to be continued...
Thursday, April 19, 2012
Tribute to TomBass
Monday, March 19, 2012
On the Trail of the Fibonacci Snail **
For the small snail it is white is 34, purple is 55, pink is 89.
***************************
Another one. I tried to make a pointy shell where the central colmn is 9 times taller than the mouth radius. It sewed nicely up to the middle and then was impossible: too bulky. So next time there will be a fine thread section. Yellow is 233, grey is 144:-
Update, Insert 22/8/2014
The previous model was a disaster.
There is a new way of sewing this up! And it looks heaps better. .......
Plus, the final row was added to, using 0.75 mm crochet hook -
a tighter row has the effect of gathering the loose shape into a neater edge.
Here we are!
1. loosely wrapping the shape to see how it might fit. Begin from the very tip down, back stitching so as to make a half turn of the piece much like a kind of Moebius strip, gradually stitching easing it down to make a wider top side edge, if you can understand what that means.....not easy to explain, sorry.
2. The inner side was originallymade thinner than the outer edge, but it was still too bulky.
This time the thin area at left hand side top is tightly stitched to the very tip in a spiral, then the space is increased between the top and bottom of the model's upper area..
4. This is mentioned in a later post- "the yellow and white model" of 22/8/2014.
Fixed at last, and looking more like a Real shell
**********************
Back to 19/3/2012:-
And then. I made another one with the finely knitted section ok, as shown.
But the collar was too wide! Next try will be more fine tuned. The lip edge of collar will be wide and the inner apex will be extremely narrow......plus somehow the long tab at the end wasn't needed.....
Addition 5/5/2013 The following shows there to be mistake in the Pattern.
The top outside of the shell is hard, while the internal spiral column might be paper thin.
Further work is shown in post of 5/5/2010
****************************************************
Friday, February 24, 2012
The Seashell Model for 2012 **.
Undaunted, one proceeds! I had so much trouble remembering how I did stuff last year that I determined to begin again; do another model from scratch. I think I overdid it a bit- the lip edge is too wide and the inner spiral section is too short:-
Image 2 reminds me of the ancient Vedic Paisley pattern!? One can check it out on Wikipedia.
Image 4 shows stitching top edge to middle of 89 row.
It felt peculiarly as if I were following a Moebius Strip!
See http/:www.mathworld.wolfram.com/moebius strip
**(I checked if you can click directly on to this, but, sorry, no. Search engine may work ok).
Images 7, 8 and 9 make me consider adding Time and Space to the Pattern..
While the leading edge is growing so too the entire shell is keeping pace, thus the "2" at beginning might become "5".
One wonders just how the living animal creates itself so mathematically exactly at atomic and subatomic levels no less! It is the Mantle which secretes the minerals which make a CaCo3 crystalline shell which is harder and finer than porcelaine, it seems to me.
Pearl shell, nacre, is aragonite.
See www.web.mit.edu/cortiz/www/Ben/BenPaperRevised
for nanoscale morphology and more.
Mind boggling and beautiful science from Dept of Mechanical Engineering, University of Colorado, Boulder. Sept 2005 J MaterRes Vol 20 No 9, pg 2403.
(PS I checked if you can click directly on this, but no. Search engine may work ok)
******************************
As for me- like Fagin, "I am reviewing the situation...... I think I better think it out again!"
I'll not publish a proper crochet or knitting pattern until it is just right.
******************************
Image 2 reminds me of the ancient Vedic Paisley pattern!? One can check it out on Wikipedia.
Image 4 shows stitching top edge to middle of 89 row.
It felt peculiarly as if I were following a Moebius Strip!
See http/:www.mathworld.wolfram.com/moebius strip
**(I checked if you can click directly on to this, but, sorry, no. Search engine may work ok).
Images 7, 8 and 9 make me consider adding Time and Space to the Pattern..
While the leading edge is growing so too the entire shell is keeping pace, thus the "2" at beginning might become "5".
One wonders just how the living animal creates itself so mathematically exactly at atomic and subatomic levels no less! It is the Mantle which secretes the minerals which make a CaCo3 crystalline shell which is harder and finer than porcelaine, it seems to me.
Pearl shell, nacre, is aragonite.
See www.web.mit.edu/cortiz/www/Ben/BenPaperRevised
for nanoscale morphology and more.
Mind boggling and beautiful science from Dept of Mechanical Engineering, University of Colorado, Boulder. Sept 2005 J MaterRes Vol 20 No 9, pg 2403.
(PS I checked if you can click directly on this, but no. Search engine may work ok)
******************************
As for me- like Fagin, "I am reviewing the situation...... I think I better think it out again!"
I'll not publish a proper crochet or knitting pattern until it is just right.
******************************
Now It's Getting Closer to the Real Thing! **
Images say it all:-
The tiny triangle at right top might be useful for helping to stitch the top of the whorl.
The top left hand corner, 34, sits halfway around the outside of the last 89 row and is stitched from the inside; quite tricky.
****************************
A skewed fibonacci hyperbolic fan shape.
*********************************************
Here next is the nicest little seashell model made last year. Knitted in 1 ply tapestry wool.
Cast on 34 stitches and work as per tiny diagram... Yellow is 89 stitches; 12 rows at lip edge, 8 rows in middle and 4 rows inner section...
The brown line is embroidered on. I wanted to try to duplicate the spiral stripe that goes up the tiny whelk like shells that you get in chook feed shell grit.
Images show model stitched from inside and from outside.
Still it is a far cry from an exact model. The intricate elegance of the top whorls still eludes me.
I think on the poem "Tree" by the soldier poet Joyce Kilmer:-
"I think that I shall never see
a poem lovely as a tree.....
Poems are made by fools like me
But only God can make a tree."
For me it reads
"Models are made by fools like me
But only God can make a real seashell."
**************************************************
Update 16th April 2014
I have promised to spell out the Crochet Pattern in response to a young lady's request after "A Proper Pattern" of 1/19/2012.
Please see the 1 page diagram to crochet 8 to 13, 13 to 21, 21 to 34, 34 to 55 and 55 to 89
on post of 2/1/2014. Here it is:- I think it is easy to understand whether you crochet or knit (tho sometimes one needs to knit from the top down....) You can figure out how to increase (work twice in same stitch) or decrease ( skip a loop for crochet or do a 2 half crochets and then pull the yarn thro both loops to make one. Or Knit 2 together to decrease.) I hope you can figure out how to make the models chiefly from the diagrams. I don't think I can bear to write it all out stitch by stitch!
Just experiment. You might make some good discoveries! Page 2 from 2/1/2014 post also runs to higher numbers. You might have good results if you make a Seashell with 377 or 610 stitches. I am planning to make some with spikes and bumps.
*************************Good Luck!****************
The X ray is drawn from Internet images. There are many online, eg www.sciencephoto.com/media/438998/v
The tiny triangle at right top might be useful for helping to stitch the top of the whorl.
The top left hand corner, 34, sits halfway around the outside of the last 89 row and is stitched from the inside; quite tricky.
****************************
A skewed fibonacci hyperbolic fan shape.
*********************************************
Here next is the nicest little seashell model made last year. Knitted in 1 ply tapestry wool.
Cast on 34 stitches and work as per tiny diagram... Yellow is 89 stitches; 12 rows at lip edge, 8 rows in middle and 4 rows inner section...
The brown line is embroidered on. I wanted to try to duplicate the spiral stripe that goes up the tiny whelk like shells that you get in chook feed shell grit.
Images show model stitched from inside and from outside.
Still it is a far cry from an exact model. The intricate elegance of the top whorls still eludes me.
I think on the poem "Tree" by the soldier poet Joyce Kilmer:-
"I think that I shall never see
a poem lovely as a tree.....
Poems are made by fools like me
But only God can make a tree."
For me it reads
"Models are made by fools like me
But only God can make a real seashell."
**************************************************
Update 16th April 2014
I have promised to spell out the Crochet Pattern in response to a young lady's request after "A Proper Pattern" of 1/19/2012.
Please see the 1 page diagram to crochet 8 to 13, 13 to 21, 21 to 34, 34 to 55 and 55 to 89
on post of 2/1/2014. Here it is:- I think it is easy to understand whether you crochet or knit (tho sometimes one needs to knit from the top down....) You can figure out how to increase (work twice in same stitch) or decrease ( skip a loop for crochet or do a 2 half crochets and then pull the yarn thro both loops to make one. Or Knit 2 together to decrease.) I hope you can figure out how to make the models chiefly from the diagrams. I don't think I can bear to write it all out stitch by stitch!
Just experiment. You might make some good discoveries! Page 2 from 2/1/2014 post also runs to higher numbers. You might have good results if you make a Seashell with 377 or 610 stitches. I am planning to make some with spikes and bumps.
*************************Good Luck!****************
Make some New Fibonacci Seashells.**
1. Here I repost the Pattern for crocheting the Fibonacci Series, from 2010.
The stitches are increased evenly along the row.
My favourite crochet stitch is half treble.
ie. wool around hook, hook into loop, wool around hook, pull wool through loop, wool around hook, pull through all three stitches.
note: Australians follow British and European terminology. American single crochet stitch equals British double crochet stitch.
My half treble would be half double crochet in America.
The unit pattern is crochet twice into three loops and then once into the fourth loop. 4 stitches become 7.
To make 12 or 13 stitches into 21, it is handy to make yourself a list of multiples of 12, ie, 12, 24, 36, 48, etc,
to keep track of the skip 13th stitch, when needed.
If one loses count, it is easy to track back how many loops are missed.....
Back in 2010 my seashells were made with the equation Fn = 2F(n-2) + F(n-3)
eg 89 = 2 x 34 + 21 etc. easy to increase stitches etc.
When you need to decrease, ie. make 89 into 55, you need to reverse the unit pattern.
Crochet once in loop, miss one loop; 3 times, crochet once in 4th loop. 7 stitches become 4.
Similarly, to make 21 become 13, do the unit pattern in reverse, then make an extra stitch in last loop.
If you wish to knit the model, you can work backwards.
You can make one or more plain rows between the increase rows, etc.
It is very much trial and error, as you can see by the following story.
You get to see what works best by making many kinds of variations until something succeeds.
Insert 20/5/2014 This might help you to knit or crochet a Pattern
See where you knit one or knit twice in the same stitch. Good luck.
This image shows what the seashell looks like inside. Very thin inner edge and thick opening area. This needs to be factored in to the Crochet or Knitting Pattern. Otherwise the inside can be too bulky.
****************************************************
2. Here is the very first model of this type that I made last year:-
I tried to create raised spots along the ridges, just like a real shell I bought at a local market stall.
Half was knit in wool and half was with fine sewing machine cotton.
Image 1 shows how a real shell looks inside. The column is wafer thin!
Image 2 shows this exactly! model is at half stage work, ie 89.
Image 3 shows what Image 2 looks like, flat out.
Image 4 has "top" sewn on; made separately. Corner is curled under to make spiral.
Image 5 is "under view". And it is back to front! It should be right hand spiral.
Easy to get it muddled up, especially when one tries to work Pattern backwards....
Image 6 shows how it should be done. In fact, it might be better if only one quarter of the model were to be worked in fine sewing machine cotton.
**********************************************
3. This next little knitted model is also back to front.
Actually if it were to be stitched up with the inside outside, then it would be correct, that is if you don't mind the inside being outside!
The opening lip is maybe too big, and one would have to adjust the way of making.
***********************************************
4. Here is a knit and a crochet model. The Pattern is evenly balanced both sides.
The stitches are increased evenly along the row.
ie. wool around hook, hook into loop, wool around hook, pull wool through loop, wool around hook, pull through all three stitches.
note: Australians follow British and European terminology. American single crochet stitch equals British double crochet stitch.
My half treble would be half double crochet in America.
The unit pattern is crochet twice into three loops and then once into the fourth loop. 4 stitches become 7.
To make 12 or 13 stitches into 21, it is handy to make yourself a list of multiples of 12, ie, 12, 24, 36, 48, etc,
to keep track of the skip 13th stitch, when needed.
If one loses count, it is easy to track back how many loops are missed.....
Back in 2010 my seashells were made with the equation Fn = 2F(n-2) + F(n-3)
eg 89 = 2 x 34 + 21 etc. easy to increase stitches etc.
When you need to decrease, ie. make 89 into 55, you need to reverse the unit pattern.
Crochet once in loop, miss one loop; 3 times, crochet once in 4th loop. 7 stitches become 4.
Similarly, to make 21 become 13, do the unit pattern in reverse, then make an extra stitch in last loop.
If you wish to knit the model, you can work backwards.
You can make one or more plain rows between the increase rows, etc.
It is very much trial and error, as you can see by the following story.
You get to see what works best by making many kinds of variations until something succeeds.
Insert 20/5/2014 This might help you to knit or crochet a Pattern
See where you knit one or knit twice in the same stitch. Good luck.
This image shows what the seashell looks like inside. Very thin inner edge and thick opening area. This needs to be factored in to the Crochet or Knitting Pattern. Otherwise the inside can be too bulky.
****************************************************
2. Here is the very first model of this type that I made last year:-
Half was knit in wool and half was with fine sewing machine cotton.
Image 1 shows how a real shell looks inside. The column is wafer thin!
Image 2 shows this exactly! model is at half stage work, ie 89.
Image 3 shows what Image 2 looks like, flat out.
Image 4 has "top" sewn on; made separately. Corner is curled under to make spiral.
Image 5 is "under view". And it is back to front! It should be right hand spiral.
Easy to get it muddled up, especially when one tries to work Pattern backwards....
Image 6 shows how it should be done. In fact, it might be better if only one quarter of the model were to be worked in fine sewing machine cotton.
**********************************************
3. This next little knitted model is also back to front.
Actually if it were to be stitched up with the inside outside, then it would be correct, that is if you don't mind the inside being outside!
***********************************************
4. Here is a knit and a crochet model. The Pattern is evenly balanced both sides.
The models are a bit bulky, sewed from outside. 144 gets to be difficult; 89 is easiest.
*************************************
5. This model looks rather weird. I actually forget how I made it- it was last year.
Maybe the brown was 233 and yellow was 144 and 89?
*******************************************
Thursday, January 19, 2012
A Proper Pattern for a Fibonacci Seashell **
Here is photo of completed model, crocheted with the right hand in one direction and with the left hand in the other direction, to make an even surface. Directions will soon be posted.
************************************************************
Insert 10/11/2015
Today I am repeating some data from posts subsequent to this one. You have to scroll upwards to newer posts. I am continually making repeat models, and have trouble remembering exactly how I do them. I am 70 years old.........all the clues are given....it is not good to spoon feed info to people.....better for folk to figure out for themselves!
To date there have been 898 ...pageviews of this post. Thus I am making eforts to explain it better.
the little point up top is not necessary.
it was just me trying to figure out the shape.
You can see it is complex. Three different areas vertically. Not easy to type up a normal crochet pattern. Sewing up I later stitch it from top right, outside face, in a spiral moving down so that it is a right hand spiral, with the wider opening on the right when you look at the underside of the model....
***************************
Update 16/4/2014
1. You might like "Instructions for Making a Model of a Seashell", given at the very beginning of this blog, plus a gallery of many different models, crocheted and knitted. 5/25/2010 or 25th May 2010.
The Pattern is in accordance with the Fibonacci Series of Numbers where .....8+13=21, 13+21=34, 21+34=55, 34+55=89. To work the Pattern we use 34=2x13+8, 55=2x21+13, 89=2x34+21 etc.
................................................................................................................
2. The Pattern for this new Seashell depicted in this post of 2012 here is completely different from the 2010 models. Here the basic Pattern is 4 stitches become 7 or 13 stitches become 21. The diagram explaining it is at "Crocheting the Vortex" 4/28/2011. I made the mistake of assuming that people were aware of this when I made this "A Proper Pattern" post.... click on image to enlarge it.
3. This present Seashell was first announced in "Time Flies" of 11/22/2011. Related posts were in 5/26/2011.
Then we have "A Proper Pattern" of 1/19/2012 (this one), "On the Trail of the Fibonacci Snail" of 3/19/2012 and "The Seashell Model" of 2/24/2012, especially visual instructions for making this present model in "Now it's Getting Closer to the Real Thing" of 2/24/2012, then some more work....trial and error...
4. See "Internal Structure of Seashells" of 5/4/2013 to understand the complexity of the shape.
Also "Real Seashells" of 5/4/2013, "The First 135 Fibonacci Numbers" of 5/4/2013 and "Diorama" of 1/31/2013
5. Most recent work is happening on "The Real Seashell Updating" of 2/3/2014 and "Adding Time and Space" of 2/1/2014 which gives another way of displaying the Pattern (an easier one) and it discusses variations. The most recent model, a black and white one is being attempted. It has some improvement in making the knob on top, but still it is not yet perfect: a work in progress 4/16/2014
It definitely is all a process of trying something and seeing what happens. You can use any kind of yarn you like, and any size needles or hook you choose. The UK/Australia vs USA have different gauges and different names for the stitches, and it is hard to spell it all out exactly.
********************************************
Adding, 5/6/2014
A new model as close as I can get to the "Proper Pattern" of this post has been made. Text for Pattern is being typed. I called the pilot model a "proper pattern" in the sense that it is more like the real thing than the models I originally made in 2010.
.
.................................................................................................
Insert 20/5/2014
The problem with a blog is that one reads backwards, that is , downwards. To access newer info one must scroll up dates on right hand side of top pages to see ongoing work. I noticed that I have worked on this model for two more posts immediately, and there I mentioned the differences in stitches for crochet in UK/Europe/Aust vs USA plus size needles and hooks differ. I am putting new tables to explain better how to increase and decrease Pattern to achieve Fibonacci series numbers used in this project.
PS see post 12/26/14 for "Information for US and UK Crocheters" for full data.
This above model here is too hard to write up. One needs to be able to crochet with left hand and right hand to have an even outer surface with no ridge. Plus the shops selling fine crochet cotton yarn---they no longer stock these, or have closed! Our world is becoming poorer in some ways....
-----------------------------------------------------------------
********************************************
There is a pattern online, Medium Seashell #1, by Ms S. Whitlock, 2007
See www.ravelry.com found under seashell images.
Also thanks to Michelle for another address:
http://sites.google.com/site/surawhit/mediumseashells
I had a go at crocheting her model, and I thank you, Susan. The bumps are really nice.
34 stitches max.
............................................................................
My friend Penny had a real seashell of the type, as above.
..................................
Insert 6/7/2015!******it has been made! a Pink Seashell Part 4
.................................................................................................................
More 3/4/2015:-
It is Easter time, and am making efforts to publish a nice easy Pattern for making a Seashell. Please see http://www.biomathcraft.blogspot.com/april2015. I hope this connects directly.......
No, it doesn't. You will need to scroll up in time index, above top right of blog.....
This is 8 cm tall and 4 cm wide.
-----------------------------------------------------------------------------------------
More: 22/9/2017
A Green Knitted kelp shell. easy increases, 4 stitches to 5 or 5 stitches to 4.
Pattern is given.
The green model is 366 stitches at max; the smaller shell models are 150 stitches at max.
Use steel knitting needles, size 12 or 14, or so.
Scroll up (top right hand side of page) to September 2017.
There is a post in 2017 with index to all work from the beginning, see at a glance.
--------------------------------------------
Subscribe to:
Posts (Atom)
