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9-fold Higher Order Patterning of Tao Te Ching Insights

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9-fold Higher Order Patterning of Tao Te Ching Insights
Magic squares
Pan-magic squares
Bimagic squares
Most-perfect magic squares
Magic cubes

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This is part of a commentary on the Tao Te Ching Interpreted Succinctly (original order) and (alternative order)
See also Commentary on Tao Te Ching Interpretation: and the possibility of higher order patterning
Navigational implications are explored in Hyperspace Clues to the Psychology of the Pattern that Connects.
Also published in modified form in Statistics, Visualizations and Patterns (Vol 5 of the Yearbook of International Organizations, K G Saur Verlag, 6th edition, 2006/2007, as section 10.2.3). Further developed in 9-fold Magic Square Pattern of Tao Te Ching Insights experimentally associated with the 81 insights of the T'ai Hsüan Ching


Experimental presentation

Table 1: The basis for the following table of the 81 insights of the Tao Te Ching is discussed in a separate commentary. The rows of the table provide 9 groups in terms of the conventional ordering in the Tao Te Ching. The columns of the table provide 9 different groups in terms of the alternative ordering represented by those columns.

Tabular presentation of the 81 insights of the Tao Te Ching
  a b c d e f g h i
I 1: Journeying through unnaming the myriad patterns of the past 2: Engaging without engaging 3: Cultivating non-engagement 4: Having been there; having done that 5: Engendering through complementarity 6: Completing 7: Enduring 8: Easing forward, going wherever, without competition 9: Avoiding excess
II 10: Centering through learning 11: Benefiting from what is not 12: Sensing the inner 13: Governing others appropriately 14: Living the present 15: Subtly stilling to clarify the troubled 16: Accepting wisely the enduring cycle of beginning and ending 17: Acting simply, enabling others to value their own initiatives 18: Failing to exalt merit
III 19: Being untroubled through needing little and wanting less 20: Living uncertainty, confusion and strangeness 21: Knowing the strange uncertainties offered in the moment 22: Acting contrarily 23: Being in the moment 24: Avoiding disproportion and self-satisfaction 25: Following the unnamable 26: Becoming insightful through assiduous handling of obligations 27: Educating the challenged as the inspiration of the wise
IV 28: Knowing the other, and retaining one's identity and quality 29: Doing "nothing" to the world 30: Leading through inspiration that does not seek to win 31: Using weapons, when there is no choice, with a calm, still mind 32: Knowing when to cease making essential distinctions 33: Applying to oneself the skills developed successfully to deal with others 34: Achieving greatness without great doings 35: Holding fast to the eternal process through the very ordinary 36: Prevailing through weakness
V 37: Self-organizing of myriad things 38: Abiding in letting go and doing nothing 39: Enwholing to sustain the integrity of the subtle 40: Returning from weakness 41: Understanding appropriateness 42: Losing as the key to the cycle of winning and losing 43: Ensubtling to enliven the impenetrable 44: Self-constraining fruitfully 45: Remaining calm and clear to ensure that the capacity for appropriateness is renewed
VI 46: Knowing that enough is enough 47: Understanding the truth and opportunity of the moment 48: Unlearning 49: Enminding the world to see the ordinary through the eyes of children 50: Living in recognition that this implies dying 51: Nurturing life according to natural processes 52: Understanding insignificant beginnings 53: Ensuring modesty 54: Ensuring that rules for oneself are consistent with those for the world
VII 55: Knowing harmony as knowing the eternal 56: Knowing that discourages talking 57: Avoiding instrumental thinking, initiation of innovative change and regulation of action 58: Bumbling on without forcing 59: Gathering insight to ensure staying power 60: Allowing potentially disruptive forces to have their place 61: Lying low to ensure integrity and continuity 62: Honoring the appropriate as a gift 63: Focusing on the challenge of beginnings
VIII 64: Attending to what may have been neglected in the achievement of undertakings 65: Being in ignorance of appropriate action 66: Following rather than leading 67: Leading the mightiest by not presuming to do so 68: Avoiding competition 69: Yielding to antagonism 70: Being obscure 71: Knowing without knowing 72: Fearing the dangers of acting inappropriately
IX 73: Acting silently, non-competitively, and non-directively 74: Avoiding the presumptuousness of usurping the judgement on others 75: Living for more than the pursuit of wealth 76: Bending in response to pressure 77: Redistributing from those who have to those who have not 78: Recognizing the counter-intuitive, paradoxical nature of appropriate action 79: Fulfilling obligations 80: Enjoying the freedom of movement in relation to what is to hand 81: Doing without outdoing

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