Tuesday, November 22, 2011

Time Flies! **

Hello everyone!  Long time no post. 
Thank you very much for all your interest, even in faraway Mongolia.

 1  Mention has been made to me of an excellent website for jobseekers.  It is http://www.jooble.org/,  a worldwide network which covers 42 countries, I think.  In Australia it is http://jooble-au.com/.
Please visit this important website and tell your friends.  I know from my own work experience how hard it is to find meaningful work, right livelihood.   ***********************************

2  Today I gladly announce a Brand New Pattern for a Proper Fibonacci Snail!
Here is a preview-  a drawing of a real specimen showing the pattern of whorls.  I measured the top three rings with a bit of string and got 37, 45, 90.  Hello,  this is close to 34,  55,  89;  the Fibonacci Series.  I made quite some attempts to figure out how to do it and will post my findings asap.
The orange lines are 89,  the green is 55, the blue is 34.  The model looks just like this.
The algorithm used was 2n+1 where n=3. 
That is 4 stitches become 7, or 12 (13) stitches become 21.
The maths was given back in April for Vortexes.
I must admit it was a big lesson to me to discover that my pet equation of Fn = 2F(n-2) + F(n-3) is not necessessarily true for all snail shells!  Here is a drawing of a real seashell, Janthina janthina,  and we can see its more intricate design:-

3.   People might like to visit  a really beautiful and knowledgeable website by a real malacologist.  It is http://www.snailstales.blogspot.com/.


4.   October 28, 2011 has been said by some to be the last day of the Mayan Calendar!
(For others it is 21 December, 2012.)  Here is my photo of the sunrise of that morning:-
Rather than being the end of the world we are actually "on our way to becoming multidimensional Beings", according to my favourite Astroflash! on http://www.handclow2012.com/
The September message is absolutely Spot On!  It is  talking about M87, the Super Galactic Centre, 53.5 million light years away,  with 27 galaxies revolving around it, including our own Milky Way on the outer rim.  At its centre is a super massive Black Hole with the mass of 5 billion of our suns!  It is ejecting a jet stream of plasma travelling at 4 times the speed of light, and it extends out 5000 light years and is pointing straight at us. A veritable worm hole extending out into the Universe.
See Astronomy Picture of the Day, August 28, 2011, on www.apod.nasa.gov/apod/archivepix.html.

Considering that a Black Hole is a spiral, a vortex, and the ides that on the other side of a black hole is a white hole and a brand new universe, let me posit a crocheted model!   I might be completely wrong as I am not an astrophysicist.  Here goes:-
Maths for vortex was given in posts 28/4/2011.
4 stitches become 7,  or 12 (or 13) stitches become 21.
Here are photos of a black and white model with last row being the Fibonacci number 987.

There are many different possible configurations which I might post later on, but here there is a white spiral and a black spiral.  At the centre is the beginning string.  Right next to it is the outer edge overlapping it as the hyperbola crosses over to the other side.   Is this a peculiar singularity?
At the singularity there is no time and space.  Just atoms kerfoof!  Consciousness must remain, however.  We have been told that the shaman can travel beyond and return us to tell about it.

Each time I see the hyperbolic fan shape, I see how close the ends are to the beginning of the shape, and  I am reminded of the final chapter in the Christian Holy Bible, Revelations 22, where God says "I am Alpha and Omega, the beginning and the ending."  It also describes Jesus as "the bright and morning star."  It is all very Cosmic!

I heard a scientist say on ABC Radio National's Science Show 12/11/2011 that the Large Hadron Collider under Geneva has been a terrible waste of money.  We can read transcripts on www.abc.net.au/rn/science show 12/11.   I've read that this collider creates black holes.  Who cares?  There seems to be some unspoken agenda;  maybe it needs to happen to teach us something.... I don't know.  Forcing things doesn't sound too good to me.  I'd rather we spend such colossal money on taking care of Mother Earth,  Gaia.


5   Finally, on a lighter note, allow me to share an mazing story I heard on ABC radio national's Bush Telegraph.  You can check it out online also for photos of her knits.  www.abc.net.au/rn/bushtelegraph   look for November 8, 2012.
Mrs E, Roth is a Canadian artist living in Australia.  Evelyn does with fur what Helle does with plastic shopping bags,  that is she makes yarn for crochet or knitting.  She uses, rabbit, fox, wolf, raccon fur;  skins are tanned with a home tanning kit.  Then she cuts around the edge with a sharp razor blade to make a long strip, even 5 metres long!  She makes her own thick wood dowelling knitting needles, or she makes them from strong thistle stems covered with papier mache.  Wolf skin makes a nice fur hat.  She has one 10 years old.  When any patches become bald one can glue on some fluffy feathers.  White rabbit plus sequin thread makes an elegant evening stole.  Coats, blankets can be made.  In Australia could we use feral cat, feral dog or camel,  or kangaroo?
Another idea Evelyn had was to crochet a cover for her water tank or a support for sweet peas....  use 3 or 4 spools of old video cassette tape all at once, and use the entire hand or fist to crochet it!  She has her own website http://www.evelynroth.com/ .  There are even some huge molluscs she has made!
  What a wonderful world we live in!  I am so grateful.....


Wednesday, July 20, 2011

Parallel Universes.

Considering the clam shapes,
we have tried to work out how to make crochet and knitting Patterns for 1/2 F(n).

One could posit a number of parallel lines of fibonacci derived series,
ie.  Fn,  1/2 Fn,  1/4 Fn,  1/8 Fn,  etc.  next post will list them  I hope.

It amazed me to discover that the Original equation (algorithm) fits all these! 
My dad used to say "Why make it simple when you can make it complicated too".
Fn = 2F(n-2) + F(n-3).
1/2 Fn = 2 x 1/2 F(n-2) + 1/2 F(n-3).
1/4 Fn = 2 x 1/4 F(n-2) +1/4 F(n-3),  etc.
Some numbers have decimal points after them and need rounding off.
the actual algorithm works almost exactly
but one must adjust + or - 1 or 2 etc.
If I'd known this before I might not have tried to find other patterns...

It remains to be seen how the resulting models fall naturally into shape.

A great challenge to make model would be the Cockle Shell, symbol of Shell Oil Company.


It has been serendipitous that a number of books and articles and a dvd to do with parallel universes and black holes and time travel have come my way recently.

Some are in Nexus magazine  see http://www.nexusmagazine.com/  The Chani Project.
In June July 2011 there is a story of contact with an entity from a parallel dimension.
Scientists from a secret collider facility in South Africa reveal communications from 1994 to 1999.

Traci Harding is a favourite writer .  "The Universe Parallel" is book 2 in the "Being in the Field" series.  her heroine must travel back in time to fix a situation which is needed to avert disaster in the future.
Visit her virtual world via http://www.trazling.com/

The dvd of "Nautilus"  has a submarine which travels from future 2100 to past, to change something in order to avert future disaster  eg toxic shock deaths of people etc. 
One wonders if all this is prophetic story telling?
It is said that, in the great scheme of things, everything is as it should be;  in spiritual balance with us.

It might be that entries on this blog become less frequent as life continues in my caravan without electricity.  Winter is ending with the wattles blooming maybe 4 weeks earlier this year.  There is much fixing and gardening to do at my place before I head up to visit Queensland in early September.

Meanwhile I have printed out all the posts of my blog so that I can review and edit my work and hopefully improve the project as time goes on.
If times be troubling may we get to choose calm, so Sayonara for now.
P.S.  24/8/2011
There was a dreadfully funny cartoon in SMH soon after I wrote the last para:-
two guys have placards, one says  STAY CALM.  A mob has trampled them both flat to the ground.  One says "Look out, here they come again".  Is that a cautionary tale?  What else can we do?

Thursday, June 16, 2011

Playing with the Number Nine

What if we divide the numbers of the Fibonacci Series by NINE?
4181/9 = 464.55555*rpt
2584/9 = 287.11111*
1597/9 = 177.44444*
34/9 = 3.77777*
21/9 = 2.33333*
13/9 = 1.44444*
A Pattern emerges esp from the last three:-
Fn / 9 = F(n + 5) / 100 plus "extra"...eg .004444* or .003333*
F14 is 377, divide by 9 = 41.88888*
F14 + 5 = F19 = 4181; F19 / 100 = 41.81000- extra is .0788888*
F13 is 233, divide by 9 = 25.88888*
F13 + 5 = F18 = 2584; F18 / 100 = 25.84 plus .04888*
.07888 / .04888 = 1.6137479

Higher number ratios of "extras" = closer to 1.618, the "Golden Mean"
eg F19/9 = 464.555*. F24/100 = 463.68; difference is 0.87555*
F18/9 = 287.111*. F23/100 = 286.57; difference is 0.54111I
ratio of differences is 1.618069
One can compile tables of the Fibonacci numbers divided by 9; also by 2, 3, 4, 5, 6, 7, 8.
Only one number to F25 divides evenly by all single digits except for 5.
ie number F24 which is 46 368

What if we multiply the first 25 Fibonacci Numbers by NINE?
I shall only do a few:-
17711 x 9 = 159 399
10946 x 9 = 98 514
6765 x 9 = 60 885
4181 x 9 = 37 629
2584 x 9 = 14 373
987 x 9 = 8 883
610 x 9 = 5 490
377 x 9 = 3 393
233 x 9 = 2 097
144 x 9 = 1 296
89 x 9 = 801
55 x 9 = 495
An Equation emerges:- 9 x Fn = 1/2F(n+6) + 1/2F(n-6) !
eg. 987 x 9 = 1/2 x 17711 + 1/2 x 55
=8855.5 + 27.5 = 8 883 = 987 x 9 !
Multiply by 18,
then the Equation is 18 x Fn = F(n+6) + F(n-6)

eg. 4181 x 18 = 75258 = 75025 + 233 !
Try it for other numbers, even huge ones.....
Multiply by 27,
then the Equation is 27 x Fn = 10 x F(n+2) + 1/2F(n+1) + 1/2F(n-8)
eg. 27 x 10946 = 10 x 28657 + 1/2 x 17711 + 1/2 x 233
.........................= 286570 + 8855.5 + 116.5 = 295542
.........................= 27 x 10946 !
Multiply by 36, (4 x 9).
The Equations might be 36 x Fn = 100F(n-3) + 10 x Fn + F(n+1) + F(n-2) + F(n-4) + F(n-9).....OR......
36 x Fn = 100Fn-3) + 10F(n-3) + F(n+4) + F(n+2) + F(n-1) + F(n-4) + F(n-6) + F(n-10) - F(n-12)

try 233 or 610; I will check on this sometime.....
What if we Multiply by 45, (5 x 9), ?
The Equations are:-
45 x Fn = F(n+8) - F(n+1) - F(n-3) - F(n-5) - F(n-7)......and.....

45 x Fn = F(n+7) + F(n+5) + F(n+3) + F(n-1) + F(n-8)......then.....

F(n+8) - F(n-8) = F(n+7) + F(n+5) + F(n+3) + F(n+1) + F(n-1) + F(n-3) + F(n-5) + F(n-7) !
try 610.....
Something might happen with x54, x63, x72, x81, etc; I have not tried it yet...
What use is it? It is just a buzz to see Patterns, " palindromes" almost!
There might be a particular model which one can make with these patterns.....
What if we multiply by 19?
An Equation that emerges is:-
19 x Fn = F(n+6) + Fn + F(n_6) !
eg. 19 x 610 = 11 590 = 10946 + 610 + 34, correct.
Try other numbers; see how far up the series one can go with this!
What if we multiply by 29?
The Equation is 29 x Fn = F(n+7) - F(n-7) !
eg. 29 x F18 = F25 - F11
......29 x 2584 = 74936 = 75025 - 89, = correct.
Multiply by 39:-
Equation seems to be 39 x Fn = 1/2 F(n+9) + Fn - 1/2 F(n-9) !
eg. 39 x 610 = 46368/2 + 610 - 8/4
.....................=23184 + 610 - 4 = 23790. = correct.
eg. 39 x 144 = 10946/2 +144 - 2/2
.....................=5473 + 144 - 1 = 5616, = correct.
Multiply by 59 or 99:-
there could well be Patterns; I am working on it.....
At least I have got it all down on paper and online
There could well be corrections to any mistakes...
At least it satisfies my curiosity.
What does the number nine signify indeed?!

For the Maya, the number nine was to be worshipped.
Nine "Lords of the Night" were painted on the tomb walls of the Temple of Inscriptions.
1/9 = 0.1111*rpt
2/9 = 0.2222
3/9 = 0.3333
8/9 = 0.8888
10/9 = 1.1111
20/9 = 2.2222rpt
nine based decimal system is half as complex as today's 10 based system,
This is from page 324 of " The Mayan Prophecies"
by Adrian G. Gilbert and Maurice M Cotterell publ 1995 Element Books, Inc.

You might like to play with the first 135 Fibonacci numbers:-
See post 5/4/2013



It looks like a clam...**

There is a model of two halves of a bivalve, shown open before sewing, and after forming into shape.  It was made May 2010 and only a few days ago I sewed it up and padded it.
Here are photos:-

It looks like a Pattern is needed with 1/4 F(n) stitches each row.  To be continued....

Sunday, June 5, 2011

Fibonacci Equations having the Number Nine.

Apparently there are thousands of Fibonacci equations. 
Here are some which I have figured out for myself.
I do not know if anyone else has discovered them.
1/2F(n) = 9F(n-6) - 1/2F(n-12)

Take a look at the following:-
9 x 610, ieF(21-6) ,ieF15 =5490
difference is 17 "too many"
=1/2 x 34, (1/2F9=1/2F(21-12)

F22........17711........8855.5..... 9 x 987 = 8883.........diff=28
F23........28657........14328.5....9 x 1597 = 14373.....diff=45
F24........46368........23184.......9 x 2584 = 23256.....diff=72
F25........75025........37512.......9 x 4181 = 37629.....diff=117
F26.......121393.......60696.5....9 x 6765 = 60885.....diff=189
F27.......196418......98209........9 x 10946 = 98514....diff=305

As you can see, "diff" = 1/2F(n-12)
Moreover, 1/2F(n) / Diff =~320 point something, stabilising to 321.... all along the series.

F59.....956 722 026 041........half is  478 361 013 020.5
9 x 53 316 291 173 = 479 846 620 557
diff is 1 485 607 536.5.......=1/2 F47 = 1/2 x 2 971 215 073 = 1 485 607 536.5
Moreover, 1/2F(n) / diff = 
47 836 101 / 148560.75 = 321.9969
(Divide this by 9:-    we get  35.6666666)

What does all this mean?
If we want to crochet the Fibonacci Series , half shell
we can use this equation to vaguely evenly create a vortex, cone, etc.
 I imagine it could make a triangular spiral, such as in diagram 3...  on previous post dated 26/5/2011,giant clam.... reproduced here:-

For F(n-6) substitute the appropriate "Fn=2F(n-2) + F(n-3)"  Pattern for the increase stitches in crocheting or knitting.  I have not done this yet, apart from the simple model previously made with 9x  bivalve pattern, above.
The 1/2Fn /  F(n-12)  is always 321.  I think this means to decrease 1 every 321 stitches all along the row.  This takes some concentration to decrease stitches, and one needs to mark each spot with a coloured thread, to keep up with pattern.
One has to micro adjust the final stitches to get the exact Fibonacci numbers in each row.
One could of course never knit a model with stitches numbering in 12 digits.
 It just illustrates how Nature might do it.

Maurice Cotterell, author of "The Mayan Prophecies" mentioned the Maya used number 20 as a base  (fingers and toes add up to 20)......and the number Nine  featured in their calculations.  I wondered HOW?
He noted that   1/9 =0.1111111rpt,  2/9 =0.2222222rpt, 3/9 =0.33333333rpt, etc
Amazingly, he decoded the meaning of the picture on the lid at Palenque, Temple of Jaguar, Tikal, by realising the Maya could visualise in reverse, so he used a piece of perspex with a bit of pattern drawn on it and reversed-  to fit the jigsaw!   He figured out 2012 and much astronomy.  He'd been an officer on British Navy submarines for his working life and had time to study the effects of the Heavens on people.  
I try to remember as much as I can;  maybe some of my memory is not all correct - I gave the book to someone who might understand.  Mr Cotterill also decoded more mysteries-  eg the Chinese(Entombed Warriors);  also some Celtic mysteries....check out his website.  He has also written "Future Science- Forbidden Science".  I would like to read these all but there is so much I want to do, unable to fit it all in!

Meanwhile, I publish this bit, and there are "9 -  equations" more to come.

Friday, June 3, 2011


First 100 Fibonacci numbers 16/4/2011.,

Patterns for crochet and knitting  Fibonacci Seashells

29/4/2010, 19/5,25/5, 21/6, 23/6, 24/6, 3/5/2011, 25/5, etc.,

***A brand new Pattern to knit and crochet will soon be published;
similar to those on recent posts, 17/05/2012

Singularity 21/4/2011 etc.,
Pyramids 24/4, 2/5/2011.,
Vortex 28/4/2011.,
Tree, cones, ripples 21/12/2010, 21/4/2011.,
Equations 5/12/2010, 21/11/2010 etc.,
Astronomy 9/5/2011, 24/4.,

Colour pencil drawings 16,17/4 etc*asterisked...
These have been removed 17/05/2012
Similar posts are on my new website http://www.acolourfulpost.blogspot.com/

Quite a few sections of some posts have been removed and
similar ideas may be found on my http://www.awhatifworld.blogspot.com/

Ancestors 15/8/2010, 24, 28/6/2010 etc .  More to come later.

Tuesday, May 31, 2011

"Fibonacci Bivalve Equations"

The Original Equation for crocheting or knitting a seashell was given in post:  21 June 2010 etc. 

F(n)  =  2 x F(n-2)  +  F(n-3)

F(n+1) = 2 x F(n-1) + F(n-2)  eg F9=34 = 2 x 13 + 8.........for knitting, work downwards, knit 2 together.
F(n) = 2 x F(n-2) + F(n-3)      eg F8=21= 2 x 8 + 5
F(n-1) = 2 x F(n-3) + F(n-4)   eg F7=13= 2 x 5 + 3...........for crocheting, work upwards, crochet twice in same loop.
Patterns are given for spiral seashells:-    23 June 2010, (here are the bivalves).
A green knitted bivalve and a red blue yellow crocheted bivalve were also configured from this Pattern.
The only bivalve made from the first Bivalve Pattern was a white crocheted  model.  23 June 2010.
At the time I guessed that one could knit  by working backwards;  later it was found to be not possible.
New Patterns are given recently:-      May 26 2011,  (the giant clam)
Diagrams and models  1 and 4 have a wavy lip like a clam.
Original working out is given in Fibonacci Fan shapes 1 to 610  and 233 to 6765.
Eventually a giant clam might be properly created- by someone- in fibre, iaw Fibonacci Series of numbers!

Here are the new Equations:-
From 1/2F(n) to knit next row 1/2F(n-1)
 = k2tog x 1/2 F(n-2) + k  1/2 F(n-3)
eg.  cast on 117.  k2tog x 45, k 27.  makes 72,  (nb. 0.5 is rounded off)
Fn=233,  F(n-2) is 89,  F(n-3) is 55, F(n-1) is 144.

From 1/2F(n-1) to crochet 1/2F(n)
= crochet 2x in loop x 1/2F(n-2) + crochet once in loops x 1/2F(n-3).
eg.  base 72 loops, crochet 2x  in next 45 loops, crochet once in 27 loops,  makes 117.
F(n-1)=144, F(n) is 233, F(n-2) is 89, F(n-3) is 55.

and so it goes, even if you were able to knit huge numbers:-
F59 is 956 722 026 041..........half is 478 361 013 020.5
F57 is 365 435 296 162..........half is 182 717 648 081
F56 is 225 851 433 717..........half is 112 925 716 858.5
..............................adding last two:-  295 643 364 939.5
.................which is half F58 ie half of 591 286 729 879
Equation was:-   from 1/2F59 make 1/2F58 by k2tog x 1/2F57 + k 1/2F56
One can imagine a creature or single cell figuring out how to multiply its cells or molecules
or how to fuse or divide its cells or molecules to create a certain shape!
i am in a bit of a hurry to publish my work in case i get sick.
28 lumps on my thyroid gland.
hands hurt so it is easier to type lower case.

I could type extensive Tables to prove my equations, as i did in posts dated 28 April 2011 etc.
but it could be that interested people might like to figure it out for themselves.
i have a big sheaf of handwritten numbers and the task has been to arrange them
 in reasonable presentation;  very easy to get muddled up....
This work was done in September 2010, so it has been a long time getting documented!
A good friend taught me how to magnify a web page-  press ctl and +
To decrease size images,  press ctl and -
Thank you, Mark;  many of my Tables and diagrams are too small to see detail....

Thursday, May 26, 2011

Real Seashells **

From glass cases in the Australian Museum, Sydney, and my friend's home,
 we have a collection of real seashells.

More on the bivalves.**

Here are knitted models of the "bivalves" with various ways of configurating them.  Still the best way to make a giant clam is eluding me.  I might have to play around with it;  experiment.  Later.

The Giant Clam! **

Giant clam seen in scientists' room, upstairs at Australian Museum, Sydney.

Here begin efforts to create a mathematical hyperbolic model of a giant clam.
Jute twine was used, with  thick dowelling handmade knitting needles.
A new Pattern was used,  starring the number 9.
It was easy to crochet half of a bivalve, but not possible to knit it backwards,  thus a new Pattern was needed,  as described in the following images:-

You can click on these images to enlarge them, and to print them if need be.  Arrow back to return.

In fact, there are four different ways to organise the Pattern:-

You can see the wavy lip in bottom piece,  but it is still far from looking like the Real Thing.

This is Pattern for Crocheting Larger models of "Bivalve" = a great challenge for anyone to try.  My own work is not copyright, as far as I am concerned.  It belongs to Nature,  and we have the way to discover what we wish, according to our curiosity.  I do welcome the efforts of anyone who would like to try to elucidate secrets of our world.  Please share your results, especially students.  I hope these blog posts are of interest.  Thank you all.

------------------------Additional;  2/10/2015
To save a copy of any image, click on it to enlarge.
Then right click, and choose an option
eg save in downloads,
or copy then bring up a new Word page, click paste and save on computer.
or you can print.

New Models of Sea Snails, made last year, not shown until now. **

Wednesday, May 25, 2011

More Molluscs. **

It was in the section on Bivalves, 23/6/2010, that I wrote  "we have completed our work on molluscs".
There is actually much more!  Here again is the Pattern for crocheting  (and for knitting) a mollusc, even to an ambitious  degree of 4181.  If you click on the image it enlarges ok and you can print it or copy and save it to Word for your Reference as a Pattern that you can figure out for yourselves however you wish. 

If you increase crochet each row you get  a hyperbola starting from 1 and ending with an exceedingly frilly edge.  To make a cone, crochet one or more plain rows between each pattern row 

(or knit, working Pattern backwards, decreasing instead of increasing).
To make "ripples",  concentric circles with non frilly edge, you can go to the section with the maths on ripples etc,  (see Back Index at right,  April 17 2011 type 1),   to decide how wide to make the interval rows between pattern rows.  Circle circumference = 2 times Pi times radius.  Good luck.

Here below  is half section of a snailshell.  It was soaked in a thin aquadhere glue liquid and then dried before cutting in half with a sharp scalpel.  A real shell was halved with difficulty-  the shell is incredibly strong-  one has to bash it with a hammer.

The two sets of images following show the various configurations possible for a hyperbolic shape crocheted in yellow 8ply wool, I think it is, from memory,  using a number 10 crochet hook and treble stitch.
  (Usually I chose half treble.)  This time the looser stitch makes it more comfortable to adjust into different directions.           

The outside rows were of finer yarn-  987 row was in cream colour baby wool and the 1597 green row was crocheted in no. 8 crochet cotton.  I wanted to try to make the apex of the shell a finer, tighter coil.              

2,  7,  8,  Open hyperbolic fan shape
4,  "Stingray" shape,  made by folding in half and the again in half several times.
5,   "Chrysanthemun" shape, 
1,   Fold in half once, make clockwise spiral, just like a snail
9,  Fold in half once, make anticlockwise spiral;  this is not usually found in Nature.
3,  6,  16,  Top and bottom views of most easily arranged shapes made by continuing spirals from corners.
11,  14,  Two halves, front and back, one clockwise, one anticlockwise tight spirals.
10,  Outside of proper "Bivalve" configuration
14,  Inside of proper "Bivalve" configuration.
12,  15,  "Whelk" snail shape, configured and padded.
17,  :Snail" shape, padded.
18,  "Nautilus" shape, padded.

Photo is of Pelagic snail 

A cold and sunny winter's day, one year ago.
Camera had self timer and I had to run back quickly before the shutter went off!
I was working on this 1597 crochet model.



Of Mice ***nice video and music***

There is a bit of a mouse plague in our country region NSW Australia.
I caught 28 in traps before Easter.  I hate the killing and decided not to do so any more.
I clean up after the mice in my caravan.  One day I banged loud on a steel basin with a wooden spoon.
It was quiet for a few hours but that evening the mice went bananas!  Running everywhere!
I felt beaten, to say the least.  I racked my brains as to what I could do and I "asked" the mice something.
I "got" the answer when I made great effort to be CALM myself - and the mice calmed down too!
It was a nice quiet night.  Now I watch them,  and enjoy it, in my lovely life, to have some live company.

I am not a cat or dog person.  Indeed a one time male friend said to me "You are such a mouse!  Why don't you be an eagle?"  There is a story by Hyemenohost Storm about Hopping Mouse,  who became an eagle - by being EATEN.  My brother says he would rather I was able to befriend native mice, not the European ones.  My guess is that mice are mice - and are too similar -  just small diference in DNA maybe,  and in ancestry.....we are overrun with feral animals in Australia,  and native species from Australia have gone feral in other countries, with tragic results for original ecologies.

 Michael Roads can communicate with Nature and has written many books to inspire us.
He says that the forests that have been cut down-  they still exist in spiritual realm!

 If one human can do it, then it means that all of us are potentially able to do it also.  I feel that such ablity will help us with Plants also, and even with Fish and Molluscs and any Being alive.  Our true Nature is to be Custodians of this Beautiful Planet Earth.  I would like to do my utmost to try to find new ways to live this precious Life.
I may not succeed or survive,  but , then again,  I might well succeed,  and so may many of Us.
"Ganbatte, kudasai",  as the Japanese people so nobly say.
Please see http://www.ganbatte.org/  as a most appropriate link.

-the radio was playing just the right music while this scene was being recorded on my digital camera.  www.abc.net.au/classic  19/5/2011 I think.

Here is Shelly Mouse eating Cockle Creek Coal Cone-  Catamaran-  Recherche Bay  Tasmania.
(by courtesy of my brother Roger).   1/6/2011.

Monday, May 9, 2011

The Morning Stars Sing

Click once on image to enlarge, once again to enlarge more, then arrow back to return.
****sometimes it only works once....

The previous few mornings I have gone out at 5.15am and 6am to see the morning stars.

Jupiter and Venus are both glowing gold and I expect we shall see them for a number of months still until later they will be evening stars.

Mars was visible as red at 5am but was harder to see as the dawn crept on.

Tuesday, May 3, 2011

To Crochet a Cephalopod **

Nautilus belongs to the Phylum Mollusca -  it is a cephalopod,  a "head footed animal", related to squids and octopus.  A living fossil from 420 million years ago ( 265 million years before the dinosaurs), in the Lower Devonian  of the Paleozoic Era, it shared seas and oceans with ancient fishes, trilobites, brachiopods, crinoids, corals, gastropods, (the latter being "stomach footed animals").  It survived mass extinctions while the Ammonite species were all wiped out.  One book in the library had a picture of a Nautilus with a tall skinny spiral shape!

I drew this diagram, with info from net.

For a long time I presumed that the half section of seashell which adorns articles on the Fibonacci series to be that of a gastropod.  It was not until I saw a real Nautilus shell-  in a fabulous collection of huge seashells given to my friend Penny- that I realised it was not a spiral shell.  It is perfectly symmetrical both sides.
Back in this blog early on, I recounted how I thought how cool it would be to make a model of a Nautilus in accordance with the Fibonacci series.  One night I had an idea-  I leapt out of bed, switched on the torch and undid a crocheted snail model - and I managed to configure it into the yellow shape whose photo is under the black model! 

1597 stitches crocheted at outer  edge in the large model.
377 I think in the small model.
They are both made from the Hyperbolic shape Pattern
in accordance with the Fibonacci Series of numbers, described earlier.

My next drawing was made using the "pause" button on my portable DVD player:-

It is not possible to click to enlarge this image.  Maybe I have input too much data. The file size is presently 120KB after resizing as if  for email.  Before adding text it was 60.9KB.  Before resizing they were 3MB and 2.43MB.  I might have to redo the image with less text....  One needs a magnifying glass to read words!
It might be possible to select info, copy it and paste it into Word document, then edit it to be more readable.

It was quite wonderful to see film of Nautilus swimming in the Coral Reef DVD, purchased from the shop in the Australian Museum in Sydney. It is "Coral Sea Dreaming.  Awaken." 
See http://www.protectourcoralsea.org.au/
The makers of the film warn us that if oceans become acidic, then not only will calcareous shells of animals dissolve, also the eardrums of fishes such as whales and dolphins, made of calcium, will dissolve.

My feeling is that the best way we can save our world is to become peaceful ourselves, to be happy,  and that means all of us need to practise NO MATTER WHAT HAPPENS,  and to help each other. Any negativity only feeds the negative.
I know it is hard not to worry when the situation feels impossible.
 His Holiness The Dalai Lama says we need to Transform Ourselves, with Compassion.
We ARE so powerful -  the Siberian Wisewoman Anastasia declares so to us.
 Her supraparaphraseing of the Lord's Prayer begins
 "Our Father who is Everywhere,  I am Your Daughter;  Your Joy I Declare."
Them is beautiful words.

Fossil Ammonite from Australian Museum's display; my photo.

Below is photo of Australian Museum, Sydney facade, near Hyde Park.

The word "Nautilus" has for a long time captured the imagination of the world at large.
First there was "Twenty Thousand Leagues Under the Sea", by Jules Verne (1828 - 1905).
The "Nautilus" is the fictional submarine of Captain Nemo.
The film of the same name as the book starred James Mason, Kirk Douglas, Peter Lorre and .....
The battle with the giant squid was truly gripping!.
 A 3D version is being made.
Not only that, but astronomer David Reneke has a website and I subscribe to his newsletter. 
There is a multi mission space exploration vehicle, for the Moon and Mars,
 and its name is Nautilus - X 
 ie Non Atmospheric Universal Transport Intended for Lengthy United States Xploration. 
 See Wikipedia.
One last comment:-
I was lucky to find an article in the Sydney Morning Herald, regarding "Thinking Hyperbolically".
Feb 19, 2011.   Felix R  a student at Sydney's International Grammar School in Ultimo said how cool it is to see the maths underlying the world around us. ( I wish I had written down his exact words.)  Melissa Silk is the School's Head of Design and Jane Martin is Head of Maths.  Their students made nomographs from their names- fine art prints- exhibited at The Powerhouse Museum.

21 July 2011
Making a model of Nautilus by rolling hyperbola shape up like a pancake is only half the story.
A more correct model would include the Septa which form up to 34 chambers.....