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E delightful and comforting joy of the Holy Trinity THE GEOMETRY OF EVANGELII GAUDIUM Ateneo Ponticio Regina Apostolorum Rome, March 2014 Carlos E. Puente.

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Presentation on theme: "E delightful and comforting joy of the Holy Trinity THE GEOMETRY OF EVANGELII GAUDIUM Ateneo Ponticio Regina Apostolorum Rome, March 2014 Carlos E. Puente."— Presentation transcript:

1 e delightful and comforting joy of the Holy Trinity THE GEOMETRY OF EVANGELII GAUDIUM Ateneo Ponticio Regina Apostolorum Rome, March 2014 Carlos E. Puente University of California, Davis

2 Thesis We humans, with a soul, may learn from recent advancements regarding the geometry of natural complexity in order to ll our hearts with the joy of the Gospel and take the mission to share the good news in a renewed fashion…

3 Mountain-like proles Mountain-like proles (Barnsley, 1988) seeking extensions to mountain surfaces to study evolution of rivers …

4 Mountain-like proles Mountain-like proles (Barnsley, 1988) rst join the left, middle, and right points from the middle of the two segments go up and down a quantity z

5 Mountain-like proles Mountain-like proles (Barnsley, 1988)

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7 Other interesting proles Other interesting proles (Barnsley, 1988) case + - is the mountain case - - alternates ups and downs case + + gets new points always going up

8 Other interesting proles Other interesting proles (Barnsley, 1988) case + - is the mountain case - - alternates ups and downs case + + gets new points always going up as z increases, the fractal wires become innite and ll more space

9 Other interesting proles Other interesting proles (Barnsley, 1988)

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11 Turbulence and multifractals (Meneveau and Sreenivasan, 1987) a cascade of eddies generating intermittent violence progressive fragmentation leading to thorns over dust a universal process that ends in dissipation

12 Turbulence and multifractals (Meneveau and Sreenivasan, 1987)

13 Turbulence and multifractals (Meneveau and Sreenivasan, 1987)

14 A geometric approach to complexity A geometric approach to complexity (Puente, 1992, 1994)

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18 Projections galore varying interpolating points with statistics as in natural data sets

19 A detailed storm in Boston A detailed storm in Boston (Puente and Obregón, 1996) a model projection (center) of a real data set (right) model also preserves statistical and chaotic features of data

20 Extensions to higher dimensions Extensions to higher dimensions (Puente, 1994) a pollution pattern based on a wire in four dimensions similarly for rainfall patterns and others…

21 The limit in the case + – The limit in the case + – (Puente et al., 1996)

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25 Gaussians everywhere! Gaussians everywhere! (Puente and Klebano, 1994)

26 elliptical bells also happen and oscillations among bells

27 Gaussians everywhere! Gaussians everywhere! (Puente and Klebano, 1994) elliptical bells also happen and oscillations among bells portions of the wire also define bells, ad infinitum

28 Gaussians everywhere! Gaussians everywhere! (Puente and Klebano, 1994) elliptical bells also happen and oscillations among bells portions of the wire also define bells, ad infinitum proof of higher-dimensional Gaussian remains elusive

29 Treasures inside the bell Treasures inside the bell (Puente, 2003)

30 superposition of many lovely patterns give perfect circles

31 Treasures inside the bell Treasures inside the bell (Puente, 2003) superposition of many lovely patterns give perfect circles in the space-lling limit there is hidden order in chance

32 Designs inside the bell Designs inside the bell (Puente, 2003) suitable iterations of simple maps yield arbitrary ice crystals the rosette of DNA is coded via the binary expansion of π

33 The limit in the case + +

34 a delightful bell concentrated at innity

35 The limit in the case + + a delightful bell concentrated at innity the maximally positive wire lters any disorder and reflects true LOVE

36 The limit in the case + + a delightful bell concentrated at innity the maximally positive wire lters any disorder and reflects true LOVE Where, O death, is your victory? Where, O death, is your sting?

37 The limit in the case + +

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39 e majestic trilogy the Father mighty in heaven the Son always perfect and positive and the Holy Spirit that comes from them

40 On the life of Jesus Christ and beyond

41 His birth and miracles, the Eucharist in a piece of the wire

42 On the life of Jesus Christ and beyond His birth and miracles, the Eucharist in a piece of the wire unity with the Father, baptism, transguration, resurrection, and Ascension

43 On the life of Jesus Christ and beyond His birth and miracles, the Eucharist in a piece of the wire unity with the Father, baptism, transguration, resurrection, and Ascension Assumption of Mary and rapture of the Church, St. Augustine

44 Other matters of faith

45 look not on our sins, but on the faith of your Church

46 Other matters of faith look not on our sins, but on the faith of your Church love covers a multitude of sins, the esh produces death, but the Spirit life

47 Other matters of faith look not on our sins, but on the faith of your Church love covers a multitude of sins, the esh produces death, but the Spirit life the law is only a shadow, everlasting sin against the Holy Spirit

48 More on the Holy Spirit

49 an angel-winged transformation containing innite unity

50 More on the Holy Spirit

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52 Yet more on the Holy Spirit also from Jesus parable of the vine and the branches: I. Jesus is the vine, the essence, or number 1

53 Yet more on the Holy Spirit

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57 The Eucharistic Doxology

58 Trinitarian numbers always found on each block: 0, 1 and

59 Trinitarian numbers

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61 Our options conduction inniteness plenitude trust dissipation niteness solitude disbelief

62 Our options conduction inniteness plenitude trust faith freedom one day at a time harmony dissipation niteness solitude disbelief doubts slavery anxiety intermittency

63 Our options conduction inniteness plenitude trust faith freedom one day at a time harmony light heavenly always + Love dissipation niteness solitude disbelief doubts slavery anxiety intermittency darkness earthly a bit else

64 e amazing bell e bell peals silent, o o reecting its peace, and inside it gathers lovely masterpiece. Symmetric pure beauty, o o o mighty delight, this limit in fullness stores lifes designs. Such vessel contains, o o alephs of all tastes, diatoms and crystals including DNA. But there is a case, o o reason to this call: the forward selection that raises it all. ere is clear choice that rotates the 8, by loving sincerely we surely converge.

65 Notice, this is cogent: the bell's central theme, by living in freedom one fullls the dream. There is transformation that kindles the heart, by loving in plenitude we become smart. For love mends the spiky and takes to the clouds, by living the present one joins blessed crowd. O see, this is truthful: the plus all the way, by loving the enemy we learn how to play. Dimensional growth, oh essence of life, by living in harmony one nails normal plan. O notice the symbols, oh irrational might, by loving simplicity we experience the light. O listen, you colleague, let's go out the cave, by living in unity we shall all prevail. O notice, my friend, the plea from a bell, by loving and loving joy will have no end.

66 e antidote From x into y as unnatural flow, mapping immensity leaving dust below. From x into y inspiring all awe, o plus of liberty forever aglow. From x into y only a tiny piece, wired to totality o normal release. From x into y o innite fleece, by packing vitality no thorns but peace. From x into y singular the dough, symphony of unity breeding single row. From x into y by breaking a spell, amazing simplicity o refuge from hell. From x into y from holy plateau, perennial immunity o spirit on the go. From x into y triune is the cell, omnipotent divinity o sacred God's bell.

67 Y = X

68 is justice that illuminates, is balance that fascinates: Y = X. Y = X is the practical alliance, is the precious reliance: Y = X. Y = X is true word that matures, is a spiral that endures: Y = X. Y = X is the spotless resting place, is the state of mighty grace: Y = X. Y = X is smoothness that esteems, is a lovely dove that gleams: Y = X. Y = X is the short and precious root, is the weaving of the truth: Y = X. Y = X is a future that forgives, is crowned science that is: Y = X. Y = X is the ever tender tune, is the impartial tribune: Y = X.

69 Y = X is all innocence that heeds, is a garden with no weeds: Y = X. Y = X is the simple clear sign, is the majestic design: Y = X. Y = X is brotherhood that heals, is diversity that shields: Y = X. Y = X is the real chaste embrace, is the goodness of a yes: Y = X. Y = X is a smile that edies, is a spin that recties: Y = X. Y = X is all gentleness in us, is the everlasting plus: Y = X. Y = X is inspiration that calls, is growing to be small: Y = X. Y = X is the forgotten territory, is the improbable story: Y = X.

70 Y = X is revelation that nests, is surrendering the rest: Y = X. Y = X is the dustless short incline, is the faithful narrow line: Y = X. Y = X is renouncing all spears, is experiencing no fears: Y = X. Y = X is the perennial giveaway, is pure life with no decay: Y = X. Y = X is the only perfect remedy, is loving, even the enemy: Y = X.

71 Y = X is revelation that nests, is surrendering the rest: Y = X. Y = X is the dustless short incline, is the faithful narrow line: Y = X. Y = X is renouncing all spears, is experiencing no fears: Y = X. Y = X is the perennial giveaway, is pure life with no decay: Y = X. Y = X is the only perfect remedy, is loving, even the enemy: Y = X.

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