Friday, January 29, 2016

Variation on Ripples, and 7920.


Outside is 12 x 12 = 144
with a plain row in between each increase crochet row.
Begin with 6 then make 12
Make 2x each of 12 loops, makes 24
1 plain row
Then crochet 1, crochet 2x in next loop, x 12  makes 36
1 plain row
Crochet 2, crochet 2x in next loop, times 12 makes 48
1plain row
Build up to 144 in same way....
12, 24, 36, 48, 60, 72, 84, 96, `108, 120, 132, 144.    ......24 rows  ETC.

Notice,  dark yarn marks end of row.  one stitch is white to begin new row due to shape of crochet loops.  Click on images to enlarge them.
If you use 3 ply baby wool and contrasting colours you get a good model  and not too costly if you want to make it really big,  just continuing the algorithm as above
My model would have looked better if a strong colour had been used rather than the variegated green.


It is the same if you increase  6 times each row,  ie   6, 12, 18, 21, 24, 30, 36,        even up to 600 or 792  or 7920....!
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Insert 31/1/2016
Please click on image to see it better.
Then right click to save, or download or print.

It is Pattern to make a 12 sided polygon of any size

1 plain row between each increase row.





















This is the simplest.
6 sided polygon.
no plain rows between each row.

Just for fun I input up to 7920......







There is another Variation
where  we begin with 12 sided polygon then make it to 24 sides polygon then 48 sides, then 96 sides....
half done ,  just needs working out widths to make it a flat circular shape......

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What is this about 7920?
Thanks to an article by Anthony Morris in the June/July 2015 issue of Nexus Magazine, on pages 51 to 55, +.   "The Numerical Universe",  7920 is featured as a number which turns up in the Universe in many ways.   eg.  the Diameter of the Earth is 7920 miles.  Glastonbury,  Stonehenge,  Giza Pyramid,  etc..    See www.newunderstandings.com

Cover shows an ancient Australian Aboriginal Stonehenge;  story is inside......


My interest is the Fibonacci Series.  Is there any connection with 7920?
Indeed     7920 = 144 x 55



Now I can make a new model of Ripples,
 for we  have an Equation
F(n) = 2F(n-2) + F(n-3)
so 7920 = (2 x 55) + 34,  all x 55
or  7920 = (2 x 21) + 13, all x 144.
I have made 2 Diagrams which describe 
the Pattern we use to crochet from 144 onwards....
to be added asap...

This is what it looks like:-  = to be continued....
The last green row is 288;      enough done;   
diagrams now posted 31/1 are to describe imaginary ripples.
The next increase would be 432 then 720,  etc......

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More 31/1/2016


What is this?   Knitting  of this set of numbers ....fine sewing machine cotton....numbers....to follow

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please click on image to enlarge it.
What is this?   A"vortex"  up to 7920 circumference,  sides 7920.
We made a model in  Dec 2015, dark green crochet, to 72 stitches.
This is 110 times bigger;  just for fun;  an imaginary form.
Nature might make shapes like this..........
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15/3/2016
More
I have been given permission to quote Mr Anthony Morris from his Nexus articles, mentioned above:-

Extracts, with permission  from author Anthony Morris,
 from  “The Numerical Universe”,  Order in Chaos. 
Published in Nexus Magazine JuneJuly 2015 pp 51 – 55
“Life is the result of an inherent numerical, geometric, musical and cosmological template that has pervaded the Universe since its inception.  Ancient metrology systems, megaliths and even DNA have resonance with this template.”
He uses “modular arithmetic, exclusively using Mod 9, to uncover the inherent order that exists in everything from prime numbers to the Fibonacci sequence and, in fact, to every important natural integer sequence.”
“Reality is created by an infinite fractal expansion of prime numbers that creates a grid, much like a spider that spins its web.”…………eg Ulam Spiral……
P 54   DNA and Amino Acids – the Game of Life, Unpacked….
…”a fresh look at the group of 20 amino acids common to all biology – plant, animal and human.
…the number of protons and neutrons utilised by the entire “Game of Amino Acids”, and required for all life to be perpetuated, totals exactly 7920……..”
A T / C G    adenosine, thiamine, cytosine, guanine     4 x 4 x 4 = 64
Ie  each of amino acids, 4 bases, any 3 of which can define the codon for any one of the Amino acids.
“Not a single hydrogen atom nor even a single proton or neutron can be omitted or displaced without the entire numerical, geometric and musical perfection of the structure being lost completely.”


John Mitchell’s “Dimensions of Paradise” are, regarding the Holy City,  in Revelations 21,
12 furlongs = 7920 feet
and 14400 cubits = 24883.2 feet.   1 cubit = 1.728 ft.  1 furlong = 660 ft.

….A square of 12 furlongs contains a circle of 14400 cubits circumference….

The diameter of the Earth is some 7920 miles and its circumference through the Poles is 24883.2 miles……….thus, the dimensions of the New Jerusalem forms a plan of the earth…..


My discussion:-
1.     Indeed the biochemistry of life accounts accurately for every photon and ATP molecule,  every electron.   See textbooks for Photosynthesis Cycle,  Krebs Cycle, etc.
My worry is that the chemtrails in the sky ( today it is thick white powder masses and trails of maybe coal fly ash with "additives"  of unknown identity eg nano aluminium and barium)...._these chemicals might be the "asbestos" of the future, interfering with our human biochemistry and with that of plants and animals.   Indeed the hormone disrupting chemicals prevalent are designed to make us sick!
It is not right that somebody is spoiling our world - and permission has not been given for this.

2.     The author of "Dimensions of Paradise"
gives measurements of 12 furlongs and 14400 cubits.

BUT  when one goes and actually reads the Bible   we find it says the opposite,  Revelations 21-
it is actually 12000 furlongs and 144 cubits! 

Did the hand then of the ancient scribe shake?  Is there a mistake in the Bible?  Was it put there intentionally to make us think critically?  
Or did the author of "Dimensons of Paradise" make a mistake, a fortuitous and beautiful intuition ?

In both situations the number 7920 figures.
I shall explore this in the next post,  with more Thoughts.

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I think well of the Siberian Wisewoman, Anastasia, saying in "Co-Creation", Book 4 of The Ringing Cedars Series:-  page 14.
"Inside each one of us a warm heart abides.  Oh!  If only each one of us could open it wide to everything!  All reality could then be transmuted into a magnificent pristine garden."

My own feeling is to try to make this my spiritual practice.  To include the bad as well as the good.  March 11, 12, 13  was global meditation for Mother Earth;  focus in New Delhi, in Mother India,  with millions of people joining at noon each day.  See www....i  need to check up info......
Please see James Twyman, Peace Troubadour, on Facebook or on his website.

The Earth's Design was that of a Magnificent Pristine Garden.
It is our birthright and we have the right to reclaim it if we have the inner passion.

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Thursday, December 24, 2015

Theoretical Fibonacci Vortex Christmas Tree


Crocheted in dark green cotton.
Begin with 1, then 2, then 3, then 5, then 6, then 7, then 8.........just increase 1 at the end of each row, then work in a spiral.
Mark the end of each row with a different colour yarn.
So the 21st row has 21 stitches (shown by adding yellow);  the 34th row has 34 stitches (yellow), the 55th row has 55 stitches (yellow), The 72nd row has 72 stitches (light green colour).

You could go on forever and make a really big vortex.

It is a tradition of mine to do some kind of Christmas tree maths  on this blog  every year since 2012...  in 2014, 2015.
In 2013 there were photos of ---angels.  Recently I counted how many angels I now have in my caravan.  It is 14-   in sculptures, models, paintings, cards and tapestries!

In August and November 2013 there was good work on Pythagoras Fibonacci triangles and the square root of Fibonacci numbers, in cascades, resulting in a brand new value for another kind of "Phi" derived from the relationship definition equation having the square root of 5....!  = 1.793 604........


Usually the join goes vertically up, though sometimes it spirals around and up-  I don't know why, or which one is right. I only know it is tricky to keep the work exactly right at the very ends of a row.






I bought this lovely Christmas card
and present it here, on this Christmas Dayl

Happy wishes to all,  now and forevermore.












My aunt in Austria found this card in a shop in Linz, 20 years ago.  She recognised it as a sculpture made by her sister, my mother.  "Trudi's Engel 1942".

Truly a spirit of Christmas.

I have earlier published my mother's sculptures on this blog at "Tribute to Trudy"  19/4/2012
Also "A Better Photo" 6/6/2012.

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Christmas Baubles



My plan is to write up all the info for these asap.
this one is crocheted in 8 ply two colour wool.
Begin with 6 stitches....to 12, 18, 24, 30, 34.

The mauve cotton sphere is to 34, in 5 ply cotton.
The top blue one is to 34 in 4 ply equiv cotton yarn.
The white one is to 48, in 5 ply wool.
Size 2 crochet hook.


****Back in -July 2014- I published posts on making Spheres-  mathematical models and all.  I still need to write up better Instructions for How to make them.....




Please click on image to enlarge it.
right click to save or print.

This is how to make the 36 diameter sphere.
Make 6 chains into a loop. Single crochet 6 loops, then continue spiral with1 row 12, then 1 row 18, then 2 rows 24, then 2 rows of 30, then 4  rows of 36 around middle.
Then decrease stitches symmetrically until 6 are left  BUT  fill padding into shape at 18 stitches.
You can keep front of crochet work inside (as in the 8 ply blue and green ball),  or keep front side of work outside the ball.  Nice either way.

Here are instructions mind map for making 48 diameter ball.  12 rows each hemisphere.

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This one is made to 72 stitches, knitted, with pattern in green, using 4 double pointed No 13 knitting needles.  Quite intricate .    4 ply equivalent cotton yarn.


Please click on image to enlarge it.  For 60 and 72 around middle of ball.

Design is to make 6 repeats around the middle of the ball.
Empty squares are for you to make your own design.

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The above image is from
 http://theknitbitch.blogspot.com.au/2011/09/knitting-christmas-baubles.html
We can find a lot of exquisite crochet models of all kinds, including amigurumi, on the above blog.

The red and white balls are made by Arne and Carlos,  of http://www.kerstballenbreien.nl -   Norwegian patterns.
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Theoretical Fibonacci Ripples IAW the Protocols.

Insert 22/12 2016  here is the 377 model!



















Here is 2015 post....
The completed model has just been made, to 233.
The crochet rows segue perfectly with the recently published Eternal Protocols, all along the Fibonacci Series.  I have calculated up to 610 and it seems that the method continues further.  It would take too many hours of sitting crocheting to do more than the 233.
Work here is done with 3 ply baby wool and number 2 crochet hook.




More:-
27/12/2015
Please click on images to see more clearly.  You can scroll along images one after the other.
 Right click to save or print.
The numbers segue along beautifully.  That is how I made the model of the "ripples".
It is a bit tricky at the end of each row.  I do mark the spot with a different colour yarn.



Calculations for Concentric Circles (Ripples)
Iaw the Fibonacci Series.  Circumf = 2 x Pi x  r = 6.283 x r
Fn                    radius              r1 – r2             rows              
10946              1742.2 =r1       665.5               666                  
6765                1076.7=r2        411.3               411                  
4181                665.4               254.2               254                  
2584                411.3               157.1               157                  
1597                254.2               97.1                 97                    
987                  157.1               60                    60                    
610                  97.1                 37.1                 37                    
377                  60                    22.9                 23                    
233                  37.1                 14.2                 14                    
144                  22.9                 8.7                   9                      
5 5                    8.8                   3.4                   3                      
34                    5.4                   2.1                   2                     
21                    3.3                   1.2                   1                     
13                    2.1                   0.8                   1                      
8                      1.3                   0.5                                          
5                      0.8                                                                                                                                                                  
                                                                                        





Yellow marks the end of the row.  Note the first loop of next row is white, due to the nature of crochet the loop carries over to the next stitch.  One needs to be assiduous in counting.  Even a mistake of one stitch can put the work out.  It is gratifying when one comes to the end of each row with the correct number of stitches!


Here is diagram with each of the 6 segments being about 50 degrees from centre.  The half (7th) segment varies and seems to form a curve.  Does this have the effect of pulling the rest of the circumference into a spiral direction?  I wonder about the dynamics of real ripples and vortexes.

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 ok     - more work for anyone inclined to be interested......
I am keeping the images on this page small because you really do have to click on them to enlarge them and so see better.








Calculations for Concentric Circles (Ripples)
Iaw the Fibonacci Series.  Circumf = 2 x Pi x  r = 6.283 x r
Fn                    radius              r1– r2              rows             
10946              1742.2 =r1       665.5               666                 
6765                1076.7=r2        411.3               411                  
4181                665.4               254.2               254                  
2584                411.3               157.1               157                  
1597                254.2               97.1                 97                    
987                  157.1               60                    60                   
610                  97.1                 37.1                 37                    
377                  60                    22.9                 23                    
233                  37.1                 14.2                 14                    
144                  22.9                 8.7                   9                      
89                    14.2                 5.4                   5                      
55                    8.8                   3.4                   3                      
34                    5.4                   2.1                   2                      
21                    3.3                   1.2                   1                      
13                    2.1                   0.8                   1                      
8                      1.3                   0.5                                          

                                                                                                                                                                                       
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I hope someone likes this work!  There are almost never any comments.......It can't all be referrer spam in those pageview numbers!

 Happy 2016.  It may be a difficult year.....See UK Councillor Simon Parkes' YouTube videos.
It is up to every single human to imagine our world into its true Being.  Don't let aliens dictate to us. We have sovereignty tho we have some handicaps due to problems from past traumas.  Aliens deserve respect just like we deserve respect.  They might do to us the same things "in our best interests" as if we are dumdums, just the same as "western" invaders have done to indigenous peoples....
 Let's help each other. Conversation.  Find out the Truth.
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Thursday, December 17, 2015

Eternal Protocol for Building Numbers. Summary!


Please click on images to see them more clearly.




















Of what Use is this?
Well, one can crochet a whole cascade of Ripples,
and one might  knit or crochet seashells in a new and different way.
_




PS  28/12/2015
These are not hard and fast rules.  The action of rounding off decimalled numbers to full numbers does create discrepancies.  In the interests of crochet of knit we have to use whole numbers.
We can see this in the next post where the Fibonacci Ripples are made.  For three rows we use 5 to 8 rather than 4 to 7,  and for 9 rows we use 13 to 22 rather than 14 to 23.
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Eternal Protocol, Part 5. Prime Numbers.


Please click on images to see them more clearly















































































































Notice the reiterating Fibonacci numbers.....
Series within series.
Divide a Fibonacci number by 29 and you get 13 exactly for 377,  and almost exactly for the others.





















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Next = Not Fibonacci Numbers.

Any old numbers !















Please click on images, to enlarge.











Notice that prime numbers follow certain diagonals.
Within these are composite primes eg  3 x 7.  or powers of prime numbers.  
Squares of prime numbers lower rhs.
Squares of even numbers,  2, 4, 16, etc top lhs  inner diagonal
See Wikipedia for info on Ulam Spirals.  I found this in Nexus magazine.
More info to follow, as soon as I find it....





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