Tuesday, November 26, 2013

Proportional Calipers **

Sometimes I need to make my  own drawings of seashells.  Not easy if one does not have the artist's eye to measure exactly.  I tried to make my own proportional calipers and developed several versions.  Then I googled for them - and one can buy them, made in metal or other material.
Here is the simplest one:-
You can loosen and tighten the wing nut and bolt.
You can enlarge the sketch as shown.  Click on images to see them more clearly.
.........................................................................
Here is the best most accurate one I made.  This is cardboard template first,  then one can make it with wooden ruler or whatever length timber you wish.  The cardboard is too wobbly to use.



Diagram describes proportionality.
.........................................
Longcalipers.eg.

This model is not accurate at large sizes.  The pincer tips make the error.
I think it is better to make a caliper dedicated to one proportion only, eg  x8.  This is the one used by sculptors who make enlarged final sculptures  x8 times the size of the original maquette.  
I got the idea when I saw Tom Bass' retrospective Exhibition at the Sydney Opera House, some years ago.  His instrument was  expertly and elegantly made in wood and brass. 

..............................
Here is my attempt to model the tip of a seashell:-
The calipers shown were fairly but not really accurate.  
The tip of one pincer broke off and I had to try to glue a bit on to fix it.



Measure the width of the whorls, north, south, east and west.  It made a flat diagram. 
 To make it a cone,  find the height and put a similar cone underneath, and slit the sides all around to make the cone.  Stickytape it together. Next I have to figure it out lengthwise so that I can plan how many crochet or knit stitches are needed to make a more accurate tip to my seashell models.
................................................................

A Shaman Mentions the Fibonacci Number Series.

Monday ...18 November 2013 2AM
Radio National, New Dimensions    www.abc.net.au/rn/newdimensions
Program number 3479..  One can listen online;  also on the New Dimensions.org website.
dom Oscar Miro-Quesada from Peru interview-  Justine Willis Toms is host..
He has co-authored a book with Bonnie Glass    ....., "Lessons in Courage"
His website is www.heartofthehealer.org
it is THoTH...  see videos on YouTube.
His young life,  in the High Andes,  a visitation- the Three Shining Ones"-
he met his mentor;   Sacred cactus;   veil between spiritual and physical;
"to transform....to shapeshift...to walk through life with love....allows the progression of the soul.
Love begets life.
Consciousness begets matter.
Language begets reality.
Ritual begets relationship.
Nature begets......(I missed the words..)

Close your eyes, Imagine a Nautilus shape on seashore sand,  water ebbs and flows, pulsing......beauty and grace into this world,.....allies.....appreciation of the sacred....
the Fibonacci series.......It is the Golden Spiral....the five directions....
raise vibration.....water - vapour - plasma - Higgs-Boson Condensate - Dark matter - Soul - Void....
Material universe...will be an expression of all the love we carry.
The Ineffable
Soul Remembers.  The Heart Leaps.  The Spirit Awakens.  The Mind Knows.  The Body Follows.
It depends on how much yearning we have.
See ourselves in the future.
Tend the sacred Garden of our Soul."
...........................................

I was taught in Mahikari that it is Spirit first, the Mind next and Body follows.
My inner desire is to cultivate the Garden of my Heart.
It is curious to hear someone say something higher.
.............................

Fibonacci Spirals

Here is the correctly accepted explanation.  You can see it on Google Images, and Dr Ron Knott's website, plus on many other websites to do with Fibonacci Series:-

Once someone asked me what it is and I was confused.  I tried to work it out myself later, and these are the results  Not exactly correct, but one sees the principle at work.



.........................................
Longtime no posts.   I have been flat on my back in a kind of otherworldly clinic to do with- kundalini.  A bit of a worry-  seems to be RFID microchips or similar devices....Is anyone else in the world going through anything like this?  I saw something on YouTube.
..................................

Playing with Pythagoras

Pythagoras' Theorem says that the square on the hypotenuse of a right angled triangle is equal to the sum of the squares on the other two sides.  We have seen recently a study of such triangles with  sides being consecutive Fibonacci numbers:-
What if we play with them and make some shapes:-







Notice the Lucas Series within them:-

Now, what would they look like actual size?  I can only make up to 144 cm side, out of paper:-


What if we make a spiral by hanging the point from ceiling and easing the paper into a cone"-


Flatten the model:-


One could go on forever.  A funny kind of stairway to heaven, with straight path up and down and right angles.  Maybe a kind of ziggurat might be made.  The Tower of Babel of biblical fame,  in Mesopotamia (Iraq), was a ziggurat of some kind.

***********************************************
  INSERT     **6/7/2015------- A Very Exciting Video on YouTube!
 "The Hidden Secrets of  the Great Pyramid's Construction Uncovered."

uploaded by LEXXTEX - 293  August 28, 2012

French architect Jean-Pierre Houdin intuited that the stones were added via AN INTERNAL RAMP.
He undertook studies on his own accord,  and later met up with New York Egyptologist Bob Brier who travelled with him to Giza and they followed through M.Houdin's ideas to test and verify, and film them.
In 1986 French engineers took thousands of microgravimetric measurements which showed zones of significant sub density.At France's MIT,  M. Houdin was shown drawings of  square spiral shape  of 7 degrees slope inside the Giza Pyramid which corresponded to the 15% missing space inside the Pyramid.  The French engineers did not know what to make of it-  but M. Houdin immediately knew.

And I flashed onto my own square spiral= this Playing with Pythagoras!  It may be possible for me to contact M. Houdin on his website or Facebook  and venture to ask him if there is any good correlation....

At 42:34 minutes  find   --- Scientific 3D Software made a simulated 3D model of Khufu.
This is entirely magical science and most beautiful final to the story-
 tho there is always more... for example--- why?  Maybe aliens can tell us....?

******************************************
Another video fortuitously found video isUnsolved Mysteries.  The Secret of Easter Island.  by Blue Globe.  Sept 1, 2014
The Statues walked!  With the help of 3 teams of people with ropes attached to the statue.
 Slope of roads from Quarry were 3 degrees uphill and max 6 degrees downhill!  12 miles.
At 45: 20 minutes,  and I promise you, the whole story is just as fascinating as the Giza pyramid story.

*******************************************


We can make another Pattern when we put the right angled Fibonacci triangles heel to toe, and if we make its mirror image:-

This reminds me of a Mandelbrot form I saw at the end of Alex Putney's  free online book on Kundalini in http//:www.human-resonance.org
It also reminds me of the Theoretical Christmas Tree I published here Christmas 2011.
...........................

Friday, August 23, 2013

Phi and the Square Root of 5.


Phi equals the square root of 5, plus 1, all divided by 2.

In Wikipedia and in Dr Ron Knott's website and in other places one sees this equation.
 I wondered WHY it was so.  No-one seemed to be able to really explain it,

So I looked at it,  and looked at it, and worked around it,
and came to an idea that may explain why.......

It really works out to 1.618033.......etc.  Absolutely astounding,  and it was known in the time of Plato, apparently.


It only works when sides are 1 and 2 and hypotenuse is square root of 5
=  1.618033.........

Otherwise the golden relationship gives a different but consistent value.

*****  Even 1 / phi =  Sq root of hyp -(minus) adjacent, all divided by  opposite.






































Please click on images to enlarge them and be able to read them properly.  Thank you.













































































What does it all mean?  I have absolutely no idea.
It looks as if "Phi"  plateaus out at 1.793 604.......
who knows what it looks like at much higher numbers.

You can use this relationship where the square root of the hypotenuse is F(n+2) plus the adjacent side F(n) divided by the opposite side equals "Phi".
When the values are square root of 5    plus  1   divided by 2   the result is 1.61803........
otherwise the anatomy of "phi"  goes to 1.793604......

Please see "Anatomy of Phi" graph in previous post,  Refinding Phi Part 1,  6/13/2013



***************************************
I have found out that you can type the symbol for Phi, using character map.  Go to Start, all programs (or run), accessories, system tools and then character map,  where one then clicks on font needed, select, copy,  then go to Windows document.....edit....paste.  However sometimes it does not work when pasted on my blog.   I need to type it all out, print then scan it and use the result as an Image.   As above.

*******There is a great story by Sugata Mitra on You Tube or Ted Talks on NPR.org
regarding his million dollar idea for the "School in the Clouds".  He put a computer in a hole in the wall in a slum street in India,  and waited and watched (remotely).  Some time later he spoke with the children there.  They had taught themselves English, using character map!  Plus they said they'd like a better processor and a mouse!  The children taught each other!  It shows that  a group of children is potentially a Super Organism.  We might be dumbing down our people too much. 
Another wonderful Speaker on Ted is Arvind Gupta who makes toys out of trash.
In truth, there are spectacularly good Speakers on all kinds of subject.  It is awesome.
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My Summary of Fibonacci-type series and Phi-type series.

This is my own research - a summary of Fibonacci type series and Phi type series.
Here powers of Phi (column 5) are calculated for Phi = 1.6180339887... but only to a few decimal places, for brevity.

If you click on the images, you will be able to read it all clearly.



The New Parliament House, Canberra, Australia. A Temple Pyramid!

The Calendar on my wall in June had a photo of our new Parliament House in Canberra.  My eyes were suddenly drawn to the flagpole.  It is a pyramid shape,  and an unusual one, at that!  I just had to visit and take my own snapshots.

  My photo was tilted!
The columns give the impression of a temple.
The flagpole is in the form of a pyramid.

The water feature was rather concerning-  a strong undertow pulls water into the hole in centre=  down the gurgler.  Not good for a child or doggie wishing to cool their ankles on a hot day.  I would much rather see a sparkling upward gushing real fountain.




Inside the Parliament just under the flagpole the skylight is a pyramid.


Under the skylight is a dark looking water feature with water falling over the cliff edges...


Inside the entrance are really beautiful wood inlays featuring Australian native plants, 
16 in all,  8 on each side, over the doorways


 Waratahs

Blue Water Lilies


Emerging from Parliament House, I was surprised to see Old Parliament House, like a humble white collection of cubes at the end of the slope, with Mt Ainslie in the background. 

_____________________________

MORE     2/1/2015

the Canberra Code
http://wakeup-world.com/2014/10/27/cracking-the-canberra-code/

Cracking the Canberra Code Plan by Walter Burley Griffin 19131 1024x1013 Cracking the Canberra Code
By Trevor Ward
Guest Writer for Wake Up World
"Australia’s capital and Parliament House are encoded with esoteric symbolism, hidden in plain sight. 
What are the secret meanings and what purpose does it really serve?
Cracking the Canberra Code
As a background for those unfamiliar with the Australian Capital Territory (ACT), it is located in New South Wales (NSW), 280 km southwest of Sydney, with the city officially named Canberra on 12 March 1913 by Lady Gertrude Denman, the wife of the then Governor-General of Australia. The ceremony took place on Kurrajong Hill, which has since become Capital Hill. The indigenous word Kurrajong means ‘beautiful tree’.

The origin of the word ‘Canberra’ is a matter of dispute. Possibly it comes from the indigenous wordNganbira, a phonetically anglicised version meaning ‘the hollow between a woman’s breasts’. This clearly describes Canberra as a plain between the mountains, probably Mt. Ainslie and Black Mountain. There are other variations to the origin including CamberriNganbri and Kamberra, all of which mean ‘a meeting place’."
-------------------------------------------------------------------------

......Here you have it.  The opening paragraph of a fascinating article which you can look up yourselves in its entirety.   A circle within a circle = Canberra.  This denotes a temple.  
There was good ol' Walter Burley Griffin with his compass, drawing circles everywhere........This blogger later went to see an Exhibition at the Canberra Archives of Marion ... Burley Griffin's superb architectural drawings for the Canberra Project-  on four walls........TMV

____________________________________

There is also a YouTube video  - " Giza Geomantica"-  connecting Canberra,  and HAARP Exmouth in West Australia and Giza Pyramid.  Murky stuff.  But we must be aware of stuff going on.....
People do their very best regardless of the conspiracies.  The day I was in Canberra there was a feeling of excitement.  Big things happen here.  Good things could happen,  not just bad.
One lady on the bus told me wistfully that she was visiting especially because it might be the last time we can see our first Woman Prime Minister, Julia Gillard, at work.  And so it was.  That night, Julia walked out, followed by her Treasurer Wayne Swan and it was the end of an era, a short one.  She did well and many folk remember her affectionately.  She was tough and she had grace and humour.  She had a tough job and was often treated meanly by the Press and Opposition.  
So there we have it.  Government Down Under.

____________________________________

   This blogger would like to write a piece about some wisemen cities of olden times.  
These are Baghdad in Iraq,  Arkaim in Russia,  and   -Gilgal Rephaim on the Golan Heights in is it Syria-  I must study these.....all were built a circle within a circle.  Is it to do with the Torus?

2/1/2015  Gilgal Rephaim.....actually I looked this up today- fascinating .  5000 years old.  5 concentric circles  diameter 155 metres, atop Golan Heights,  now in Israel,  was in Syria before war......must check.  8,500 dolmens nearby.
Built by Giants, Nephilim?  Central burial place of King Og.  Og is mentioned in Bible  Deuteronomy 3 v 11.  Killed by Moses.  Knew Abraham.  they lived long in those days....
see YouTube.  Also  ref  http://www.ccg.org/Creation%20Articles/Circle%20of%20the%20Refaim.htm
has a lot of info.   40,000 tons of loose rock.  Built over 2000 years.  Originally astronomcal observatory and stellar calendar.
Arkaim is mentioned in The Ringing Cedars by Vladimir Megre series of books.  Anomaly area, closed by military Russia.  Was also an astronomical observatory.

_______________________

There is a beautiful piece online by Stephen Otto Guth about the esoteric beginnings of Canberra.  I hope I can find it again.  You might find it on Google search.  Good luck.   It is worth it .........

***it can be found at References after Trevor Ward's  wakeup world article.  See aso ref for   SusanAKAPeacefull article re US FEMA camps  and 30,000 guillotines purchased!  sombre news.


_______________________________________

Thursday, June 13, 2013

Refinding Phi, Part 4. The Giza Pyramid.




see  old post,  1/7/2013,  "Angles for Giza Pyramid". 
*******************************
Continuing:-
23/8/2013


Phi and Giza angles   13/8/013

The diagram for Giza Pyramid is redrawn as follows to show  ideas behind angles.  Dimensions are in Royal Cubits as given in Wikipedia.  Previous blog posts had calculations in April 17, 24, 2011 and July 1, 2013.



1.    Concerning 42o.

The Fibonacci angle 137.5o is well known.  42 is very close to 42.5 which is the acute angle for 180o – 137.5o.  Can this make for resonance, a subject which I am trying to understand?   Imagine lines extending out beyond the pyramid’s diagonals.  Each outside angle is 138o, so close to 137.5o which comes from 360o - Phi.    We don’t know how thick the walls are at base- would it make any difference?


2.   Concerning 51o 51.

This is said to be Kepler’s triangle.

It looks close to 45o and indeed if the base square were to be made a circle the same radius as the pyramid height it would form a cone and the angle would be 45o.  Reminds me of a giant stethoscope for listening to Mother Earth’s heartbeat. 

3.   Concerning 58o 17.

This is perilously close to 60o,  a perfect isosceles triangle.

 It is exactly the angle for a triangle where the trig of natural tangent is 1.618033….  356 / 220  =  89 /55!  It is Phi.

The ancients had incredible knowledge!

……………………………………

References

http://www.halexandria.org.    The knowledge is vast.  On pyramids, Fibonacci,

slope 51.85331834…..,           360o / 7 = 51.42857142857….

http://www.thegreatpyramidofgiza.ca   most astonishing scholarly work of foremost Egyptologists…..203 courses of masonry, the 35th is particularly thick, at 0.2 of total height and 0.8 of base circumference….the square root of phi is significant = 1.27101965…....altitude at meridian was 11o 08 in 10450BC and will be 58o 11 in 2550AD……

http://www.human-resonance.org   much knowledge…..telepathy not cellphones…will be switched on….the pulsed heartbeat of planetary resonance…. Resonance patterns from all points of pyramid……(also orbs…..sculpture)….a book called “Phi” which one can read free online…

http://www.world-mysteries.com/mpl_2    mystic places…. the great pyramid….coral castle....pyramids in China including the Great White Pyramid….Chichen Itza….

“Spiritual Gardening at its Best” by Don Elwood who is a Reiki Master.  You can buy his spiritualised  seeds online.  The Mexico Indians of the desert sang to their corn to bring in the spirit, Navoti.  Don gave Reiki energy to his seeds and experimented with putting them in a pyramid shape;  one third of the way up is the “fire point” and is equivalent to the King’s Chamber in Giza Pyramid.  It is thanks to Mr Elwood that I learned about “circling the square” of the base of the pyramid,  as in my diagram* above.  He wrote about the Fibonacci series also, and that was years ago;  we both had read “Secrets of the Soil”.
* diagram has been added.

There are more references, to be added as soon as possible.
*********************************************************
 INSERT     **6/7/2015------- A Very Exciting Video on YouTube!
 "The Hidden Secrets of  the Great Pyramid's Construction Uncovered."

uploaded by LEXXTEX - 293  August 28, 2012

French architect Jean-Pierre Houdin intuited that the stones were added via AN INTERNAL RAMP.
He undertook studies on his own accord,  and later met up with New York Egyptologist Bob Brier who travelled with him to Giza and they followed through M.Houdin's ideas to test and verify, and film them.
In 1986 French engineers took thousands of microgravimetric measurements which showed zones of significant sub density.At France's MIT,  M. Houdin was shown drawings of  square spiral shape  of 7 degrees slope inside the Giza Pyramid which corresponded to the 15% missing space inside the Pyramid.  The French engineers did not know what to make of it-  but M. Houdin immediately knew.

And I flashed onto my own square spiral= this Playing with Pythagoras!  
My Post of 27 Nov 2013.
(**This insert has been put in to that post also.)
 It may be possible for me to contact M. Houdin on his website or Facebook  and venture to ask him if there is any good correlation....

At 42:34 minutes  find   --- Scientific 3D Software made a simulated 3D model of Khufu.
This is entirely magical science and most beautiful final to the story-
I could write more about it from my notes-  but best for people to see for yourselves.

 There will  always be something more... for example--- why?  Maybe aliens can tell us....?

******************************************
Another video fortuitously found video is Unsolved Mysteries.
The Secret of Easter Island.  by Blue Globe.  Sept 1, 2014

The Statues walked!  With the help of 3 teams of people with ropes attached to the statue.
 Slope of roads from Quarry were 3 degrees uphill and max 6 degrees downhill!  12 miles.
At 45: 20 minutes,  and I promise you, the whole story is just as fascinating as the Giza pyramid story.

*******************************************


Refinding Phi, Part 3.

Continuing on from the end of the last post:-

 
 
 



The Ratio seems to Plateau out around F33/F34.


at  1.618933988749894........
 correction  1.618033988749894
 
 
 
Additional,  7/7/2013:-
 
The known value of Phi, to 50 decimal places is
1.61803 39887 49894 84820 45868 34365 63811 77203 09179 80576…….
Or  1.618 033 988 749 894 848 204 586 8………
We were given, in the  “Kind Advice” of  recent post,   
 36   =  33385281.999 999 970 046 681 049 451 6…….  
(22 decimal places).
The 36th root of 33385281.999 999 970 046 681 049 451 6
  =  1.618 033 988 749 894 848 204 586 8…..
Which is exactly the known value.
………………………….
1/∅36 = ∅-36    =  0.000 000 029 953 318 950 548 355 3…..
Adding   36   and  -36    
=   33 385 281 .999 999 999 999 999 999 999 95 53…..
Which is almost 33 385 282, an integer.
………………………
We were given that Phi4 is  6.854 101 966 25………    
 (11 decimal places)
And Phi-4 is 0.145 898 033 375
Adding them together = 7, an integer.
……………
If we work out, with Scientific Calculator, 
The 4th root of 6.85410196625  = 1.618 033 988 749 913 5
Then that is possibly the value of which was used.
 try  Phi4 using the known value    =
6.854 101 966 249 684 544 613 759 920 8
(I wonder how different in accuracy the various calculators are
-there might be some rounding off of answers.....)
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Refinding Phi, Part 2.

 
 
 
 
 
 
 
 
 
 
 






The previous post has a Graph whose Pattern reminds me somehow of the Profile of a splash ripple.   I could not discuss further in the last post because the space to do any more not there.
 
There is an old post of mine, "The Tip of a Drop",  in April 2011,  with discussion.

I have always said that there is something funny going on between 0 and 1.
Maybe that is why homeopathy is effective!?  The bucket chemists would not agree.
My feeling is that subtle chemistry and physics is where it is at.   Vacuum energy, etc.
1/0  =  kapow!
It could be that there is a connection with the structure of a torus.  Just guessing.
 I lie awake trying to visualise how it goes, but I do not get pictures
( tho during Primal Therapy in 1975 I did get photographic images!). 
There is a YouTube video describing the Torus
and NassimHaramein has YouTube talks on this subject.
I tried to crochet a torus.......more of this later......
The Sunflower maybe  has the Pattern of a Torus-  all those seeds coming from the centre
and spreading out.....geometry was published 12/12/2012.

There was a lot to say in Post of 12/12/2012, "Our Place in the Universe",  and thereabouts.
The Cosmic Ouroborus".  10 to the Power -33 and all that Planck data.....

Here we go with more Phi data.  My old tables only went to 8 digits on my calculator,  so this is new.
After this Table I will have to go to the next post, Part 3.  Space seems to run out these days....





Refinding Phi, Part 1.

This is a continuation of a similar recent post (5/4/2013)..
The definition of Phi that I know is that
 the Golden Mean or Golden Ratio
is found by calculating
one Fibonacci number divided by the previous Fibonacci number.
That is,  Phi  =  F(n) / F(n-1).
 Let us see what this looks like:-



So far,  they are all a little bit different.  
What is evident is that one Phi = 1 + 1 / another Phi ,  and it is exact.





Moreover,  all can be described in a Graph:-





Saturday, May 4, 2013

Internal Structure of Seashells **






Internal spiral is paper thin.

Outer shell can be incredibly thick / strong.

There seems to be protein incorporated with calcium salts.

It feels incredible that the mantle of a sea gastropod is able to engineer so exactly the molecules to create unique structures





These pictures are to correct a pattern made in post of 19/3/2012.

The outside tip of a shell is incredibly hard
and the inside paper thin.

This is important in making models of  work, especially tall thin shells, to avoid bulky crochet inside.










X rays of Seashells


http://www.seashellarchitecture.com
http://shellography.com    The Art of the Ocean by Dr Thad Thomas,  4 galleries incl x rays.
YouTube,  the seashell x ray man, 22 August 2010

Mathematics of Seashells by Xahlee, 2006-05.
The Algorithmic Beauty of Seashells, by HansMeinhardt,Przemyslaw,Prusinkiewics and DeborahRFowler.   from Amazon.....

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