Saturday, June 9, 2018

Bees, Zen, Zero and Honeycomb Geometry

Bee's and math such a perplexing point in history.
Why are honeycombs made of hexagonal cells?
Implies there is some kind of math more over a point
of sustainable survival is why it is complex. It has to be!

The point in nature right down to the
function of a human cell is to survive.
Cause and effect in nature because of nature's point to do better.

Life happens to those that has a life. It depends on what
kind of life you want. You make your own hardship.
Bees having such a system not seeking their hardship
is something that should be noted today.
If a Bee can do it well the question pops up whats
holding you back? A question that many needs to ask
for a better life!

~~~~~Bees understand nothing; first insect to comprehend zero
Bees understand numerical zero, new research shows, making them the first insect to showcase their comprehension of the mathematical subject.

In tests involving cards and drinking solutions, bees proved they can understand simple mathematic concepts, including the concept of zero.

~~~~~Apiological: mathematical speculations about bees (Part 1: Honeycomb geometry)
Bees have encouraged mathematical speculation for two millennia, since classical scholars tried to explain the geometrically appealing shape of honeycombs. How do bees tackle complex problems that humans would express mathematically? In this series we’ll explore three situations where understanding the maths could help explain the uncanny instincts of bees.

This quote is the earliest known source suggesting a link between the hexagonal shape of the honeycomb and a mathematical property of the hexagon, made more explicit a few centuries later by Pappus of Alexandria (sometimes considered to be the last Ancient Greek mathematician). Writing after the Roman Empire’s glory days, Regular polygon plane tilings Pappus points out that there are three regular polygons that tile the plane without gaps—triangles, squares and hexagons and bees, in their wisdom, choose the design that holds the most honey given a set amount of building material.

~~~~~Bees and Math
But we bees know better, our honeycombs show that we are incredible good at geometry, we love hexagons and we can build a perfect one with our eyes closed. And if humans are nice and take care of us, maybe we can give them more than honey, maybe we can give then KNOWLEDGE

~~~~~The bee community
This geometric and architectural marvel is not just something for mathematicians. To start with, the cells are virtually circular or cylindrical. Only due to the heat created by the bees themselves do the cells become warm and elastic and naturally take on the most economical and efficient shape from an energy perspective – the hexagon

As completed hexagons, the cells have a uniform wall thickness of just 0.07 millimetres and are always between 8 and 10 millimetres apart.

The young honey bees are raised in the center of the beehive. As soon as the larvae are old enough, these brood cells are given a wax lid.

The flower pollen is stored in the honeycomb cells beside and under this brood nest area and is not covered with a lid. Above are the honey stores in the honeycomb, which are also covered. Throughout most of the year, the temperature in the beehive is at an optimum 35° Celsius. In combination with the density of insects in the enclosed space, these are the ideal conditions for the spread of disease. But the bee is well prepared for this too. It makes cement (propolis) out of tree resin and pollen, which it uses to seal small holes, crevices and cracks so that pests are kept out or killed off. The inside of the brood cells is also covered with a fine film of propolis. If it gets too hot in the nest, bees at the flight hole create a cooling flow of air using wing movements. The cooling is intensified through the evaporation of water, which is provided by the forager bees. If it gets too cold in the nest, the bees (heater bees) increase the temperature in empty cells between the brood using muscle vibrations.

~~~Zen Zero, Bees and Zen always a point of nature the way of Zero!

Subhuti asked: "What does buddha mean?
Buddha answered: "Buddha is reality. One who thoroughly comprehends all the factors
of existence is a buddha."

Then Subhuti asked: "What does enlightenment mean?" Buddha replied:
"Enlightenment is a way of saying that all things are seen in their intrinsic empty nature, their suchness their ungraspable wonder. Names or words are incidental, but that state which sees no division, no duality, is enlightenment."

Subhuti asked: "If one wants to know emptiness, how should one do it?"
Buddha's reply: "The one who wants to realize emptiness should adore reality, develop a skill in living in the world, & cultivate friends of the same mind. Skill can only be developed in the presence of reality, not otherwise. Endowed with skill, the person gives without the idea of a giver & lives in the realization that all the factors of existence have no ultimate substance."

Empty & calm & devoid of self is the nature of all things. No individual being in reality exists. There is no end or beginning, nor any middle course. All is illusion, as in a vision or dream. All beings in the world are beyond the realm of words. Their ultimate nature, pure & true, is like the infinity of space.

Subhuti was Buddha's disciple. He was able to understand the potency of emptiness, the view going that nothing exists except in it's relationship of subjectivity & objectivity. One day Subhuti, in a mood of sublime emptiness, was sitting under a tree. Flowers began to fall about him. "We are praising you for your discourse on emptiness," the gods whispered to him. "But I have not spoken of emptiness," said Subhuti. "You have not spoken on emptiness, we have not heard emptiness," responded the gods. "This is the true emptiness," & blossons showered upon Subhuti as rain.

The concept of "nothing" had been noticed by Eastern philosophy for thousands of years, but like dark holes in space, it was not understood. Early mathmaticians did not have a term for it. They knew that the absence of any quantity was present, but they were at a loss as to what it was. They could not account for it.

The Hindus were the first to recognize zero, which they called sunya, meaning void or empty. Once they discovered sunya, mathematics as we know it became possible. All computations were revolutionized by the recognition that "nothing was "something." Suddenly, zero existed. 

Then came the mid point on arithmetical number line: minus one, zero, plus one. Number systems developed from this, but the important evolutionary jump was the discovery of nothingness. Binary arithmetic based on one & zero, has made computers possible. Without "nothingness," what is cannot be. Mahayana Buddhisim's emptiness, known as sunya, was the springboard for zen. If originally "not a thing is" (Ma-tsu), then there is no reason to objectify or make an object of what we perceive or know.

Words are not used as concepts in Zen. We can expand this understanding when we realize that objects are interrelated to our perceptions of them. The experience of perception is primary.

In Zen, emptiness is not a concept or goal, nor is it an ultimate state. This is different from the Western scientifc concept that defines emptiness as a state, a vacuum consisting, always in flux.

The founder of Gestalt therapy, Fritz Perls, noted that the void implies no-thingness, only process. Perls believed the void was a source of creativity & therapeutic change.
"Saved By Zero" (THE FIXX-1983)

Zen masters discourage immersion in any kind of empty state. Instead, they help students to discover the process. Hakuin strongly urged students of Zen not to get stuck in the swamp of nothingness.

When you have attained mental & physical peace & quiet, don't get stuck in peace & quiet. Be independent & free, like a gourd rolling & bobbing on a river.

When Yamaoka Tesshu (1836-1888) was a young Zen student, he searched for enlightenment by visitng one Zen master after another. He tried to show each teacher that he knew a great deal about Buddhism.

Talking with Master Dokuon of Shokoku he said, "I know that the mind, the Buddha, all beings & everything in the world does not exist. In fact, the nature of all things is emptiness." Dokuon watched the young student silently, calmly smoking. Without warning, he lifted his bamboo stick & struck Tesshu. Tesshu felt himself fill with anger. Then Dokuon said, "If nothing exists, where did that anger come from?"

Everyday life must continue as always. Tesshu needed to learn to let go of even the concept of nothing as a thing. Instead of trying to make yourself nothing, make nothing your true self. If you get too caught up in trying to be nothing, you are making just as big a mistake as those who are trying to be something. Do not try to be nothing or something; meditate to discover enlightenment.

Many intelligent people understand Zen subjectively, & are unable to let go of their subjectivity. They still their minds without experiencing their real nature, & think this is emptiness. They try to abandon existence to cling to emptiness. This is a serious malady.

If you cling to emptiness & linger in quiescence, you will bob & sink herein: the buddhas & bodhisattvas do not rest their minds this way. Great people sattvas do not rest their minds this way. Great people who clarify the mind understand this mystic message; body & mind naturally sublimated, their action is unchanging. Therefore the wise release the mind to be independent & free.

First set aside all involvements & concerns; do not remember or recollect anything at all, whether good or bad, mundane or transcendental. Do not engage in thoughts. Let go of body & mind, setting them free. When the mind is like wood or stone, you do not explain anything, & the mind does not go anywhere, then the mind ground becomes like space, wherein the sun of wisdom naturally appears. It is as though the clouds had opened & the sun emerged. Just put an end to all fettering connection, & feelings of greed, hatred, craving. defilement & purity, all come to an end. Unmoved in the face of inner desires & external influences, not choked up by perception & cognition, not confused by anything, naturally endowed with all virtues & the inconceivable use of spiritual capacities, this is someone who is free. Not being bound by any good or evil, emptiness of existence, defilement or purity, striving or nonstriving, mundanity or transcendence, virtue or knowledge, is called enlightened wisdom.

Once affirmation & negation, like & dislike, approval & disapproval, & all various opinions & feelings come to an end & cannot bind you, then you are free wherever you may be. This is what is called a bodhisattva at the moment of inspiration immediately ascending to the stage of buddhahood.