3. e u nitive art of the Most Blessed Trinity
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Transcript of 3. e u nitive art of the Most Blessed Trinity
3. e unitive art ofthe Most Blessed Trinity
Carlos E. PuenteUniversity of California, Davis
THE KEY ROLE OF SCIENCE IN THE NEW EVANGELIZATION
Ateneo Pontificio Regina ApostolorumRome, May 2013
ThesisWe humans, with a soul,
may learn from recent advancements
regarding natural complexity
in order to find the peace of Christ
and share the good news in a novel way…
Mountain-like profiles(Barnsley, 1988)
seeking extensions to mountain surfaces to study evolution of rivers …
Mountain-like profiles(Barnsley, 1988)
first join the left, middle, and right pointsfrom the middle of the two segments go up and down a
quantity z
Mountain-like profiles(Barnsley, 1988)
now join from left to right and go up and down the quantity
Mountain-like profiles(Barnsley, 1988)
now join from left to right and go up and down the quantity … the mountain arises adding more points up and down in
powers of z
Other interesting profiles(Barnsley, 1988)
case + - is the mountaincase - - alternates ups and downs
case + + gets new points always going up
Other interesting profiles(Barnsley, 1988)
case + - is the mountaincase - - alternates ups and downs
case + + gets new points always going upas z increases, the fractal wires become infinite and fill more
space
Other interesting profiles(Barnsley, 1988)
wires may also be found iterating two linear maps:
Other interesting profiles(Barnsley, 1988)
wires may also be found iterating two linear maps:
Other interesting profiles(Barnsley, 1988)
wires may also be found iterating two linear maps:
the signs correspond to those of and , with magnitudes equal to z
Turbulence and multifractals(Meneveau and Sreenivasan, 1987)
⋮
a cascade of eddies generating intermittent violenceprogressive fragmentation leading to thorns over dust
a universal process that ends in dissipation
Turbulence and multifractals(Meneveau and Sreenivasan, 1987)
⋮
the spiky set is the histogram of points obtained while iterating: using a 70-30 biased coin step by step
Turbulence and multifractals(Meneveau and Sreenivasan, 1987)
⋮
the spiky set is the histogram of points obtained while iterating: using a 70-30 biased coin step by step
wires and textures are related: histograms over y? hydrology?
A geometric approach to complexity(Puente, 1992, 1994)
A geometric approach to complexity(Puente, 1992, 1994)
is “illumination” on a wire and 𝑑𝑦 is derived projection
A geometric approach to complexity(Puente, 1992, 1994)
is “illumination” on a wire and 𝑑𝑦 is derived projection
is also a transformation of turbulence
A geometric approach to complexity(Puente, 1992, 1994)
is “illumination” on a wire and 𝑑𝑦 is derived projection
is also a transformation of turbulence“shadow” appears random but is entirely
deterministic
Projections galore
varying interpolating pointswith statistics as in natural data sets
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
Extensions to higher dimensions(Puente, 1994)
a pollution pattern based on a wire in four dimensions
similarly for rainfall patterns and others…
The limit in the case + –(Puente et al., 1996)
The limit in the case + –(Puente et al., 1996)
is a Gaussian curve for any non-discrete
The limit in the case + –(Puente et al., 1996)
is a Gaussian curve for any non-discrete a surprising bridge from dissipation to conduction related
toLOVE
The limit in the case + –(Puente et al., 1996)
is a Gaussian curve for any non-discrete a surprising bridge from dissipation to conduction related
toLOVEcase - - yields oscillations between two bells
Gaussians everywhere!(Puente and Klebanoff, 1994)
Gaussians everywhere!(Puente and Klebanoff, 1994)
elliptical bells also happen and oscillations among bells
Gaussians everywhere!(Puente and Klebanoff, 1994)
elliptical bells also happen and oscillations among bellsportions of the wire also define bells, ad infinitum
Gaussians everywhere!(Puente and Klebanoff, 1994)
elliptical bells also happen and oscillations among bellsportions of the wire also define bells, ad infinitum
proof of higher-dimensional Gaussian remains elusive
Treasures inside the bell(Puente, 2003)
Treasures inside the bell(Puente, 2003)
superposition of many lovely patterns give perfect circles
Treasures inside the bell(Puente, 2003)
superposition of many lovely patterns give perfect circles
in the space-filling limit there is hidden order in chance
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
The limit in the case + +
The limit in the case + +
a delightful bell concentrated at infinity
The limit in the case + +
a delightful bell concentrated at infinitythe maximally positive wire filters any disorder and reflects
true LOVE
The limit in the case + +
a delightful bell concentrated at infinitythe maximally positive wire filters any disorder and reflects
true LOVEWhere, O death, is your victory? Where, O death, is your sting?
The limit in the case + +
dx may be any process yielding a power-law,
The limit in the case + +
dx may be any process yielding a power-law, distributions of natural and man-made
complexity:“heavy tails” as in earthquakes, wars, and wealth
inequalities
e majestic trilogy
the Father mighty in heaventhe Son always perfect and positive
and the Holy Spirit that comes from them
On the life of Jesus Christ and beyond
On the life of Jesus Christ and beyond
His birth and miracles, the Eucharist in “a piece of the wire”
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 and transfiguration
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 and transfiguration
His resurrection and ascension, assumption of Mary, rapture of the Church,
St. Augustine
Other matters of faith
Other matters of faith
“look not on our sins, but on the faith of your Church”
Other matters of faith
“look not on our sins, but on the faith of your Church”“love covers a multitude of sins,” “the flesh produces death,
but the Spirit life”
Other matters of faith
“look not on our sins, but on the faith of your Church”“love covers a multitude of sins,” “the flesh produces death,
but the Spirit life”“the law is only a shadow,” “everlasting sin against the Holy
Spirit”
More on the Holy Spirit
More on the Holy Spirit
an “angel-winged” transformation containing infinite unity
More on the Holy Spirit
an “angel-winged” transformation containing infinite unityas the Holy Spirit is reflected in the loving spiral of number
More on the Holy Spirit
an “angel-winged” transformation containing infinite unityas the Holy Spirit is reflected in the loving spiral of number
it is also seen in the irrational number , for the calculus of love yields
More on the Holy Spirit
an “angel-winged” transformation containing infinite unityas the Holy Spirit is reflected in the loving spiral of number
it is also seen in the irrational number , for the calculus of love yields
also from Jesus’ parable of the vine and the branches:
Trinitarian numbers
always found on each block: 0, 1 and ∞
Trinitarian numbers
always found on each block: 0, 1 and ∞the Father in , the Son in , and the Holy Spirit in
Trinitarian numbers
always found on each block: 0, 1 and ∞the Father in , the Son in , and the Holy Spirit in
the “irrationals” in the formula of the bell invite us to freedom!
𝑓 (𝑥 )= 1√2𝜋
𝑒−𝑥2 /2
Our optionsconductioninfinitenessplenitude
trust
dissipationfinitenesssolitudedisbelief
Our optionsconductioninfinitenessplenitude
trustfaith
freedomone day at a
timeharmony
dissipationfinitenesssolitudedisbeliefdoubtsslaveryanxiety
intermittency
Our optionsconductioninfinitenessplenitude
trustfaith
freedomone day at a
timeharmony
lightheavenlyalways +
Love
dissipationfinitenesssolitudedisbeliefdoubtsslaveryanxiety
intermittencydarknessearthlya bit −
else
e amazing bell
e bell peals silent, o o
reflecting its peace,and inside it gatherslovely masterpiece.
Symmetric pure beauty, o o
o mighty delight,this limit in fullnessstores life’s 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
selectionthat raises it all.
ere is clear choicethat rotates the 8,by loving sincerely
we surely converge.
Notice, this is cogent:the bell's central
theme,by living in freedom
one fulfills 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 presentone joins blessed
crowd.
O see, this is truthful:the plus all the way,by loving the enemywe learn how to play.
Dimensional growth,oh essence of life,
by living in harmonyone nails normal plan.
O notice the symbols,oh irrational might,by loving simplicitywe 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 lovingjoy will have no end.
e antidote
From x into yas unnatural
flow,mapping
immensityleaving dust
below.
From x into yinspiring all
awe,o plus of libertyforever aglow.
From x into yonly a tiny
piece,wired to totality
o normal release.
From x into yo infinite fleece,
by packing vitality
no thorns but peace.
From x into ysingular the
dough,symphony of
unitybreeding single
row.
From x into yby breaking a
spell,amazing simplicity
o refuge from hell.
From x into yfrom holy plateau,perennial immunity
o spirit on the go.
From x into ytriune is the
cell,omnipotent
divinityo sacred God's
bell.
Y = X
Y = Xis justice that illuminates,
is balance that fascinates:
Y = X.
Y = Xis the practical alliance,
is the precious reliance:Y = X.
Y = Xis true word that
matures,is a spiral that endures:
Y = X.
Y = Xis the spotless resting
place,is the state of mighty
grace:Y = X.
Y = Xis smoothness that
esteems,is a lovely dove that
gleams:Y = X.
Y = Xis the short and precious root,
is the weaving of the truth:Y = X.
Y = Xis a future that
forgives,is crowned science that
is:Y = X.
Y = Xis the ever tender
tune,is the impartial tribune:
Y = X.
Y = Xis all innocence that
heeds,is a garden with no
weeds:Y = X.
Y = Xis the simple clear sign,is the majestic design:
Y = X.
Y = Xis brotherhood that
heals,is diversity that
shields:Y = X.
Y = Xis the real chaste
embrace,is the goodness of a
yes:Y = X.
Y = Xis a smile that edifies,is a spin that rectifies:
Y = X.
Y = Xis all gentleness in us,is the everlasting plus:
Y = X.
Y = Xis inspiration that calls,is growing to be small:
Y = X.
Y = Xis the forgotten
territory,is the improbable
story:Y = X.
Y = Xis revelation that nests,
is surrendering the rest:
Y = X.
Y = Xis the dustless short
incline,is the faithful narrow
line:Y = X.
Y = Xis renouncing all
spears,is experiencing no
fears:Y = X.
Y = Xis the perennial
giveaway,is pure life with no
decay:Y = X.
Y = Xis the only perfect
remedy,is loving, even the
enemy:Y = X.
Y = Xis revelation that nests,
is surrendering the rest:
Y = X.
Y = Xis the dustless short
incline,is the faithful narrow
line:Y = X.
Y = Xis renouncing all
spears,is experiencing no
fears:Y = X.
Y = Xis the perennial
giveaway,is pure life with no
decay:Y = X.
Y = Xis the only perfect
remedy,is loving, even the
enemy:Y = X.
Animations by Mahesh L. Maskey