August 2006 Challenge: Mathematical Concepts for Quilt Designing! (Page 3)

Quilt 65

Quilt 66

Quilt 67

Quilt 68

M. Busby
Miquel's Pentagram

Marje Rhine
Heptiamond

Nancy Anderson
Golden Rectangles

Nancy Anderson
Pinwheel -Fibonacci adaption

"A heptiamond is a figure made of seven equilateral triangles joined edge to edge. There are 24 such figures, not distinguishing reflections and rotations."

I won't (can't) explain what this is all about but I was facinated at what I found on these and other similar websites. Go see for yourself. One of the diagrams suggested this quilt to me.

PS: this was a bear to draft. If you want to make this quilt cut the triangle out of the EasyDraw block included in the project file and paper-piece it.

Damascus, OR

It is a long time since I was at School so I was puzzled as to how to proceed until I remembered playing with the Mathematical Curiosities article by Helen Gregory in QNM #362 (May 2004). So I looked again at these and tried to design something similar. This one is based on golden rectangles highlighting the black fabric.

Double pinwheel whirl redrafted based on fibonacci numbers set in a background of Fibonacci processions.
I remembered playing with the Mathematical Curiosities article by Helen Gregory in QNM #362 (May 2004). So I looked again at these and tried to design something similar.

Quilt 69

Quilt 70

Quilt 71

Quilt 72

Mary E. Osmialowski
One + One = Two

Mary E. Osmialowski
Two + Two = Four

Patti Anderson
Fibonacci Star Swirl

Patti Anderson
Fibonacci Ripples I

I have never been very good at math, so this month's challenge really stumped me. All that came to mind, was a simple math problem...1+1=2. I checked the internet to find out just what Mathematical Concepts for Quilt Designing was. I found the books suggested, but became even more confused... (remember... I'm not a math whiz)

I decided to go with my 1+1=2 idea. The question was...How do I work this into a quilt? I played with many different pieced blocks, before coming up with the "simple" concept of using the applique blocks in EQ. "Simple Sells" kept ringing in my brain.

The resulting quilt above, is what I came up with. Very "Simple!"

Ohio

After tackling the question of how to make a quilt from 1+1=2...coming up with a quilt for 2+2=4 was easy.

Another Very "Simple" quilt!

Ohio

Placed my Fibonacci Quarter block in the Eight Point Star Layout. It gives the illusion of a swirl in the star -- cool effect!

West Virginia, USA

Used the Fibonacci Full block in an on point setting, now it looks like ripples!

West Virginia, USA

Quilt 73

Quilt 74

Quilt 75

Quilt 76

Rory Kirby
Six-to-One Squares

Rory Kirby
Celestial Geometry

Ruth Rocker
Making a Bee Line Towards Infinity

Sheila Williams
Hexogon with Triangles

The quilt was developed as a single square. The horizontal and vertical lines were spaced to create successive folded back squares in the sequence 1, 6, 2, 5, 3, 4. The squares were formed in the two main diagonals ; the construction lines were adjusted diagonally or removed to create the finished design, respecting the underlying structure imposed by the squares. The coloring was chosen to highlight the squares.

Victoria, BC, Canada

This quilt is the same design as the first, with the squares colored symetrically, but the rest of the pieces are randomly colored.

Victoria, BC, Canada

Math isn't my strong suit, so I asked my math-inclined hubby what math concept to illustrate. The first thing he said was infinity and this is what I came up with. It's only one little block at the center with a TON of itty bitty borders. I can't look at this for too long or I get dizzy <LOL>.

Bevercreek, Ohio

I think this counts as a "Mathematical Quilts" and I even included a Tessellation.

A Student challenged me to create a Hexagon in EQ5 Using a Triangle.

In addition, she wanted to be able to use up all of the 2 1/2 Strips she had in her scrap bin.

Quilt 77

Quilt 78

Quilt 79

Quilt 80

Simonetta M. Orlando
Pitagora Tree

Sylvia Jones
The Conical Monocle!

Terrie Sandelin
Fractal Echoes

Terrie Sandelin
Inverted Fractals

Italy

Having taught Algebra for many years, one topic that was studied in depth was conic sections (slices of a cone). Depending where the cone is sliced, various shapes are formed (point, line, circle, parabola, ellipse, ot hyperbola). I tried to be as accurate as possible with graphing actual quadratic equations and transferring the shapes to EQ5. As I was placing them in the custom set, the ellipse appeared to be a nose and the circle, an eye, hence, the title just screamed out to me!

I also enjoyed creating my own "fabrics" from those conic section shapes.

I would NEVER make this quilt, but designing it sure was a lot of fun!

Youngstown, OH

Fort Collins, Colorado

These quilts are based on a famous fractal called the Sierpinski Triangle.

Fort Collins, Colorado

Quilt 81

Quilt 82

Quilt 83

Quilt 84

Tutu Haynes
Zulu Bead Patterns

Brenda Stultz
Radial Symmetry Wedding Ring

Sara Weber
(c) Icosidodecahedrons,
flat and round

Sara Weber
Homage to Escher

These are four traditional Zulu bead patterns.

I kept thinking about the parameters of the challenge and decided to play with radial symmetry using one of the "special" layouts from EQ. Not sure it really qualifies as radial, but it is symmetrical from the
center point.

Fairmount, IL

I'm always loved geometry and geometric solids. I had hoped to do a quilt with the five platonic solids (convex regular polyhedra - shapes made entirely of one shape, folded into 3-D, e.g. a cube), but I ran out of time...

Don't the flattened icosidodecahedrons have a lovely shape? It's a polyhedron with twenty triangular faces and twelve pentagonal faces, one of the Archimedean solids and a quasi-regular polyhedra.

South Bend, IN, USA

I've always adored M.C. Escher's work, since I was a young child, especially his tessellations.

The center (lizard) portion is build of hexagons, from a block I designed. The outer border is the "Whirlpool" block from the EQ library.

South Bend, IN, USA