Difference between pages "1996-03-18-Spiritual Labor" and "Pattern"

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==Heading==
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A '''pattern''', from the French '''patron''', is a  type of theme of recurring events of or objects, sometimes referred to as elements of a set.  These elements repeat in a predictable [[manner]].  It can be a template or model which can be used to generate [[things]] or parts of a thing, especially if the things that are created have enough in common for the underlying pattern to be inferred, in which case the things are said to ''exhibit'' the unique pattern. [[Pattern matching]] is the act of checking for the [[presence]] of the constituents of a pattern, whereas the detecting for underlying patterns is referred to as [[pattern recognition]]. The question of how a pattern emerges is accomplished through the work of the scientific field of [[pattern formation]].
===Topic: ''Spiritual Labor''===
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<center>For lessons on the [[topic]] of '''''Pattern''''', follow [http://nordan.daynal.org/wiki/index.php?title=Category:Pattern this link].</center>
===Group: [[Woods Cross TeaM]]===
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Patterns are also related to repeated shapes or objects, sometimes referred to as elements of the series. Some patterns (for example, many visual patterns) may be directly observable, such as simple decorative patterns (stripes, zigzags, and polka-dots). Others can be more complicated, such as the regular tiling of a plane, echos, and balanced binary branching.
==Facilitators==
 
===Teacher: [[Abraham]]===
 
===TR: [[Nina]]===
 
==Session==
 
===Opening===
 
I am ABRAHAM. Welcome. Your communication with one another appears to me as a bright light shining off the Earth. I am filled with joy as I listen to you each accepting one another’s differences. I am perceiving you are being your true selves, the true personalities that Father granted you each with.
 
  
We have learned a great deal about the human emotions, human experiences. I have seen you use your spiritual tools to begin mastering your human emotions and learning to relate to fellow mortals. You all know the basic facts of spirituality. You know what is true, good and beautiful. You have spent much time in climbing the staircase to the mastering of the self. You have committed to being like God. You have labored to know who God is. It has not just been given to you. You have worked for your knowledge. You have strived to put forth these God-like attributes into your daily living. Needless to say, it has not been easy. Those who are committed to knowing God and being like Him struggle for their understanding. This understanding is priceless. This understanding you possess means so much because you have worked for it. Knowledge that is freely given without effort to research is taken for granted. Knowledge freely given is not as valued and appreciated. It does not lead the individual to continue to search for Father. I say you will know this is like our Mission. Knowledge and understanding will only come about by your effort to search, to experience these lessons firsthand. To really understand you must experience.
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The most basic patterns are based on repetition and periodicity. A single template, or cell, is combined with duplicates without change or modification. For example, in aviation, a "holding pattern" is a flight path which can be repeated until the aircraft has been granted clearance for landing.
  
A small child attends a class. This child must read, research, memorize and repeat the desired lesson again and again. A teacher cannot simply tell a student a lesson and expect the student to remember without any effort. A successful student possesses the desire to research, to understand, to continue in this learning until he has good memory recall. The good student does not lay his head upon the desk and cry for understanding. This student must read, even re-read, ponder, relate equations with symbols he understands. Yes, it takes persistence and drive to keep going. You, my friends, well know this by experience. Your Indwelling Father, Christ Michael, myself or others cannot lay your desired answers at your feet, for you see, you simply would not retain this information without having experienced it personally. Those who search, find. Those who listen, hear. Those who try, succeed.
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Pattern recognition is more complex when templates are used to generate variants. For example, in [[English]], sentences often follow the "N-VP" (noun - verb phrase) pattern, but some knowledge of the [[English]] language is required to detect the pattern. Computer science, ethology, and psychology are fields which study patterns.
  
I am very honored to assist you in your education. I am permitted to only go so far. At times I burn with desire to tell you my understandings of the universal inner workings. I am restrained by my knowledge of the techniques on teaching. I wish to give you my joy and understanding, but that is not possible. It would not be the same as your own discovery of this joy. Yes, this understanding of spiritual truths takes effort on your part. Do you see, this is a most effective way to teach? You are not about to receive information that you are not seeking. In your quest for spiritual knowledge I must say there is a well containing an abundant amount of clean, pure, refreshing water of knowledge within this very group. Your interactions with one another is indeed partaking from this well. Yes, to relate with each other is indeed a labor necessary to spiritual understanding. Human relations cannot be passed over in your education of divinity. To understand your fellows is as important as speaking about your inner feelings. Yes, you must indeed make an effort to be understood as well as understand.
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In addition to static patterns, Simple Harmonic Oscillators produce repeated patterns of [[motion|movement]].
 
I have spoke before on the subject of taking your place in the world. I am feeling more of you have indeed found your seat at Michael's table. You are believing and trusting yourself to be a child of God. You are assuming your positions and accepting others as well. You are believing there is room for all. There is no need for one to believe they must have the seat next to the Master's. All are feeling valued and that they belong. This is indeed an opening to accept yourself as you are and continue to be that beautiful personality that God Himself had created. This information should indeed remove fear and anxiety to be honest and open to new possibilities, open to understanding one another without judgment, knowing your fellows and knowing they stand with you in the kingdom. Yes, spiritual understanding takes effort and relating with your fellows is part of that effort. Relating with one another opens that well of information and gives you that feeling of belonging. I say you know well my lessons. You indeed have put forth effort to apply them. I say understanding one another is indeed a lesson beyond my own capacity to teach. The effort to know will be up to you. This week I would ask you to focus on communicating and allowing time to understand others communications to you. Have you questions?
 
  
RACHEL: Father Abraham, you said that you wished that you were able to give us your knowledge and your joy. I think you do some of both all of the time cause along with all of these lessons and everything you are giving us a lot of the knowledge. I also feel like your joy overflows to where you can actually feel it. I thank you.
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== Computer Science ==
 +
Theory of Computation attempts to grasp the patterns that appear within the [[logic]] of [[computer science]]. Since efficiency is extremely important when executing a command, minimizing a pattern into its most basic form becomes evermore
  
ABRAHAM: You are very much welcome and I also share in your joy and wisdom. Thank you. Are there more questions?
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== Mathematics ==
===Dialogue===
 
CALVIN: Abraham, thanks again for your lesson. There are many in our religious society here who are afraid to what we're saying here. I'll say it in a different way. They say don't seek for the mysteries, live the rules and to reach out for higher understandings of things you don't know is wrong. I have been in that seat before. I don't perceive it now as get way ahead of yourself and seek for things that really don't matter in the growth stage that you are, but what would we say to such a religionist who is afraid to seek for high understanding of new things?
 
  
ABRAHAM: Not a lot. It is indeed up to the individuals. You yourself as an example, there came a point when you found the courage to seek for something more. You accepted the liberty Father bestows upon His children to keep moving toward Him. This world is moving so fast, so many are realizing the bonds that traditional religions bring upon them and many will either reach for higher understandings or not reach at all. These individuals are not doomed by any means, delayed, yes. As this world evolves its inhabitants reach for higher understandings just as a child's foot grows beyond its shoe. I recommend live your understanding of spirituality, set this example before your fellows. Let the radiance of Father show upon your face and I guarantee your fellows will curiously seek this source of your happiness. Does this help?
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The irrational number (approximately 1.618) is found frequently in nature. It is referred to as the [[golden ratio]], and is defined by two numbers, that form a ratio such that (a+b)/a = a/b (a/b being the golden ratio).  It has a direct relationship to the [[Fibonacci]] numbers. This pattern was exploited by [[Leonardo da Vinci]] in his art.  The Fibonacci pattern has a closed-form expression. These patterns can be seen in [[nature]], from the spirals of flowers to the [[symmetry]] of the human body (as expressed in Da Vinci's [[Vitruvian Man]], one of the most referenced and reproduced works of art today. This is still used by many artists).
  
CALVIN: Yes it does very much. I know it doesn't do very much to worry about or wonder much why. It does seem like the prevalent religion here was based on a passage of scripture teaching, if any man lacks wisdom let him ask God who gives to all men freely, which has been the subject of all these lessons. The desire that we want to know, you're saying, we'll be fed. The thing that binds them down and many other religions is if God wants them individually to know He will go through a leader to deliver that message. I think those leaders are keeping them bound by that teaching. It will come through them and they don't expect that there will be anything unless it comes through the leader. I think if the leader would break open and say, "hey, you can get it on your own. You don't need us." Maybe there would be a lot more freedom for people to search on their own understanding.
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===Fractals===
  
ABRAHAM: Yes, you are correct to a point. Many have this knowledge and live the rules, and yet, still hold fast to what they know deep within their soul. They find it easy to follow the set rules so as to appear righteous, but still they know of their free will and Father Fragment within. If one person did choose to stand in favor of this concept it would be surprising to see how many others would also stand. You are correct in saying those that lead would definitely have to be the first ones to stand. Yes. Does this answer. (It helps very much. I got a new insight from what you were saying.) Good question!
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[[Fractals]] are mathematical patterns that are scale invariant. This means that the shape of the pattern does not depend on how closely you look at it.  Self-similarity is found in fractals.  Even though self-similarity in [[nature]] is only approximate and stochastic, integral measures describing fractal properties can also be applied to natural "fractals". Examples of such are coast lines and tree shapes, which repeat their shape regardless of what magnification you view at. While the outer appearance of self-similar patterns can be quite complex, the rules needed to describe or produce their [[pattern formation|formation]] can be extremely simple (e.g. [[Lindenmayer system]]s for the description of [[tree]] shapes).
  
HONOREY: Father Abraham, I haven't asked a question of you for quite awhile, but I appreciate your teachings and all that we are doing with our class to make ourselves better. I would like to say tonight how grateful I am for Elward and Joshua for involving me in these teachings. It was clear back in 1977. It has felt like all my life I have been taking a class, teaching a class, or reading a book searching this or searching for that. When I finally went to work at Sperry, where I met these two precious brothers, we were working together and because of Elward's perseverance with me he was interesting me to read this book and at that point I didn't care if I read another book for awhile because we were studying in Inspection and taking classes. But I want to say and thank Joshua and Elward for their persisting in getting me interested in the classes. And when I started coming to Joshua's all those years ago I don't think I have told them enough how I appreciated it, especially this guy with his persistence. Finally I said I would read another book if you say its good with that attitude. But I believe when the student is ready the teacher will appear. That was one of the quotations that was taught. I must have been ready at that time because I really appreciate their perseverance with me. So I love your lessons and love the precious brothers and sisters of mine that have put up with me all these years. I just want to thank them.
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Patterns are common in many areas of mathematics. [[Recurring decimal]]s are one example. These are repeating sequences of digits which repeat infinitely. For example, 1 divided by 81 will result in the answer 0.012345679... the numbers 0-9 (except 8) will repeat forever &mdash; 1/81 is a recurring decimal.
  
ABRAHAM: Good example of tonight's lesson. It was through communication that you were able to join with this particular group. These brothers would probably agree with me when I say telling someone about the Urantia Book is hard work. It takes a great deal of love of this book to put forth the effort in telling others. It takes a great deal of courage to appear different in order to release information. Yes, I appreciate your comments and am thrilled at your participation in this group. This group can at times be an anchor for your ship when there are storms upon the seas. Yes. Thank you. Another question?
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In [[Earth Science|geology]], a mineral's [[crystal]] structure is composed of a recurring pattern. In fact, this is one of the 5 requirements of a mineral. Minerals must have a fixed chemical composition in a repeating arrangement, such as a crystal matrix. For a 2-dimensional crystal structure, there are 10 different planar lattices possible. Moving up to 3 dimensions, 32 patterns are possible. These are called bravais lattices.
===Closing===
 
If there are no more questions I shall take my leave. I wish to express my gratitude and love to you each. I will continue working with you in your understanding of God-likeness. Peace go with you. Shalom.
 
  
[[Category: The Teaching Mission: Dialogues]]
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* [[Tessellation]]
[[Category: Woods Cross TeaM]]
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* [[Penrose tiling]]s
[[Category: Abraham]]
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* [[Cellular Automata]]
[[Category: Nina]]
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[[Category: Work]]
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===Geometry===
[[Category: 1996]]
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The recurring pattern of regular [[polygons]] is called a [[tessellation]]. 
 +
Out of all possible combinations, there are only three possible regular polygons that can complete a repeating pattern.  These polygons are squares, triangles, and hexagons.  The hexagon is the most stable version for engineering purposes.  Any shear stress upon segments of the hexagon series is distributed over the six points.
 +
 
 +
== Quotation ==
 +
:"A pattern has an integrity independent of the medium by virtue of which you have received the information that it exists. Each of the chemical elements is a pattern integrity. Each individual is a pattern integrity. The pattern integrity of the human individual is evolutionary and not static."
 +
::[[R. Buckminster Fuller]] (1895-1983), U.S.American philosopher and inventor, in ''[[q:Buckminster_Fuller#Synergetics:_Explorations_in_the_Geometry_of_Thinking_.281975.29|Synergetics: Explorations in the Geometry of Thinking]]'' (1975), [http://www.rwgrayprojects.com/synergetics/s05/p0400.html#505 Pattern Integrity 505.201]
 +
 
 +
:"Art is the imposing of a pattern on experience, and our aesthetic enjoyment is recognition of the pattern."
 +
::[[Alfred North Whitehead]] (1861-1947), English philosopher and mathematician. ''Dialogues'', June 10, 1943.
 +
 
 +
[[Mathematics]] is commonly described as the "Science of Pattern."
 +
 
 +
== External links ==
 +
*[http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=437&bodyId=465 Mathematics as a Science of Patterns] at [http://mathdl.maa.org/convergence/1/ Convergence]
 +
* [http://geometricarts.googlepages.com Geometric Arts]
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* [http://www.wikipatterns.com Wiki patterns and anti-patterns]
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* [http://illusions.hu/index.php?task=100&lang=0&statpage=161 Pattern based desktop art]
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* [http://www.stencilease.com/ Industrial and Decorative Stencils from Stencil Ease]
 +
 
 +
[[Category: The Arts]]
 +
[[Category: The Sciences]]
 +
[[Category: General Reference]]

Revision as of 18:27, 8 November 2009

Lighterstill.jpg

Using patterns 0.jpg

A pattern, from the French patron, is a type of theme of recurring events of or objects, sometimes referred to as elements of a set. These elements repeat in a predictable manner. It can be a template or model which can be used to generate things or parts of a thing, especially if the things that are created have enough in common for the underlying pattern to be inferred, in which case the things are said to exhibit the unique pattern. Pattern matching is the act of checking for the presence of the constituents of a pattern, whereas the detecting for underlying patterns is referred to as pattern recognition. The question of how a pattern emerges is accomplished through the work of the scientific field of pattern formation.

For lessons on the topic of Pattern, follow this link.

Patterns are also related to repeated shapes or objects, sometimes referred to as elements of the series. Some patterns (for example, many visual patterns) may be directly observable, such as simple decorative patterns (stripes, zigzags, and polka-dots). Others can be more complicated, such as the regular tiling of a plane, echos, and balanced binary branching.

The most basic patterns are based on repetition and periodicity. A single template, or cell, is combined with duplicates without change or modification. For example, in aviation, a "holding pattern" is a flight path which can be repeated until the aircraft has been granted clearance for landing.

Pattern recognition is more complex when templates are used to generate variants. For example, in English, sentences often follow the "N-VP" (noun - verb phrase) pattern, but some knowledge of the English language is required to detect the pattern. Computer science, ethology, and psychology are fields which study patterns.

In addition to static patterns, Simple Harmonic Oscillators produce repeated patterns of movement.

Computer Science

Theory of Computation attempts to grasp the patterns that appear within the logic of computer science. Since efficiency is extremely important when executing a command, minimizing a pattern into its most basic form becomes evermore

Mathematics

The irrational number (approximately 1.618) is found frequently in nature. It is referred to as the golden ratio, and is defined by two numbers, that form a ratio such that (a+b)/a = a/b (a/b being the golden ratio). It has a direct relationship to the Fibonacci numbers. This pattern was exploited by Leonardo da Vinci in his art. The Fibonacci pattern has a closed-form expression. These patterns can be seen in nature, from the spirals of flowers to the symmetry of the human body (as expressed in Da Vinci's Vitruvian Man, one of the most referenced and reproduced works of art today. This is still used by many artists).

Fractals

Fractals are mathematical patterns that are scale invariant. This means that the shape of the pattern does not depend on how closely you look at it. Self-similarity is found in fractals. Even though self-similarity in nature is only approximate and stochastic, integral measures describing fractal properties can also be applied to natural "fractals". Examples of such are coast lines and tree shapes, which repeat their shape regardless of what magnification you view at. While the outer appearance of self-similar patterns can be quite complex, the rules needed to describe or produce their formation can be extremely simple (e.g. Lindenmayer systems for the description of tree shapes).

Patterns are common in many areas of mathematics. Recurring decimals are one example. These are repeating sequences of digits which repeat infinitely. For example, 1 divided by 81 will result in the answer 0.012345679... the numbers 0-9 (except 8) will repeat forever — 1/81 is a recurring decimal.

In geology, a mineral's crystal structure is composed of a recurring pattern. In fact, this is one of the 5 requirements of a mineral. Minerals must have a fixed chemical composition in a repeating arrangement, such as a crystal matrix. For a 2-dimensional crystal structure, there are 10 different planar lattices possible. Moving up to 3 dimensions, 32 patterns are possible. These are called bravais lattices.

Geometry

The recurring pattern of regular polygons is called a tessellation. Out of all possible combinations, there are only three possible regular polygons that can complete a repeating pattern. These polygons are squares, triangles, and hexagons. The hexagon is the most stable version for engineering purposes. Any shear stress upon segments of the hexagon series is distributed over the six points.

Quotation

"A pattern has an integrity independent of the medium by virtue of which you have received the information that it exists. Each of the chemical elements is a pattern integrity. Each individual is a pattern integrity. The pattern integrity of the human individual is evolutionary and not static."
R. Buckminster Fuller (1895-1983), U.S.American philosopher and inventor, in Synergetics: Explorations in the Geometry of Thinking (1975), Pattern Integrity 505.201
"Art is the imposing of a pattern on experience, and our aesthetic enjoyment is recognition of the pattern."
Alfred North Whitehead (1861-1947), English philosopher and mathematician. Dialogues, June 10, 1943.

Mathematics is commonly described as the "Science of Pattern."

External links