from the EQ5 Layout Library > 2 Basics by Style > Irregular Grids was resized to fit the Fibonacci series (1,1,2,3,5). The size of the large border also fits into the series, since it is 8". When I read "The DaVinci Code, " I learned the value of "phi," which is 1.618. It's the number used to determine proportions based on the Golden Ratio. The concept is valuable to me in quilt designing. St. Charles, Illinois USA	I used the Mrs. Perkins Quilt Dissection #9 block as the base for this quilt layout. Four blocks set on Layer 1 and rotated became the guide for the block layout on Layer 2. It was a challenge to find blocks that coordinated with each other in this layout. Designed for the clubEQ August, 2006, challenge, Mathematical Concepts for Quilt Designing. St. Charles, Illinois USA	Started with Irregular Grids layout #2 to make a quilt with 24 fibonacci rectangles. Each Fibonacci rectangle is composed of squares of 1", 2", 3", 5", 8" and 13". Albuquerque, NM	The block in this quilt is based on nestled hexagons, colored to form spirals and rotated 90 degrees. The same block is repeated in the border, but with a different coloring. Although a sprial block based on the Golden Rectangle gives smoother curves, this one allows for foundation piecing as a whole block, without having to divide it into sections. Best viewed with patch and block lines turned off.

Quilt 5	Quilt 6	Quilt 7	Quilt 8
Angie Padilla Basic Arithmetic	Audrey Smith Pi... Well almost x 2	Audrey Smith 99	Barbara Gilstad Leafy Fraction Circles
In 1971, Nicaragua issued 10 postal stamps under the title "Mathematical Equations Which Changed the World." The contributions of Maxwell, Boltzmann, Newton, Pythagoras, and Archimedes, among others, were commemorated through these stamps. My favorite was #9, of course... "Using Fingers to Count". I've gotten dizzy from all the theories, theorems, proofs, and equations I have been studying to work on this challenge. After all is said and done... I think I'll stick with this proven method!	Pi was another fascination Archimedes's method for approximating the value of pi. (Source) The approximate area of the circle lies between the areas of the circumscribed and the inscribed hexagons.	A simple idea I know but my first memory of 'Maths' was sitting in the classroom reciting my tables and the 9x was always my favourite.	How could learning about fractions of circles be made more fun? Designed especially for this month's challenge by Barbara Gilstad

Quilt 9	Quilt 10	Quilt 11	Quilt 12
Linda Erickson Sierpinski Triangles	Carol Baldry Behold! Pythagoras Proven	Carol Baldry Fibonacci Revisited	Celia Norman Pythagoras
Along with a traditional center star block and some striped blocks, this quilt has 8 Sierpinski triangle blocks of 2 different levels of complexity. The center traingles are 1st level and the surrounding ones are the next level of complexity with triangles within triangles. Albuquerque, NM	This figure is used to prove the Pythagorean Theorem in Geometry. The small square is 1 inch on a side. The triangles are 3in, 4in, and 5in. This is extremely difficult to draw on graph paper. Davenport, IA	Quilt block was made by using the Fibonacci Series (1,1,2,3,5,8,13,...) divided by 4 to determine the width of the bands. This quilt was designed in EQ4. I believe it would be easier in EQ5. I did make this quilt for my classroom. Unfortunately, it sprouted wings and disappeared. Davenport, IA	Pythagoras's theorem states: "In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides." This the first theorem that I remember learning to prove when I was 12: almost 50 years ago. The block drawing is made up of a right angled triangle in the ratio 3:4:5 and the squares on each side, repeated 8 times, rotated and flipped. Canmore, Alberta

Quilt 13	Quilt 14	Quilt 15	Quilt 16
Cheryl Brown Florida Sine Curve	Cheryl Brown Triggerfish Trigonometry	Claudia Chang Tangram	Danka Kruszewska Savannah of Rhinos - Logarithmic Grid
This is the only geometry we do at the beach. Tampa, Florida	Fish forming a sine curve. Tampa, Florida	Taiwan	Riegelsberg, Germany

Quilt 17	Quilt 18	Quilt 19	Quilt 20
Danka Kruszewska Section Aurea	Daphne Stewart Who Do We Appreciate?	Daphne Stewart Fibonacci Tutorial	Denise Smart Mobius Strip (A Bargello Loop Quilt)
Golden Ratio or Fibonacci Sequence of Log Cabins Riegelsber, Germany	I played around with perspective for this challenge and came up with a quilt that looked very much like the chute that carried Mr. Spock's coffin into space. Too weird! If you're not familiar with the Star Trek movies, you won't understand that comparison; pardon me. This quilt illustrates mathematical progression. The font is Kelmscott. The plaid is from Classic Cottons. Sunnyside, Washington	This quilt design shows Fibonacci numbers simplified: zero plus one is one, one plus one is two, one plus two is three ... Sing along to the tune from the Hans Christian Andersen movie. The quilt, drawn with 5"x8" blocks for layout ease, has a block with plain squares; one features a diamond in the square; another has the drunkard's path in four sizes; and the last has a variation on the shoo fly. For sewing, I would enlarge the quilt -- only the very brave or the very foolish would try to sew a 1" drunkard's path block. The numbers are Kelmscott font from the recent group drawing exercise. Sunnyside, Washington	This looks much nicer made up as a quilt than it shows in the picture. The bottom half of the quilt is a mirror image of the top. Create a strip set of 20 colors. Sew the edges of the strip set together into a loop. Cut the loop in peices. Rotate the loop up or down. Pick out one seam to lay the loop flat. Sew the loops together. Done. My tribute to the mobius strip. Plano TX

Quilt 21	Quilt 22	Quilt 23	Quilt 24
Donna Fisher Bhaskara's Pythagorean Proof Quilt	Donna Fisher Tanagram Puzzle Quilt	D. Katherine Willis Geometrically Morphing Circle	Dorothy L. Celestial Flashcard Quild
Bhaskara's proof made into quilt blocks to create interlocking pinwheels. Same color areas represent the proof: A squared plus B squared equals C squared. Tallahassee, FL	Seven shapes form a square. Different colorings gave dramatically different results for this block. So did the symmetry tool. Tallahassee, FL	An original block was created with Patch Draw and superimposed onto a Custom layout. The rainbow effect was achieved using the Custom Coloring function. Houston, Texas, USA	Since basic arithmatic is about the extent of my mathmatics ability, I went with that. I've been helping my daughter using flashcards, so that was my inspiration.

Quilt 25	Quilt 26	Quilt 27	Quilt 28
Elaine Schooley And you thought math was only numbers!	Elaine Schooley East wind fractal	Femke Keijzer Fibonacci2	Femke Keijzer Fibonacci1
The simplest fractals are constructed by iteration. Special effects number 4 layout holds a simple fractal repetion of shapes of various sizes using Self-Similarity. Fractals become very elaborate in nature. To really see the repetition you will need to look at the large quilt. Liberal, Kansas	This simple fractal begins with a colored triangle which is repeated getting infinitely smaller. I used an irregular grid to display the simple fractals. Liberal, Kansas	The Netherlands	I designed this quilt over a year ago and started making it. One day I layed out the blocks I made so far and what I saw I liked better. Fibonacci 2 was born. The top is ready now. The Netherlands

Quilt 29	Quilt 30	Quilt 31	Quilt 32
Grace Blanchard Fibonacci x 4 quilt	Grace Blanchard Logarithmic spirals	Hélène Golden bird	Hélène Meli-melo's Fibonacci
		Hello! I started with the pentagon (geometrical figure related to the golden number) and designed the pentagonal drawing. My nieces came to visit me and we played a lot with colors and shapes. So finally this is the quilt that looks like a strange bird (I changed sliglthly the colors...). All the triangles are golden triangles (side/base=phi). I ued a bicolor border to recall the perspective found in the painting of the Renaissance Age. Clermont-Ferrand, France	I found on Wikipedia website "A tiling with squares whose sides are successive Fibonacci numbers in length" in the section "Fibonacci number". I used it for a quilt and in each Fibonacci's square I used variegated colors. The initial 1 and 1 numbers are in yellow and blue (primary colors with the red used in the square 2). I finished with a border that I designed with waves to break the squares. I think that this is a quilt that I would do, just have to find the right fabrics!!!! Cheers. Clermont-Ferrand, France

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