It has been traditional for me to feature some Christmas item each year.
Remember we used to roll up a newspaper, cut from top to halfway down all layers, and then pull out the inner tip - to make a tree?
from strips of paper of fibonacci lengths, I wondered how many spirals up there were as we increase the length of paper:-
This might help in elucidating a method to crochet seashells with tall spires.
This next is my best work done this year:-
This is Fibonacci series made in a flat spiral. It works out as a 6 1/2 sided polygon, with crests. I published the earlier work to 233 stitches perimeter in Post of ...24/12/2015....
This one is 377. All the mathematics is in previous post mentioned.
You need to click on images to enlarge them.
Then right click and you can save, or download, to print out Pattern, if you so desire.
38 rows more and we could have 610, but I will not attempt it.
here is a model of striped seashell, not yet perfected....
The real things:-
My new solar system. One panel on the roof; inverter; 12 volt; I can charge up my mobile phone etc but we still do not have internet or proper mobile phone reception in our town! I am typing this in IGA , seated in cool area, before catching taxi home to my caravan out of town. That is why so few posts.....Better luck next year.
This will be useful when I make a seashell model with vertical stripes, spines or processes.
More work to follow.
Very soon I will have some solar electricity, after 14 years of living in a caravan without. One hopes that a more orderly presentation of my blog's work will be a result. Thank you people for your interest over the years.
This is not Fibonacci numbers. It is Algorithm 6 to 12.
It could be a good Pattern for a baby blanket, made in 2 ply baby wool, but we are unable to buy this any longer in our town. One has to go to Canberra or Sydney or online to buy fine wool. And this in a country full of sheep!
I got up to 192 stitches and then I ran out of wool..... I mark each increase row to keep track....
This is mind map of Pattern.
Please click on image to enlarge, or right click to download or save.
Increase 6 stitches each row 6 times.
Then 6 stitches each row 6 x.
then 12 stitches every second row 6 x.
Then 24 stitches every 4th row 6 x. .........
then 48 stitches every 8th row, 6 x. etc as per next Table
At 48 rows we have a 24 sided polygon with 288 stitches at circumference, going on to the next set, a 48 sided polygon....etc...as per next Table.
I begin with 6 chains, join them and do 6 single crochet, then continue in spiral, marking end of row with a darker thread eg black.
Then 6 to 12 ( crochet 2x in each loop.)
Then 12 to 18 ( crochet 2x in every 2nd loop).
Then 18 to 24 ( crochet 2x every 3rd loop ie 3 to 4).
Then 24 to 30 (crochet 2x in every 4th loop ie 4 to 5).
Then 30 to 36 (crochet 2x in every 5th loop ie 5 to 6.)...........36 st. Hexagon. All 6 x.
A 12 sided polygon at 144 stitches.
please click on image to enlarge it. right click to download or save.
I have included larger numbers just as an academic exercise to describe the ongoing principles.
At the end of the previous post I mentioned Revelations 21 in the Bible.
***I added more today to previous post.
Here is my drawing of the Holy City, New Jerusalem:-
Please click on image to see more clearly.
Please see Insert 1/9/2016 My Mistake! Correction is:- 12000 x 660 = 7,920,000 ft =1500 miles, Cube this, in pure diamond.
V 1. And I saw a
new heaven and a new earth…there was no more sea…..
V 2 New
Jerusalem came down from God out of heaven
V 4 God shall
wipe away all tears, …no more death,
neither shall sorrow nor crying neither…any more pain
V 5 I make
all things new
V 6 It is
done. I am Alpha and Omega
V 9 an angel
V 10 he carried
me away in spirit to a great and high mountain….showed me.. Holy Jerusalem
V 12 Having the
Glory of God and her light even like unto a stone most precious…jasper…clear as
V 23 the city had
no need of the sun, nor moon…the Glory of God did lighten it, and the Lamb is
the Light thereof
V 25 the gates of
it shall not be shut at all by day …no night there
V 1 the river
v.2 the tree
of life…12 fruits
v 3 the Throne
v 7 Behold, I
v 16 Jesus is
the bright and morning star
v 15 for without there are sorcerers, whoremongers, murderers….
Holy Bible, Revelations 21
V 16 The City… hath foursquare…… the length and breadth and the
height of it are equal…………measured by the angel………12000 furlongs
V 12 the City had a wall great and high and had 12 Gates, and at
the gates 12 angels, and names written thereon, which are the names of the 12
tribes of I srael …(pearly gates)
V14 the wall of the city had 12 foundations and in them the names
of the 12 apostles of the Lamb.
V 17 the wall thereof is 144 cubits
V 18 wall is of jasper and the city was pure gold, like unto clear
V 19, 20 wall has foundations of precious stone garnished with
all manner of precious stones 1 is of
jasper, 2 is of sapphire, 3 is of chalcedony, 4 is of emerald, 5 is of sardonyx, 6 is of sardius, 7 is of chrysolite, 8 is of beryl, 9 is of topaz, 10 is of a chrysophrase, 11 is of a jacinth, 12 is an amethyst. Each layer is accorded to a disciple of Jesus
12000 furlongs = 12000 x 660 ft = 79200000 ft *****1/9/2016 Correction---it is 7920000ft
= 15000 miles = 24135 Km ***** 1500miles! =2413.5Km
12 pearly gates – 1250 miles
between each no it is 125 miles..........
APPARENTLY IT IS A CUBE.
***Maybe the city is a 12 sided
polygon?! Or it could be a Dome- h = w = l.
I have made a mistake! The dimension for the Holy City is 1500 miles, ie 7,920,000 ft A CUBE The wall is 72 yards thick, all the way up, 1500 miles!
Souls travel up and down as well as horizontally along levels.
See www. gty.org blog Grace to You
The Capital City of Heaven Part 1 Jan 29, 1995. Part 2 Feb 5, 1995
Sermons by Minister
who has set me straight! His calculations are 1500 miles, cubed, for the Holy City.
So I checked my own calculations.........I was wrong!
The distance Perth to Sydney is 2511 miles, 4042 Km..
Earth's diameter is 8000 miles, 12,756 Km
also I was alerted by:-
A science fiction novel by Arthur C Clarke said the Holy City was a CUBE.
Also David Icke in YouTube video "Saturn isn't what you think it is, Either",
describes the white hexagon atop Saturn. If you draw 3 lines from centre of hexagon to alternate points, you get what looks like a cube! David said also that the Holy City Jerusalem , was a cube.
So I searched online, and certainly, there are many reports by people who have studied this.
Amazing how the Universe helps us by corroborating the facts or correcting us.!!!
********************************** (original text:-)
All this makes me think of YouTube. We have at our fingertips much modern information. Regarding floating cities "coming out of Heaven" --- there was a story in Nexus magazine of a village in Africa where all the people saw a huge floating city above them!
On YouTube go and see Al Bielek, physicist, a survivor of the Montauk Project.
He traveled to the future; military secret projects. The Philadelphia Experiment in 1943 created a Rift in time 1933. In 1983 a Creature born of peoples'anger and anxiety about Montauk trashed the base under Long Island.
Al Bielek describes Two episodes - once to 2137- two men jumped ship (USS Eldrich) suffered radiation burns ; were in a hospital for 6 weeks in 2137!
Then from 2749AD to 2751AD. He actually spent time there, learning a lot.
They had Floating Cities, 2200 storeys high, with every 300th floor an antigravity platform.
The Project was begun in 2600AD by the Wingmakers but collapsed in 2900AD. Everything was done for the people by robots and computers, but humans need some incentive and there was none, hence the eventual collapse. We can learn a lesson from this. Montauk was useful for this!
We can calculate the height of such cities; say each storey is 3 metres, thus 6600 metres or 19800 ft = about 30 furlongs....
I have been coming across the Wingmakers a number of times now. First was in my other blog www.awhatifworld.blogspot.com, to do wit WW2 pilots seeing beings called Wingmakers who told them (both Allies and Germans) it was wrong to drop bombs.
Seems like Wingmakers were some kind of ancient creator gods who had an ancient AI enemy. They seemed to be the genetic caretakers of the universe.
Now it is also Stuart Swerdlow, another Montauk survivor, on YouTube mentions Wingmakers come from 600 years in the future to warn us about evil government. In 1990 some hikers in New Mexico found a cave - there was a series of 23 chambers with art on the walls; some meaning in these...NSA took over; tried to decipher; it sounded as if the govt might have corrupted this or planted art and music.......
What's more- Arthur C Clarke wrote "3001", published in 1997, and I am rereading it.
Sky City was home to many humans in 3001. It was made of four linked Towers 36,000km above the equator, high up in space, in geostationary orbit. I guess it was made of nanocarbon or graphene...The Towers were named Africa, Asia, America, Pacifica (not yet completed)........... Elevator moved at about 100km/hr..(p64) also pp 65, 101.
A Skylounge was at 200km. An Aviary was where one could don wings and fly. The instructor was called a wingmaker....but he was human....People lived on Earth also; one could visit and be greeted by a baby elephant, but gravity pressure was too great for Tower dwellers.
Jupiter had exploded and become a second sun, Lucifer. Some humans set up home on Ganymede, a moon of Jupiter. Amazing science fiction story. One wonders how prophetic it might be.
A series of sequels were written after "2001".
There is a story about a robot with AI based on mind of writer ...Philip. K.Dick.....the robot speaks of making zoos for humans to live in!
We hear about Killer robots. You can be sure military is making such somewhere even tho countries met to agree not to make them......
I haven't read this book yet by Calum Chase. It is certainly a topic of the times.
References:- Alfred Labrement Webre, David Wilcock, Michael Tellinger, Mary Rodwell, Simon Parkes, Linda Moulton Howe, Peter Slattery, Sgt Daniel Brad McBolen,
Humans are capable of great things, good things, Divine matters. We just need to heal ourselves of our traumas and we need to discourage the dumbing down of our species that is being enforced on us as if we are dumdums. We are more than we know. And we can imagine a Radiant Future.
Isobel Carmody's last book of the Obernewtyn Series, "The Red Queen" certainly brings us through great heartbreak to a new Beginning. And it includes computers.
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
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....!
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......
******************************************************* 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......
What is this? Knitting of this set of numbers ....fine sewing machine cotton....numbers....to follow
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.
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
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
“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
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…..
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.
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.
Born in Germany January 1946 and migrated to Australia in 1949.
B.Sc from UNSW 1970.
Name is Tiiu Vanamois.
Email is email@example.com .
Blogs are www.awhatifworld.blogspot.com
-------The first is to do with my Land and ecology of the World.----The second is about Art and Health.----The third is mainly a study of Mathematical Series, namely Fibonacci, Lucas, Bifurcating Series. Plus varius related themes--------- Of big interest is the making of models using crochet or knitting ------if anyone is interested in working with this, please do so ------------There are two asterisks **, after all posts in date index to do with crochet or knitting or making patterns for models-------------------- 4 asterisks** ** for Tables.