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Springs
Registered Member

Date Joined Jul 2001
Total Posts : 636

Posted 11/3/2001 5:32 AM (GMT -6)

Ooopppsss
I forgot to post the source of my Pollock information. Here it is:

Ouellette, Jennifer. "Pollock's Fractals."
Discover.November 2001: 60-71

Oh and by the way the print I added is not entitled Number 14. I couldn't find that one.

-S

PotOnWheel
Registered Member

Date Joined Jul 2001
Total Posts : 9890

Posted 11/3/2001 7:12 AM (GMT -6)

FOR THE RECORD......

quote:

Posts Posted - 11/03/2001 : 10:32:31 AM
Springs
Catechumen

USA
123

Subtle!

Springs
Registered Member

Date Joined Jul 2001
Total Posts : 636

Posted 11/3/2001 11:29 AM (GMT -6)

Thanks POW!!!
I didn't even notice that!!!

You're smart, you're creative, and you're
observant!!!

triple traits are good

-Springs

Semeia
Registered Member

Date Joined Aug 2001
Total Posts : 522

Posted 11/3/2001 2:40 PM (GMT -6)

Springs,

Great post on Fractals in art. John Briggs has a wonderful book called, "Fractals: The Patterns of Chaos--Discovering a New Aesthetic of Art, Science, and Nature". A week ago my cat knocked over a glass of water on it, and now the whole book is fractal in its lumpiness.

From pp. 66-68:

The classical fractals--those nineteenth-century griffins--are made by adding or taking away elements in a recursive or iterative process. We saw that process at work in the generation of the Hilbert curve. Here's the generation sequence of another classical fractal caled a Koch island--made by repeatedly adding a triangle to the middle of every straight line at each iteration... ...Though the repeated triangle shapes make this fractal perfectly symmetrical, Mandelbrot realized that the Koch island does suggest the kind of detailed, recursive jaggedness that exists along a real coastline.

He discovered that classical fractals had also been made by repeatedly (iteratively) taking something away. The simple example of this type of iteration involves subtracting the middle third of a line and then repeating the operation indefinitely to create a "dust" of points, called Cantor dust after its discoverer, the Russian-born, German mathematician Georg Cantor.

Like the Koch island, the dust is suggestive of structures in nature--though, again, it is too symmetrical--for example, of the ways stars are distributed in clusters and dusts across the night sky.

A more complex form of taking something away to create a fractal is an iteration where triangles are repeatedly subtracted from within triangles , creating a figure called the Sierpinski gasket.

The end effect of these subtracting iterations is to shrink the two-dimensional triangle into a figure that fills the space between one dimension and two.

The Sierpinski iteration can be carried out on a three-dimensional object, by subtracting pyramids from within pyramids . The result is called the Sierpinski arrowhead...

I hope I'm not repeating... I'm not completely up-to-date on this thread.

Semeia

"The opposite of sin is not virtue, but faith."--Soren Kierkegaard

whasssuuuppp
Registered Member

Date Joined Aug 2001
Total Posts : 210

Posted 11/4/2001 4:46 PM (GMT -6)

Here's one...(I may have mentioned it already

...not sure)...so here it is:

We spend our lives existing in THREE, and only three, states of being:
1. Wakefulness
2. REM sleep (rapid eye movement)
3. non-REM sleep

Of course, the AMOUNT of time that each of us spends in each state varies GREATLY!

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

Lespwa fe viv.
Hope makes us live.
A Haitian proverb

Springs
Registered Member

Date Joined Jul 2001
Total Posts : 636

Posted 11/4/2001 5:26 PM (GMT -6)

What about the states of confusion and denial?

IMHO there are three types of pets.
1) those that love on you
2) those that are aesthetically pleasing
3) and cats

-Springs

GregBoyd
Registered Member

Date Joined Jul 2001
Total Posts : 1818

Posted 11/4/2001 5:41 PM (GMT -6)

Wonderful stuff folks. The cult of threeness is alive and well!

The stuff on fractals is fascinating. I'd like to explore further the relationship between fractals/ phi and (possibly) fibinacci numbers -- because with fibonocci and phi we tap into a threefoldness pattern. What I'm wondering is whether or not there is a threefoldness to the structure of fractals?

I wish none of us had to work for a living. Think how smart we could get!

For my part I at this point have little to add... except I've been studying ancient Zoroastrianism, and it is FULL of threes! Three epochs/ three great battles/ three judgements/ three rites of purification/ three groups of angels.... It's uncanny.

Keep it up!!!
Blessings

Doc

"Three is the magic number, oh yes it is, it's the Magic Number" - De La Soul

whasssuuuppp
Registered Member

Date Joined Aug 2001
Total Posts : 210

Posted 11/4/2001 6:08 PM (GMT -6)

quote:
What about the states of confusion and denial?

But Springs, if you add those, you ruin the three-ness!

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

If we are going to change
the world at all we must first be a little crazy.
--Wislawa

Edited by - whasssuuuppp on 11/04/2001 11:09:37 PM

Springs
Registered Member

Date Joined Jul 2001
Total Posts : 636

Posted Yesterday 7:12 PM (GMT -6)

Yo WU,
You are so right!!!
I had a momentary lapse of reason.

I hereby add the state of repentance and
make it three.

Springs

geebob
Registered Member

Date Joined Jul 2001
Total Posts : 94

Posted Yesterday 10:05 PM (GMT -6)

I don't know if anyone has suggested something of this nature yet. Here is an answer of mine to a question posed at TheologyOnline. I will also post the defense of my answer.

quote:
Where do we dervive meaning from? From ourselves? From a Deity? From a community?

yes, yes and yes.

for me this is the triad of meaning. Of course christians are commited to the notion that to love God and serve him is our primary source of meaning, for Jesus told us that the greatest commandment is to love your God with all your mind, soul, heart, and strength. and of course the second greatest commandment is to love your neighbor as yourself.

Now one might insist that our love for our neighbor is not itself a source of meaning but simply an act of obedience to God and thus is really an extension of deriving meaning of God.

But I find Jesus objecting to this in his objection to the pharasees statement towards parents "Whatever help you might otherwise have received from me is a gift devoted to God". Jesus said that this attitude nullifies the very word of God so I cannot help but find that this commandment establishes value in persons that is to be recognized apart from God but of course not overshadowing that value in God.

One might object that christianity is a selfless religion and that we should place no emphasis on the self and valueing the slef is just a product of our modern flaky self esteem craze. But Jesus shows that the self is itself a measure of value when he says that there is no greater love then that one should lay down his life for others. I find this meaningless if the self itself is not a source of value and meaning.

Now less obvious to the non-chrisitan is why we should find meaning in God. It may be obvious to them that the self and community are good things but why can't we just pursue these two and if God has a problem with it, why shouldn't he come down here and do something about it. Now establishing that meaning must be derived from God of course is one of the major projects of christian philosophy and apologetics and that is far to great a task for this little post. But I will say at least that our finitude in time and space mocks us without God. If we look at nature as the canvass upon which an artist has made a great statement that we are ment to enjoy for ever then we have a great source of meaning that is foolish to overlook

I will gladly pay you teusday for a hamburger today.

-Wimpy

GregBoyd
Registered Member

Date Joined Jul 2001
Total Posts : 1818

Posted 12/6/2001 2:47 AM (GMT -6)

Once the Queen of Threads
Oh how she has fallen
Exhausted perhaps
From the exalted days of her youth
Like angels in trees
We can see no more threes

NEVER!!!

Devotees of the cult of three
Cease not looking for
that sacred number

Here's a book I just ran across in a catalogue

Which you may be sure I shall order and duly devour, for I have not lost that original fire from whence this yet-record-setting-glorious-thread was given birth. The book is

Ritual and Mythology of the Chinese Triads

by Barend J. ter Haar (professor of social and economic history of China at the University of Heidelberg). Its published by Brill (and hence costs a Fortune!!!).

I haven't forgotten the promised essay summing up our research. Oh no. Its just that I don't see when I'll ever have a chance of fulfilling it. I started too at the end of last summer and the thing started turning into a book -- well, a huge catalogue anyway. Someday. None of the genius insights on this thread shall have been wasted.

Nor shall future insights.

Keep your eyes WIDE OPEN.

Just look Just look and you shall see
The world pervaded with the number three

(Note the threefold rhythm)

Doc

"Three is the magic number, oh yes it is, it's the Magic Number" - De La Soul

trosie
Registered Member

Date Joined Jul 2001
Total Posts : 550

Posted 12/6/2001 4:03 AM (GMT -6)

DARN! I keep telling myself to take a break and am finding it difficult to wean myself from this board. ANYWAY, here are a few THREE's I recently came upon. Due to the size of this thread I will post them even if they have already been posted.

1. Only God can save.
2. Jesus Christ saves.
3. Therefore Jesus is God.

1. Jesus suffered on the cross.
2. Jesus is God.
3. Therefore God suffered on the cross.

1. Jesus is God.
2. Mary gave birth to Jesus.
3. Therefore Mary is the Mother of God.

1. God is the creator of the world.
2. Jesus is God.
3. Therefore Jesus is the creator of the world.

There now, the THREE's are back up and running.

trosie

June
Registered Member

Date Joined Dec 2001
Total Posts : 105

Posted 12/30/2001 4:32 PM (GMT -6)

two eyes, two legs, two thumbs. the human body is full of twos. anything?

June

PotOnWheel
Registered Member

Date Joined Jul 2001
Total Posts : 9890

Posted 2/23/2002 6:15 PM (GMT -6)

E- and V- haven't posted here. Do they, or any other newer folks have something to add?

trosie
Registered Member

Date Joined Jul 2001
Total Posts : 550

Posted 3/21/2002 6:50 PM (GMT -6)

I want to revive this thread ONE MORE TIME for some lightheartedness.

Here's something that I found interestingly related: Peter denies Christ THREE times, and then later Jesus asks Peter THREE times, on the THIRD day, if he loves him.

I thought this was interesting!!!
trosie

Kyle Essary
Registered Member

Date Joined Oct 2001
Total Posts : 113

Posted 3/22/2002 7:52 AM (GMT -6)

Although batting .400 is a rarely achieved goal (last time was 1941), a great hitter is defined by his ability to hit .333 or one third of the times he goes to the plate. A good On Base Percentage is usually defined as above .300 also, slugging above .600, and OPS above .900. Likewise, the great pitchers have career ERA (Earned Run Average)'s around 3.00, above 4 is bad, and below 2 is extremely rare. There are 9 batters in a lineup, 3 strikes per out, 3 outs per inning, 9 innings per game. The intention of most coaches is to have 3 pitchers pitch per game: a starter, a middle reliever and a closer. The goal of an all around hitter is the win the TRIPLE crown (Batting average, Home Runs, RBIs), the same goes for pitchers (ERA, Wins, Strikeouts). There are 3 outfielders, and 6 infielders. A pitcher tries to have 300 wins in a career. There are 3 divisions in each league (but not for long if contraction goes through). OK, I just spent twenty minutes thinking about threes in baseball, on to something else!

Kyle Essary

trosie
Registered Member

Date Joined Jul 2001
Total Posts : 550

Posted 3/24/2002 4:46 PM (GMT -6)

Speaking about nine being broke down into THREE -- I recently heard someone break the nine gifts of the Holy Spirit down into groups of THREE'S.

Prophecy
Knowledge <--- Revelation gifts
Wisdom

Faith
Miracles <--- Action gifts
Healings

Tongues
Interpretation <--- Equipping(?) gifts
Discernment

In addition we can break the gift of healing into THREE types:
Physical healing
Emotional healing
Spiritual healing

Just wanted to share this to keep the THREE's thread active.
trosie

trosie
Registered Member

Date Joined Jul 2001
Total Posts : 550

Posted 3/25/2002 7:03 PM (GMT -6)

Here's a cool THREE:

What we HEAR effects what we SEE.
What we see will determine how we REACT.

I thought this was neat!

trosie

GregBoyd
Registered Member

Date Joined Jul 2001
Total Posts : 1818

Posted 4/1/2002 3:28 AM (GMT -6)

In his book Hidden Order: How Adaptation Builds Complexity, John Holland notes that Complex Adaptive Systems (cas) have a triadic structure to them: they have "nodes", "connectors" and a "resource". He writes:

"The nodes may be factories, and the connectors transport routes for the flow of goods between the factories." (Cities, he notes, are cas). Similar [node, connector, resource] triads exist for other cas: [nerve cells, nerve cell interconnectdions, pulses] for the central nervous system; [species, foodweb interactions, biochemicals] for cosystems' [computer stations, cables, messages] for the electronic Internet' and so on." (p.23).

hmmmmmmm.

May the cult live ON

Doc

"Three is the magic number, oh yes it is, it's the Magic Number" - De La Soul

trosie
Registered Member

Date Joined Jul 2001
Total Posts : 550

Posted 4/1/2002 4:23 AM (GMT -6)

Watching the Passion Play this weekend stirred this question in my mind: I wonder what the significance is in Peter denying Jesus THREE times and later Jesus asking Peter if he loved him THREE times? There must be deep significance in this. I wonder why THREE times???

Anyone have a great explanation?
Thanks,
trosie

Herb O. Buckland
Registered Member

Date Joined Aug 2002
Total Posts : 3

Posted 8/28/2002 12:25 PM (GMT -6)

Three Wise Men

Three Wise Men came to me
with three gifts, on Christmas morn
they had followed a star to see
the Saviour-king who was newly born
And when I was a young child
exploring the world as a child plays
I got lost for three days
but within a home of God, I smiled
A spirit led me into the wilderness
to be three times tempted by the Devil
Satan wanted to make me one of his
but I gave visiting angels my soul
I taught so that all might remember-
"to Ask, to Seek and to Knock"
for with these keys, all things surrender
and Heaven's doors unlock
I was 3 times ten plus 3 years old
speaking out for Faith, Hope & Charity
some thought me evil, others called me bold
but what I did, I did for thee
"I am not," was all that Peter would say
when asked if he is one of my disciples
his third denial came after I was led away,
before the moment a cock crows
Many think I dropped the cross three times
on the way to my crucifixion
and with two others found guilty of crimes,
that 3 of us had embarked towards heaven
It is believed that three nails were used
to bind each hand and both feet
- my executioners expected to be abused
but with words like these I chose to speak:
"And though my flesh deeply pangs for water
while blood also trickles from each hand,
please forgive them oh Father
for they do not understand"
It was Pilate who inscribed above my head,
in Greek, Latin and Hebrew,
on a wooden plaque that could be read:
'Jesus the Nazarene the King of every Jew'
When at 3 o'clock, I was to take my leave
so that future generations might believe,
some say I said this simple phrase of three:
"I am thirsty"
One nearby, rushed up to me
with a sponge soaked in sour wine
but others around said "Let him be!",
to see if God would save me in time
It was on the third day that I rose
after having been crucified
and every kind-hearted person knows,
it was for each of you that I died
Three women with spices sweet,
came to soothe their hearts by anointing me
but I had gone before them, to Galilee
for it is there we were to meet
To my disciples behind shut doors,
I came twice to be heard
then near the sea of the Tiberias shores,
meant this visit was my third
I asked Simon Peter three questions
knowing he would answer the same
my undying love was given in these lessons,
so that all the future might gain
All authority in Heaven and on Earth
had been given to me on the day,
that I had known since my birth
I would be ascending with yet much to say
but, so that all nations might realize
hoping all peoples would come to hear it
my disciples were sent out to baptize,
"in the name of the Father, Son & Holy Spirit"
Like a thief in the night,
I am to come unto you
though some believe this untrue,
I pray your heart shines my light
Tis not a mystical coincidence
that my life's story has patterns-of-three
you must come to know of its significance
as my love for you has not forsaken thee.

For more on threes in a variety of subjects:
http://cenocracy.topcities.com/cro24.html

I have been browsing your pages on the "threes" topic
and find your replies quite informative. However, let
me introduce a concept of three that is being overlooked.
Namely, that there appears to be an underlying 1 ~ 2 ~ 3
(overlapping) maturational development sequence such as
the three Germ layers (endoderm- mesoderm- ectoderm), and
that RNA is single stranded- DNA is double stranded- and
Proteins can have a primary- secondary- tertiary structure,
with a composite called a quaternary...not to mention that
basketball has a 1- 2- 3 point structure as well.

I am all for the writing of a Book involving the "threes"
phenomena, but we must also consider putting together either
a documentary or a full-length motion picture to accompany it.

Herb

Springs
Registered Member

Date Joined Jul 2001
Total Posts : 636

Posted 8/28/2002 5:58 PM (GMT -6)

Welcome Herb!!!

Isn't this a great thread! It has been dormant a long time. I suspect it is because it has become so large it takes 3 times the normal loading time.

quote:
Herb: A "threes" person needs the views of other "threes" people in order to foster their own individual development. Like a baseball player needing other baseball players, or a chess player needing other chess players, or musician needing other musicians. Simply put, you need to be with your own kind.

for the fostering,
Springs

Hi Starkman,
Love your stuff.

brandi
Registered Member

Date Joined Jun 2002
Total Posts : 118

Posted 8/28/2002 10:38 PM (GMT -6)

That was wonderful, Herb! Welcome.

Here is an interesting statistic I came upon while browsing for quotes. This is from a famous television late night host, David Letterman: "USA Today has come out with a new survey - apparently, THREE out of every four people make up 75% of the population."

~Brandi~

PotOnWheel
Registered Member

Date Joined Jul 2001
Total Posts : 9890

Posted 8/29/2002 5:29 PM (GMT -6)

quote:
"USA Today has come out with a new survey - apparently, THREE out of every four people make up 75% of the population."

Three out of three times!

GregBoyd
Registered Member

Date Joined Jul 2001
Total Posts : 1818

Posted 8/29/2002 6:23 PM (GMT -6)

Herb could have saved us a lot of time if he'd shown up 16 months ago.

Then again, the fun is in the chase.

Doc

ps. As an aside, I remain convinced -- indeed, MORE CONVINCED -- that there is something fundamental, on an ontological level, about THREE. We (and Herb!) have accumulated a lot of interesting stuff.

Now I wonder WHAT DOES ONE DO WITH ALL THIS? Its interesting, yes... but TO WHAT END DOES ONE PUT IT? WHAT PROBLEMS MIGHT THE THREE FOLD PERSPECTIVE SOLVE?

The most I can do, at this point, is suggest that it echoes the triunity of the Creator. Beyond this, I know not.

But it IS interesting.

"In Christ...the ONLY THING that matters is faith energized by love." Galatians 5:6

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