Friday, March 20, 2015

Seashell models**


This amazing image came from Facebook newsfeed from Nassim Haramein.  Most appropriate for my blog here!  I shall check up the origin.......asap.

There are six models that I am crocheting just now,  all tentative efforts, not yet finished.  Not perfected yet........ I shall publish as soon as it is to hand.

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Tuesday, March 10, 2015

The Seashell Models Continue.**

Here I try to imagine what the inside of the tall seashell looks like.  It still is not exact.  Thinner column inside.  Height is 3 or 5 times the width.  Tricky to make.

One observes with wonder that the mantle of the live creature inside does all the mathematical work exactly,  building up the calcium and proteins and coloured minerals via glands.  Is there a Nature Spirit or spiritual creator being at work every second in the life of this organism?
It is said that of even we human beings "we are more like flickering flames than lumps of meat" ....I need to find the right quote...  ***12/3/2015  I corrected some words,  and still have to find the author when I get back home.

**Is spirit and matter like a strobe light?
 Physics articles on Facebook feed indicate something like it.

aah---here is the article:-

truththeory.com
Nobel Prize winning physicists have proven beyond doubt that the physical world is one large sea of energy that flashes into and out of being in milliseconds, over and over again.
Via collective-evolution.com
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Also on YouTube  2:29:36   long video!  Mind Science Kept Hidden Doc.  We are Vibrational.  by Sirius Olmec

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My own diagram, above, was drawn and published previously.  The inside is shown to be paper thin.


This model above  has been published earlier in "A Proper Pattern"   which has had more than 500 pageviews already.  It is not a perfect crochet pattern yet,  the top is tricky;  working on it.
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Here are two new efforts,  just tentative ones.  I wondered what shape would come if one used the algorithm I discovered in 2010 to make the first seashell models...
 ie   Fn = 2Fn-2  +  Fn-3 of the Fibonacci Series.
 eg  ....  13=2x5 +3,  21=2x8 +5,  34=2x13 + 8,  55=2x2x21 +13,  89=2x34 +21,  144=2x55 + 34.  etc.

The top image (144 stitches crochet) is like a top shell.
The lower image (89 stitches crochet) is like a whelk.

The difference is the 2x side is one one side in one model,  and it is one the other side for the other,  ie  144= 2x 55 + 34   versus   89= 21 + 2x55.
The 2x  area of the Fibonacci fan skews the frilly edge one way or the other.
Also the thin central portion of the Fibonacci fan is accordingly placed.
Here the stiching up of each item is as recently determined =  nothing like the way it was done in 2010.

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I am working on 3 more different models,  not finished yet.  Very tricky.  One tries one way and it doesn't turn out quite as expected.  So one has to start again and again, experimenting.

There are 2 more permutations for the above algorithm equation,  
ie  144 = 17 + 2x55 + 17,   maybe this might become a bubble shell?  skew is in the middle.
or,,,,  34 = 2x13 +5 one row, turn,  55 = 2x21 + 13 next row, etc,  so the skew is even over piece.

Plus make a plain row between each increase row...
put stripe rows of a different colour in to designate particular rows...

Plus how much of the model needs to be paper thin in the middle?  1.2?  1/3?  1/4?

Then there is the usual algorithm I use 
 ie 4 crochet stitches make 7  which is adjusted to 13 makes 21 stitches

Plus the new,  for me,  algorithm  of 4 stitches into 5  ie crochet in 3 then 2x into 4th, making 5.  
My reckoning is that this fits the fibonacci series together with the half fibonacci series,  published earlier.  
Here one fibonacci number made into the next fibonacci number takes 2 rows' work 
 whereas the 13 to 21 algorithm does it in  one row.

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Meanwhile it is autumn and peaches (three trees full) are ripe. 
Making jam and preserves is all done now,  and I might just get around at last to focusing on these seashell models,  that is, if I don't get distracted by something else. 
 Summer has been terribly hot in my caravan-  34 degrees C  even up to 37,  39!  At least we have survived  - no bush fires this year in our region,  tho it has been fiendishly dry - no rain.




Gorgeous parrot.   Maybe a rainbow lorikeet,  but I do not know my bird names exactly.  Birds enjoy gnawing at fruit.  The Black Swamp Wallaby and maybe a fox have been feeding also.  Plenty for us all.  One has to collect up all the  fallen fruit and put into black plastic bags into a bin to compost and to kill any fruit fly.  Luckily only a few fruits have inside rotten brown with fruit fly this season.

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Wednesday, February 11, 2015

Auger Shell With Tall Spire, model making Continued...**.


A previous diagram, further detailed.  Pleas click on images to enlarge them.





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Mathematical Model for a Seashell with a Tall Spire.**


Two Augur Shells, each 90mm in length, above.
Tracing of ventral view of one shell, below.





A rough model for a theoretical auger shell.




















The cone is made.  Spiral is drawn up the sides.














Snip up the red line. flatten out.  This is the shape need for the top surface of seashell














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I am guessing at internal column of shell,  must be thinner than outer surface.














Measure the heights at each level of the sutures:-

Oh dear,  the blog won't allow more....to be continued......


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Monday, January 26, 2015

Fibonacci Ripples Merge into a Spiral**

This was posted early on in this blog.
Notice that the radius eg of circumference 34 units is almost 1/10 of the next number 55,  all the way along.

Please click on images to enlarge them.

Theoretical spiral made by merging the Fibonacci ripples above.

More work to follow, comparing this with the spire of a real seashell......
We can also try to project the lines up into a cone of varying heights........


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More work,  12/2/2015


Compare these, the theoretical, and the real.  Almost exactly the same.





Three short spired and one long spired seashells.
One can make mathematical models by projecting the merged spiral up into cones of varying heights.
=  next post!
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Conserving Cuba's Coral Reefs

Heron Island Coral Reef