Friday, August 22, 2014

The Yellow and White Model **

This continues on from 4/16/2014  "the latest seashell models"

The Mathematics --includes to 144 stitches, as in the yellow and white model.

The result (1)

Oh dear,  it looks a bit funny!   This time the top was stitched close to upper rows instead of to lower down.
Just goes to show what happens when one tries anything.  These models took days and days and days!  Sheer determination just to try to get a Pattern together.  When all of this is done, the Garden might get some attention.  But there is a lot more that's not yet published..........  I only get to electricity and Internet one or two days a week.  A nice motel is where I go;  sometimes to a friend's home,  or to library in town 20 km away from home.


Later Update    22/8/2014

The result (2):-

 This one looks much better!  It is stitched up quite differently, with a back stitch,   and not so close to the top,  easing down from the very top, padding as we go.


The same is done with a model which was a disaster back in 19/3/2012 in "On the trail of the fibonacci snail".  It had been impossible to sew up, being too bulky near the tip.
This new way of sewing it up from the tip down works well:-

Therefore the old post is being edited and improved.  It feels good when something better results.
The maths here are for 233 and 144 stitch rows!

The next photo of a real big old seashell has a similar form,  and I look forward to trying to make it.



Some People and the Models They Make **

I love the snail sculptures made by Mister Finch!

They sure have personality and attitude.

Mister Finch has no problem with making a  Pattern for a snail!
 His moths must be made of fur and velvet...she is called Oonagh.

He is on Facebook,  as I am too.
And Selvedge is on Facebook too.

I found the article in Selvedge Magazine of January 2013.....

I have requested permission to use these pics......hope it is ok.


The  following was found on Dr Ron Knott's famous Fibonacci website,  to do with Maths and Art.  This piece comes from  by Mathematicians Steve Plummer and Pat Ashforth.  I found it once but am unable to find it again.  I copied it using "control c"  and pasted using "control v",  but the images do not happen here.  You would have to go to original site to see images.
2/1/2014  I copied and printed and scanned the images for this post.

The knitted torus I have seen on Sarah-Marie Belcastro's

6. Dual Seven Colored Tori
Carolyn Yackel explains that the dual seven colored tori seen here (one knitted and one crocheted) “implies that a graph on a torus requires at most seven colors in order to color the vertices so that no vertices connected by an edge are the same color.”
7. Crochet Lorenz Manifold
The website for this project explains: “Dr. Hinke Osinga and Professor Bernd Krauskopf have turned the famous Lorenz equations that describe the nature of chaotic systems into a beautiful real-life object, by crocheting computer-generated instructions. Together all the stitches define a complicated surface, called the Lorenz manifold.”
8. Fibonacci Crochet
Many artists use the Fibonacci sequence to create art that is pleasing to the eye. Sculptural textile artist Sophie Buckleyexplored this, shown above, for her final degree show at school.
9. Hyperbolic Crochet Reef Project
There is no way that I could write this article without including the hyperbolic crochet reef project and the various spin-off projects that have come out of that. It was a mathematician who realized that crochet can be used to express hyperbolic math principles that weren’t easily understandable. The Wertheim Sisters, one of whom is an artist and the other a scientist, used these principles to develop the eco-awareness coral reef project, which has grown and grown and been showcased around the world. The image above comes from Helle Jorgensen, an artist who has been greatly inspired by the coral reef project.
There are many other mathematical artists who incorporate hyperbolic crochet into their work, which is not necessarily reefwork. In fact, hyperbolic crochet is probably the most popular type of math based crochet. Consider, for example, this hyperbolic flower blossom by Gabriele Meyer:
10. Variations on Hyperbolic Crochet
Other artists have taken the basic idea of hyperbolic crochet and expanded on it. For example, freelance artist Mickey Shaw-Hubbard says of the hyperbolic mushroom forest shown above: “This crocheted fiber soft sculpture installation is based on non-Euclidean geometry. It represents a variation of the hyperbolic plane ruffle effect.”



Please also see the work of Dr Daina Taimina who has her own blogspot,  and one called hyperbolic-crochet.  Many of these people are on Facebook.
The Sydney Hyperbolic Crochet Reef  has websites and Facebook too, I think.
The Wertheim Sisters have a website for The Institute for Figuring.

Please see  for more crocheted models of many kinds.   Also wordpress... I am glad that this website also mentions biomathcraft and has images of some seashells.


Tom Bass Sculpture School,  Sydney.

my first try to embed a post.....28/10/2014
It did not work.  There was a sculpture of a huge intricate seashell.


28/12/2014 more:-

These bunches of flowers were made by me!
 Instructions were given in post Heteronympha 24/6/2010.  1 ply wool.
You can make 1 ply wool by unplying 5 or 8 ply ball of wool.  More delicate.


Happy New Year 2/1/2015
As a gift I have gone back to 2010 to copy the Knitting Pattern for these flower bunches.  

What if I made short stitches, more rows, but tighter?

ie 1, then 2, then 3, then 5.

Here it is, knitted. It's a bit tricky, because it does matter if you knit into the front or back of the stitch. You need to play with it to get it right.

It looks like a tubular flower. Just sew it together, and make yellow stamens etc for inside, add green stem and leaves.
The plain side can be inside or outside the flower.

So a whole corsage was made, to give as a gift to a dear friend on her 60th birthday, Hello Jan!

Here are the instructions to knit these flowers:-
Cast on 23 stitches in a pretty colour.
knit 2 together twice, knit one; continue to end of row in this pattern, makes 15 stitches; turn.
purl 2 together, purl 1; repeat till end of row, makes 10 stitches; turn.
knit 2 together, 5 times, makes 5 stitches,
break thread and tie on green thread, ot wool.
purl 2 tog, twice, purl 1, makes 3 stitches
knit 2 tog, knit 1, makes 2 stitches
purl 2 tog, makes 1.
Continue on making some chains to make the stem.
make a leaf by knitting 5, then 3, then2, then 1, then add it to stem, knitting both together, and doing some more chains to lengthen stem,
Finish off. Sew flower part together in colour. Sew green sepal part together.

Make more of these and have a bunch of pretty flowers.
I used number 12 knitting needles and 1 or 2 ply fine tapestry wool (English, Applemore)
but you can use any yarn at all.
You could crochet them also, I guess, working from 1 stitch and reading the pattern backwards, increasing, crochet 2  x in the stitch, etc as above,
to get 5, 10, 15, 23.

I do hope this pattern is OK to understand.  I actually had to fix mistake today.  I had 23 as 25.
(It is Fibonacci again, ie, 1, 2, 3, 5.  but only at base of petals.)
What if you could make a larger petal,  eg from 53 to 35 to 23 to15 to10 to 5,  by the above k2tog, k1 in the first rows etc. Then 5 to 3 to 2 to 1 in the green.

Or do it 30 to 20 to 10 to 5 by knitting two together each row... then 5 to 3,2,1?  Would this work?
I have not tried this yet.
 Actually I should go back and redo the knitted item just to check that the instructions are ok!


The Fibonacci Conch

By ROGER YEH @ PTC | Published: DECEMBER 1, 2011


The image did not copy but you can copy the web and paste it on your browser, or just type it in.
Highlight text,  press control and c  to copy,  and press control and v to paste.
Nice equations1  They use Math Cad  to create conch shape.