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Fractals a Part of African Culture

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Fractals are a part of nature, they are a part of us. Undeniably, fractals also form part of different cultures, long before computer generated fractals were discovered – from the architecture of Indian temples that resemble fractal structure to indigenous African villages where fractals are embedded in their architecture, textiles, art and religion.

According to Ron Eglash, university professor and author of African Fractals: Modern Computing and Indigenous Design, this was not simply unconscious or intuitive. Africans linked these fractal designs to concepts such as recursion and scaling that exists in African indigenous knowledge system.

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Aerial view of Ba-ila settlement in southern Zambia shows fractal pattern

Architecture

Many villages, constructed over many generations without anybody being in charge, formed an intricate fractal pattern as a whole.

Fractal pattern in Ba-Ila village in Africa
Fractal pattern in Ba-Ila village in Africa

Like in southern Zambia, the Ba-ila housing settlements are designed like enormous rings. Each extended family house is like a ring-shaped livestock pen with a gate at the front of the ring. Near the gate are small storage buildings, and moving around the ring, the buildings become progressively larger dwellings, until the largest, the father’s house, is opposite the gate (back of the pen). Thus front to back measures a status gradient for the home. At the back of each family’s house is the household altar.

Similarly, the front of the settlement is the gate. Near the gate are smaller home rings, progressing to larger as we go around the settlement ring. Inside, which is also the back of the settlement is the chief’s house. The front of the chief’s house is the gate, with progressively larger buildings around the ring, until the largest, the chief’s home, at the back.

It is a ring of rings and a status gradient increasing with size from front to back, reflected in every scale of the settlement. The relation of the chief to the tribe is described by the word “kulela,” means “to nurse and to cherish.” He is like the father of the community, and this relationship is echoed throughout family and spiritual ties at all scales and is structurally mapped through self-similar architecture.

Eglash began this research in the 1980s when he noticed the striking fractal patterns in aerial photos of African settlements. He explains this further in the video below –

An African Mokoulek
An African Mokoulek

In the Mandara Mountains of Cameroon live various ethnic groups commonly referred to as Kirdi. Their Mokoulek’s follow fractal design, with small circular granaries and larger circular granaries spiraling within 3 large stone enclosures, which themselves spiral from a central point which is the square part in the blue print.

There is a sort of recipe or algorithm that determines how the system expands to accommodate growth. It is determined by knowledge of the agricultural yield. This volume measure was then converted to a number of granaries and these were arranged in spirals. The design is not simply a matter of adding on granaries randomly, but rather the expansion of a quantitative and deliberate process.

Culture

African gods of cyclic change represented using fractals
African gods of cyclic change represented using fractals
Log spirals in Ghana symbolize the spiritual force of life
Log spirals in Ghana symbolize the spiritual force of life

Not only architecture, but fractals are also seen in African textiles, sculptures, masks, religious icons and cosmologies.

In Ethiopia, fractals can be seen in crosses (with a three-fold iteration) and also in the Lalibela churches.

Fractal imagery is used in African religions to show gods with the most and the least spiritual power. Gods representing orderly, cyclic patterns (such as Nummo in Mali and Dan in Benin, shown above) tend to have low power. Gods associated with the power of life like (Nyame in Ghana, Mawu in Benin) have higher power.

Ethiopian cross showing use of fractal shape
Ethiopian cross showing use of fractal shape
Fractal patterns in cornrow hairstyles, every braid is a fractal in itself
Fractal patterns in cornrow hairstyles, every braid is a fractal in itself

The same principle of construction based in a fractal shape can be applied to designing Cornrow or braided hairstyles. Africans have been using fractals to create beautiful and intricate hairstyles for a long time, braiding iterations of a same form.

african blanket
Design on a African Blanket

Even their wedding blanket, which is primarily woven from camel hair, has an interesting story attached to it. The weavers say that the blanket has spiritual energy woven into each pattern and that every successive iteration shows an increase in this energy. They believe that if the work stops in the middle (where the pattern is most dense, and hence the spiritual energy is greatest) they would risk death. So the wedding couple has to keep the weavers awake until its complete by giving them food and kola nuts.

The African focus on fractals emphasizes their own cultural priorities: it can even be heard in their polyrhythmic music (similar simultaneous rhythms at different scales).

This is an amazing find that shows how fractals play a vital role in forming the fabric of our universe, its not only present in plants, trees, clouds, mountains, rivers, etc., but its present in ancient civilizations across the world that mimic our cosmic design.

References:

African fractals

Sacred Humor: Cultivating a Good Sense of Humor

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“Humor must not professedly teach and it must not professedly preach, but it must do both if it would live forever.” ~ Mark Twain

A good sense of sacred humor transubstantiates the world. It dethrones the emperor in the mind while revealing he’s not even wearing any clothes. By maintaining a healthy sense of humor we avoid the stultifying situation of being in total control of ourselves, and the equally fruitless situation of losing control altogether.

Let us not be serious. Let us simply be sincere. Like Swami Beyondananda said, “It’s time to take humor seriously and seriousness humorously.”

A certain infusion of laughter, even in its least popular form, is a prodigious help towards bearing the hardships of life. Self-seriousness gets us nowhere but closer to a denial of reality. Humor, on the other hand, gets us everywhere closer to a self-actualization of reality.

sacred humor

This is because having a good sense of humor unites wisdom and acumen with foolishness and enchantment. The cosmos opens up, as it opens us up, to its infinite mysteries. No box, no comfort zone, no mental paradigm ever stood a chance against the self-empowering adaptability of a healthy sense of humor.

What is sacred humor?

Sacred humor is a divine self-awareness of the absurdity of the human condition. It is the delighted recognition of our own fallibility and a loving cynicism of our own pretense. It is the full recognition that we are each god-in-hiding. We see how our Soul is playing hide-and-go-seek with our Ego.

Humor debunks the ego’s pride in itself, not masochistically, but in the spirit of cosmic joy. Let us embrace this particular flavor of absurdity, let us hug the hurricane, let us bosom the apocalypse. If we should transcend the paradigm, so be it. If not, at least we’re laughing.

Sacred humor reminds us to work hard, but to play harder. Having a sense of play transforms life into a sacred game, a game that alters the way in which the human soul interacts with the cosmos.

Is it not in the throes and ecstasy of play that we are the most happy? Is it not through the free-flow of artistic non-attachment that true happiness is realized?

Playfulness opens us up to our own unique creativity and capacity for personal fulfillment. One of the keys to happiness is keeping the passion, love, and joyful exuberance of life in the moment: carpe punctum (seize the moment) leads to carpe diem (seize the day) leads to carpe vita (seize the life).

Amidst the absurdity of it all, humor is the glue that binds. It all at once humbles us by knocking us off hand-me-down high-horses, and props us up by providing a platform upon which we can laugh at the “powers-that-be.” All while wearing a goofy hat. It refuses to allow us to get ahead of ourselves, while at the same time it propels us ahead of the “horse and cart” of our expectations.

Having a good sense of humor is having flexibility in the face of life’s demands. It is the realization that our expectations mean nothing, and that sacred laughter can usually break the spell our expectations cast over our lives.

At the end of the day, the cosmos is an infinite musical vibration, a sacred resonance. We are the divine instrument upon which that music gets played. But it is our responsibility to keep our instrument tuned. If our instrument is not tuned then the music that gets played will be inaudible and dissonant.

The video below shows Liza Donnelly talks about how sacred humor can empower women to change the rules.

If our instruments are tuned then the music that gets played will be audible and assonant. It really is that simple. The universe is already tuned. It is waiting for us to tune ourselves so that it can play its sacred music upon us.

The best way to tune the body is through exercise and meditation. The best way to tune the mind is to read and reflect. The best way to tune the soul is to have, and to practice, a good sense of humor.

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Waldo finds himself

Transforming Inertia into Authentic Courage

“Belief in truth begins with doubts of all truths in which one has previously believed.” ~ Friedrich Nietzsche

Metaphorically speaking, beasts of burden are incapable of creating new values. They are only capable of carrying old values. They will suffer their entire lives, broken and trod-upon, to carry those old values. There is perhaps no beast of burden more symbolically “weighed-down” than the pack mule.

Sadly, modern man has become a pack mule whose reverence for his burden has become a crippling thing. He carries the weight of ages – both religious and political – on his worry-heavy back and grief-stricken shoulders. He is the bearer of existential angst, reverent only to the historic heaviness of prescribed values.

transforming-inertia-into-courage

The most frightening task of a weight-bearing animal is the creation of new values. This causes such a fear in him that his heart clinches in his chest, threatening to suffocate him with fear. What could be so terrible as to cause such inner crises? Is it the unknown, the new motion, the self-propelled wheel, the blank slate of freedom? Or is it simply the fear of change?

A sacred No! is needed; a casting-away of spoon-fed ideologies and parochial burdens, and a seizing of a new dawn. The announcement of “I will!” in the face of “Thou shalt!” But this is no easy task. Much transformation is needed. The spirit must un-burden itself.

Self-questioning courage is needed. What emerges after we allow the cosmos to reorient our mind-body-soul? What replaces the overburdened pack mule? A lion: a creature capable of mighty will, whose roar is a sacred No! in and of itself, whose claws are capable of clipping yokes and cutting away the straps that bind the heavy burden of outdated values.

The lion is a courageous archetype. Sheep vacillate, donkeys trudge, but a lion pounces. A lion acts and reacts, proactive with its decision-making. A lion is a symbol for courage in the face of uncertainty. And what could be more uncertain than the dark night of our culture’s current existential crisis?

And so with our hair wild, and our hearts pressed up against the uncertainty of the world, our being is ready for its becoming. We are ready to be transformed into lions.

Rise like Lions after slumber in unvanquishable number, shake your chains to earth like dew, which in sleep had fallen on you. Ye are many — they are few. ~ Percy Bysshe Shelley

pack-mule

But, Caveat leonem, lion beware. Courage is the treat but pride is the trick. Every sacred No! must eventually discover a reciprocal sacred Yes! lest hubris lead to tyranny. Pride can cause us to become too hard and rigid in our ways.

When our courage becomes prideful we become hard and our third-eye closes. Our garden dries up and the Spirit Lotus, representative of soft innocence, shrivels up and dies.

As the Kalahari Bushmen say, “you must first get soft before tapping into transformative energies,” into the energy of the universe that they refer to as N|om. It takes the lion’s courage to transcend the pack mule’s burden, but it takes a softening, a return to innocence, for real transformation to occur. Courage breaks the spell, but courage that becomes Power can also be the spell.

When we get out of our own way – that is, when we nip Reverence (the overburdened mule) and Pride (the hardness of the lion) in the bud – we free ourselves to unfold the Spirit Lotus, to kick open the third-eye, to awaken the mysteries that have been hiding within. Having done this we unleash a torrent of creative energies that propel us out of small mind and into Big Mind; out of hard mind and into soft mind. What we discover is a spiritual plasticity that awakens our primordial self, our eternal innocence.

It is the Eternal Innocent that tempers the lion’s ardor. Without it we become stuck in the reverence reaped from the glory that our courage sowed, and we risk becoming tyrants. Wisdom is perishable. Altruism is impermanent. It is all too easy to fall victim to the charm of pride (lion) and reverence (the mule). Even King Solomon the Wise descended into tyranny.

Our eternal innocence is powerful because it is an arrow of humility that pierces our self-serious agenda. It injects a liquid innocence that softens our too-hard, too-reverent hearts, and leaves us open to progressive change. The gift of eternal innocence is eternal becoming.

In the end, transformation is not without risk. Change does not imply enlightenment. And so we must remain circumspect, keeping our lion’s eye focused on the prize but our third-eye open to the vicissitudes of life’s many illusions, especially those of pride and self-deception.

Courage will become pride, pride will become reverence, and reverence will become stagnation unless a newfound courage (found within eternal innocence) can be “reborn” to continue the cycle. Once again, a return to playful innocence is the healthiest bridge toward the numinous wisdom hidden within us.

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Pack mule
Android Jones

Let Yourself Be Worthy

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“The least of things with a meaning is worth more in life than the greatest of things without it.” – Carl Jung

Pretend I’m an enlightened Yogi-Zen Master sitting high on a jagged, wind-blasted, unforgiving mountain. You’ve traveled through hell and brimstone to reach the top. The path was filled with a plethora of trials and tribulations.

You’re now exhausted, covered in sweat, and seeking only one thing: wisdom. Imagine me illuminated, meditating, glowing like a fractal-Buddha. My wrinkles, my long gray beard and my wise eyes staring down the improbable universe that surrounds us.

You are taken aback, astonished by my vibrant, thunderously quiet energy. You’ve come for answers. And though you’re skeptical, your curiosity trumps your doubt. The stories you’ve heard about me could no longer be ignored.

And so you ascended the mountain, and now you’re standing in front of me, nearly out of breath, and you ask:

“Oh wise master, how do I conquer fear, guilt, shame, and attachment?

I look down at you from my precarious stone perch, eyes blazing with thousand-year-old wisdom. Moments go by without a word. The silence is deafening. Finally you can take it no longer,

“What,” you plead, “what is the answer?”

I open my mouth as if to speak. More moments go by. Seconds pass as if in infinities. Then, finally, I say only four words: Let yourself be worthy.

That’s right! You want to conquer fear, guilt, shame, attachment? Let yourself be worthy. You want to break mental paradigms and stretch comfort zones? Let yourself be worthy.

You want to think outside of boxes and hijack evolution into revealing its secrets? Let yourself be worthy. You want to discover love and recondition preconditions? Let yourself be worthy.

You want to usurp thrones, burn down high-horses, and change the world? Let yourself be worthy. The irony is that you just climbed a MOUNTAIN! That very act was an act of self-worth. I mean, the very act of climbing that mountain was an act of conquering fear, and letting go of guilt, shame, and attachment.

You had the answer within you all along.

You let yourself be worthy of climbing that mountain, only to find that the journey WAS/IS the thing. My answer “let yourself be worthy” is the answer to almost any “how to” question one could ask.

All too often we live slow, inert, humdrum lives, grinding our way through a nine-to-five day, oblivious to what lies outside our comfort zones. We are mostly ignorant to what looms outside the almighty “box” of the status quo.

We tend to be consumed by our over-consumption. We’re more inclined to decline into the quotidian stagnation of our habits, than to rise up and “seize the day.” That is, unless we allow ourselves to be worthy.

The beauty of it is that nobody else gets to dictate our own worth. We may give into people’s opinions on the matter, but when it really comes down to it, we are the ones who allow ourselves to be worthy or not. Every single one of us has the capacity to “right the ship.”

Every single one of us has the potential to “change the world.” We just have to allow ourselves to do it.

We have to give ourselves permission to become game-changers. Otherwise, we’ll just keep playing the same old boring games. We are, each of us, valuable. We are, each of us, precious contributors.

But it is up to each of us alone to wrestle whatever inner-demon needs to be wrestled, in order to clear the path for our potential to shine. Fear, guilt, shame, grief, lies, illusions, ego-attachment; all these things dissolve in the face of self-worth.

Embrace your fear and insecurities. Embrace your anger and your doubts. Dance them into something worthwhile. Transform the fear into courage by letting yourself be worthy. Transform the anger into passion by letting yourself be worthy. Dance with the fire. If it burns you to ashes, rise like a phoenix. Life is too short to live it second-guessing your authenticity.

Your unique gift to the world simply cannot be given if you’re worried about the nature of the gift. You are here to shake things up and create something that nobody else can. Stop holding yourself back.

Let your fingerprints glimmer under the black light of everything you love. Seize your life by seizing the day by seizing the moment. Fall in love with yourself all over again. Be fierce. Be brilliant. Be extraordinary. But first, let yourself be worthy.

Image source

Restore your Self worth
Be your own hero

Existential Crisis and How to Overcome it

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An existential crises is that point in our lives where we encounter the absurd as a formidable opponent. It has crept into our lives, uninvited, and challenging the very meaning of existence. The crisis is strong: it can take away the colors of the world around us making it dull. Time, rather than a friend can become the enemy, and life, rather than a blessing, turns into a problem.

Crisis occur either when the answers to our fundamental questions are found or not found, either way, it poses a challenge that involve the whole of our being. Once we have emerged victorious, we feel a huge amount of vital energy that drives us to self-fulfillment.

We face questions like: what does it mean to be alive, what does it mean to be existing as a human being? What is my purpose? Is there a set of predetermined meaning or is it something that we construct with our own convictions?

Existential is a philosophical current captured mainly in literary works, which revolves around how we experience life with our human condition, that is, life as we live it, alongside with the good and troublesome parts.

The premises few of the philosophers talk about are brave ones, usually stressing on liberty and dealing with nothingness. One of them was the Danish philosopher, Søren Kierkegaard, also known as the “father of existentialism.” He proposed that we can “operate” within three ontological stages, which are –

soren-kierkegaard-philosopher1) The aesthetic: characterized by sensual quests and having vague determination in life. Life in this stage is frugal and vaporous.

2) Then comes the ethical stage: It is lived when there are commitments in our lives. It can be things such as ethical principles, societal obligations that gives meaning to all our actions, which in turn build our life like a project, solid and rigid and bound with compromises.

3) Finally comes the religious stage: This is the stage when one falls into a deep love for life and for others, nothing is burdensome and everything feels joyous; life is no longer a moral battle that need to be implemented but rather a phenomena worthy of veneration.

The movement between the stages is done through “leap of faith,” which is a possible means for an individual to reach a higher stage of existence that transcends and contains both an aesthetic and ethical value of life.

It is a radical metamorphosis that would make ourselves look at our past selves like the butterfly would see the caterpillar. The only sins in life are to “downgrade ourselves” from one stage to another: for we are losing a precious modality of being.

Meaning of life existential crisis

Another existentialist was Jean Paul Sartre, a great French philosopher from the 20th century who had some beautiful views, that were forged while struggling with the factual and ideological calamities faced during the World War II.

He wrote some amazing plays, like “The Flies” where he sought to create a brave ideological model that could cope with the devastation in a post-war period. One of his other works “No exit,” emphasized the existentialist idea that people are judged solely on the things they have done. (like José Ortega y Gasset said: I am I and my circumstances).

He said that freedom is fueled by the fact that we are a conundrum, a postulation that evades solution. Emerging out of uncertainty we have no essence. He said, “Existence precedes essence.” We exist, but not as a fixed thing, we have to build ourselves standing on nothingness, and not on any set of characteristics. Our destiny (not in a deterministic way, but rather as a hardwired potentiation) is to be free!

While the Spanish novelist Miguel de Unamuno captured the struggle of an existentialist dealing with external forces, that seek to bend our path towards self-realization. In one of Unamuno’s key works, “Mist,” there is a character Augusto that rebels against the author. Having heated debates, Augusto asserts that he exists, and therefore, he is free to take the course of his life into his own hands.

We have our own perspectives; in fact, there must be as many perspectives on existence as there are people who are and will exist. But regardless, when we encounter a crisis, a question that seems like a formidable opponent, there is always a way to defeat it: go within.

I propose the following method: Let us stop trying to find a solution to the big questions in life. Instead of finding what life is, we have to be life. Just like the moon shines, and the fish swim, each of us have profound passions, follow them, it is to do our dharma.
The-meaning-of-life-is-just-be-alan-watts
To follow one’s passions is to open the inner door to the outer world; and when we do this, we start extending ourselves into the outer world. It is by connecting with oneself that we can see how it can be absurd to ask for the meaning of life, for you already know what it is and you can base it on the warm feeling you get in your stomach once you stop holding back on what really moves you.

It is true that to have a direction is important. As Seneca de Younger once said: “if one does not know to which port one is sailing, no wind is favorable.”