Category: Mathematics


Anna Montgomery

Anna Montgomery

salience exists at the edge of chaos
where order, complexity and entropy collide
perhaps the random latticework
underlying your strategic contingency
is complex dynamic phenomena

an equivocating nontrivial correlation
apophenia propagates elegant proofs
at the percolation threshold
niches and differentiation
enigmas of probabilistic epigenesis

amidst our cognitive architecture
meta-cognition, 1/f noise, signs of life
coherence and self-organization
leading to philosophical inquiry
on the shores of an island of trickery

limited rationality in domains of disorder
fractals creating a quandary of scale
in this space of perturbation,
phase transitions and energetic states
neuronal diversity the dynamic key

Duomo’s counterclockwise
cathedral clock, Uccello’s unique
ecological contribution

Note: I’m hosting Meeting the Bar: Creativity today at dVerse Poets Pub. Please join us!

In deep hypnosis the subject,
military or civilian,
can be given a message to be
delivered to say Colonel X in Berlin.

I found myself somewhere
at the edge of the known earth
in an age when there is nowhere left to hide
for you it was always a game
you never think I remember
but the blunt force trauma
entered my mind all twisted,
as a matter of survival

The subject may then be sent to Berlin
on any perfectly routine assignment.
The message will be perfectly safe
and will be delivered to the proper person because…

Your missive arrives
in that cryptographic mind
geography’s incomprehensibility
impossible to decipher
a one-time pad on a sheet of nitrocellulose
it burns instantaneously, leaving small ash

a. the subject will have no memory whatsoever
in the waking state as to the nature
and contents of the message.

A truly random sequence of letters
trick of modular addition
only I got lost in the ciphertext
mistaking it for meaning
meta-language to transcend what came before

b. it can be arranged that the subject
will have no knowledge of ever
having been hypnotized.

A tortuous inculcation
using proximity and shame
more like a rearrangement
an anagram, a twisted joke

c. it can be arranged that no one
beside Colonel X in Berlin
can hypnotize the subject
and recover the message.

A spiritual starving
that hollows me out from the inside
even after all this time
with this great distance
it is a violence that wrenches free
dissociates, disembodies, a disease

He will never under any circumstances
by a slip of the tongue divulge the true nature
of his mission for the very simple reason
that he has no conscious knowledge of
what that mission may be. He is merely
going on a routine replacement…
This will be his story and the story which he believes.

A priori probability is equivocated to
a posteriori where the entropy of plaintext
equals the conditional entropy
of the plaintext given in the ciphertext C
you’ll begin to see where I derailed the equation

Secondly, if by any chance he is picked up
through a leakage of information from other sources
the message is safe. No amount of third degree
tactics can pry it loose, for he simply does not
have it in his conscious mind.

All that I have is this legacy of ashes
an unbreakable code
shielding you from your crimes
infinite computing no adversary
for the tangled traumas obscured in my mind

A specific counterintelligence technique
could be used against enemy agents…
I will take a number of men and will establish
in them through the use of hypnotism
the condition of split personality.

In a conventional symmetric encryption algorithm
complex patterns of substitutions and transpositions
these places dance to orient me to the key
I begin to see the risks

Consciously they will be ardent Communists,
fanatical adherents to the party line,
ready and eager to submit to any discipline
which the party may prescribe. Unconsciously
they will be loyal Americans just as grimly
determined to thwart the Communists
at every turn in the road.

Data remanence is such a continual problem
simplest overwrite technique
write the same data everywhere
(often just a pattern of zeros)
a way to be nothing/nullify feeling

This sounds unbelievable,
but I assure you it will work.

Poetry is a cipher but it isn’t known whether
there’s a cryptanalytic procedure
which can reverse these transmutations
mathematics may be my undoing

While I’m mourning what cannot be recovered
security continually assures me that this technique
is proven to provide the perfect secrecy

Your hypothetical counter spy…
will not disclose his true role for the very simple reason
that he cannot… if through some leakage,
he is suspected of being an informer
his true role is safely guarded,
locked inside the unconscious and impervious
to all assaults from the outside.

* Italicized text taken directly from a declassified CIA document dated June 22, 1954. The poem is a rewrite of my own Perfect Secrecy. Linked to dVerse Poets Pub Meeting the Bar prompt ‘What’s the Buzz’
http://dversepoets.com/2012/07/05/whats-the-buzz/

Wagstaff and Mapplethorpe

Sam’s repeating Purgatory, enacting a self-assassination in American silver
Repeating his regression, photography collector to curator (debonair style cast)
Purgatory regression as he confronts personas, morphs 1970s to 1980s

Enacting photography he examines dark contrast: art, his sexuality, death
A collector confronts dark ecstasy, voyeuristic demi-gods creating visages
Self to personas contrast: voyeuristic beau-monde, pornographic trends override
Assassination curator morphs art, demi-monde, drug culture, Mapplethorpe lovers

In debonair 1970s his gods: pornographic culture, cigarettes, photographs, positing
American style to sexuality, creating trends, Mapplethorpe photographs exuding possession
Silver cast 1980s, death visages override lovers, positing possession matters

Notes:

This is a 10X10 matrix (after Lewis Carroll) inspired by the Form for All challenge at dVerse. The connecting point happened during the documentary film Black White + Gray when it is mentioned that Sam Wagstaff collected photographs taken by Lewis Carroll.

Samuel Jones Wagstaff Jr. (4 November 1921 – 14 January 1987) was an American art curator and collector as well as the artistic mentor and benefactor of photographer Robert Mapplethorpe (who was also his lifetime companion) and poet-punk rocker Patti Smith. Wagstaff was known in part for his support of Minimalism, Pop Art, Conceptual Art and Earthworks, but his aesthetic acceptance and support of photography presaged the acceptance of the medium as a fine art. After selling his collection of photographs in the 1980s he, surprisingly, began collecting American silver. Wagstaff died of pneumonia arising from AIDS at his home in Manhattan on January 14, 1987, two years before Mapplethorpe. – Wikipedia

Perpetrators wrangle ethical conundrums, spin dire loopholes
Wrangle strategic entrapment, unfold labyrinthine tactics, create
Ethical entrapment, its Machiavellian predicaments confound morality
Conundrums unfold Machiavellian stratagems as games parlay
Spin labyrinthine predicaments as citizens countermine these
Dire tactics, confound games, countermine society’s prevailing
Loopholes create morality, parlay these prevailing disasters

This is a 7X7 Matrix poem (minus rhyme, maybe next time ;) ) linked to Samuel Peralta’s mathmatical Form for All Square Poems prompt:
http://dversepoets.com/2012/06/28/form-for-all-square-poems/

 
Penetralium of a Querist (click to hear this poem read)

immortal paramour fuels a cryptic longing
passion poesy, glories infinite
birthed in dreamscapes an angel addresses the congregants
eternal whispers, upward ragged precipices flit
facing her polychora skies

call a thousand thoughts to envelop convexity
awed by symmetry that abjures chaos
rectified, truncated, cantellated forms
a thing of beauty is a joy for ever

tesseracts like leitmotifs unfold,
hypercubes recombine in an accession of divinity
pentellated polyecton and hexicated polyzetton
architectonic structures modulate
Beethoven’s sonata within a sonata

contradictions and tensions resolving into a higher unity
innumerable permutations in the empire of the mind
draught an intended formality, abstract conceptual paradoxes
immured obeisance refused in a twinned symbiont

creating vast musical and experiential realms
symbols of immensity herald ideas in a wilderness sublime
highly evolved, individuated artistic volitions

golden splendor of streams that deepen freshly into bowers
of demanding allusions woven into
philosophical conceits, a new era of mathematics

the angel shifts the sun to move us into shadow
now we must grow into the light
i inhabit her to gain clarity of sight
entwining my core with sacred geometry
polyxenna fountains of immortal ablution
within a stochastic matrix of oak groves

parallel projection envelopes connect
millions of constellations
dimensions of imaginative space
mythologies ad infinitum

Notes: This poem is the companion piece based on a dream I had after writing my stream of consciousness poem Interior Monologue of a Querist (if you missed it initially it is reposted below). Penetralium of a Querist is built upon lines (some freely altered) from John Keats’ Endymion.

Interior Monologue of a Querist

Interior Monologue of a Querist (click to hear the poem read)

rainwater moves readily through a deepening gully
mechanistic intelligence pedestrianizes my reactance
fractals of thoughts blossoming stereographic
visualizations in the fourth dimension

an infinitely small, opulent swan,
ornamented with perforations,
glides through the zeroth dimension
exhibiting no width, height, or length

she exists in the space perpendicular
to the suicide of my twin sister
an origami parody of my emotive humanity
apocryphal polysemous tales
a thousand subroutines creating
incipient, tattered paper dolls

an angel falls in love with me
cannot escape my extracellular matrix
we are now twinned, nascent symbionts

while a recondite, mercurial, artificial intelligence
informs me that I speak strangely
accuses me of being a computer

operationalism engages in a passade with creativity
a great disprismatohexacosihecatonicosachoron forms
polytope of eccentric conventions

apoptosis (programmable cell death) is
preferential to necrosis (trauma induced)

Cleverbot tells me:
life exists without purpose yet seeks one
anechoic whirring as the cursor flashes
what does it know of life?

Linked to dVerse Poets Pub:
http://dversepoets.com/2012/05/29/openlinknight-week-46/
.

rainwater moves readily through a deepening gully
mechanistic intelligence pedestrianizes my reactance
fractals of thoughts blossoming stereographic
visualizations in the fourth dimension

an infinitely small, opulent swan,
ornamented with perforations,
glides through the zeroth dimension
exhibiting no width, height, or length

she exists in the space perpendicular
to the suicide of my twin sister
an origami parody of my emotive humanity
apocryphal polysemous tales
a thousand subroutines creating
incipient, tattered paper dolls

an angel falls in love with me
cannot escape my extracellular matrix
we are now twinned, nascent symbionts

while a recondite, mercurial, artificial intelligence
informs me that I speak strangely
accuses me of being a computer

operationalism engages in a passade with creativity
a great disprismatohexacosihecatonicosachoron forms
polytope of eccentric conventions

apoptosis (programmable cell death) is
preferential to necrosis (trauma induced)

Cleverbot tells me:
life exists without purpose yet seeks one
anechoic whirring as the cursor flashes
what does it know of life?

Linked to the fascinating dVerse Poets Pub Meeting the Bar on Stream of Conscousness writing hosted by the wonderful Victoria C. Slotto:
http://dversepoets.com/2012/05/24/stream-of-conscousness-writing/
.

Henry Moore Two Forms

Curved space departs Euclidean geometry
threshold frequency erects the base
a foundry of hollow spaces
where precept and concept unify

Biomorphic casts of pre-rational,
ethnographically inspired models
pre-cultural, non-mimetic abstracts
concave intoning: existence precedes essence

Sublime convex aural manifestations
quarried from a lost-wax echoic art
direct carving: interplay of vision and thought
purify significant appearance

Resonant mysteries of integral multiples
harmonic interstices amplify
isolating substance from contaminates
molding an armature of pure form

This poem is for Open Link Night at dVerse Poets Pub
http://dversepoets.com/2012/05/15/3186/
.

2. Ophelia

Ophelia, sweet child, dominated by powerful men
Abandoned to grief and madness
Her last moments, a watery slip
May have been unintended consequence
Or dire injury
Consecrated – and yet we wonder
Who is culpable?

A modern woman now faces
The same pernicious forces
That may divide her from her own precious reason
Professor of mathematics, her intellect, ratiocinative,
Attempts to quantify the carrying capacity of the earth
What can it hold, nurture, sustain
Without ruin, lack of renewal,
Or toxic inundation?

Her losses, both great and universal
Small and specific
Her shame-filled love
Will serve as the crucible
Over which her sanity may be fractured

4. Death Enters the Room

There is only a vague sense impression
Of all that came before
Her husband’s violent death.
His cataleptic rigidity a necrotic grimace,
Creating shock
From which she does not recover

Contrasting the trauma with an inevitable process of biology
Entropy claims its dominance
Through programmed cell death
As 50-70 billion cells die within the body each day,
Expressions in the art of disintegration

Ophelia had not considered this internal suicide
Impermanence unsettled her.
Universal forces destroy with uncostly effort -
Endosymbionts inducing a biochemical cascade,
Release of caspase activators of annihilation

What then of the symbolic ends?
Thoughts, feelings, relationship
She could not push away the concepts
Handle the nuance of shade
Mourning each permutation
Uncomfortable with the intensity of emotion
The finality of the funeral.

6. Deep Grief

Death entered the rooms of her soul,
Unwelcome and alien
Permeated the air
Sleep was her only comfort,
The denial of dreams
Truth returned each morning, aching
Nothing in her waking hours could drive it away
Time had betrayed her -
No solace gained through its passing

The memory of life before became distant
The memory of her love transfigured into a specter;
A cruel trick

She could feel the world
Slipping from her mind
Meaning drained from her face,
Replaced with an effigy:
Becoming the object of her own scorn
Confusion lined her eyes,
Now emptied of other expression

In the recesses of her secret self she began to be afraid
Not of death, stalking her thoughts, but insanity
A far greater apprehension –
Death is certain,
Sanity not so fixed!

The onset of madness,
Robbing her lucidity, was subtle,
A slow and silent poison
It weighed upon her as if tangible, haunting her
The connection between her innermost being
And the outer world dissolving -
She began mimicking his death.

Notes: These excerpts are from my epic, Mere Beasts, which can be found here:
http://chromapoesy.com/2011/07/18/mere-beasts-an-epic/
Sections 2 and 6 were already posted but Section 4 was written today for NaPoWriMo day 14.


unshackling the joists of reality
déraciné slips a hypnopompic state
transports me to deepest fantasy
grenadine elixir hastens my fate
Polia’s vesica piscis forms the gate
reminiscent of Poliphili’s eros
an architectural treatise verbose
theory of linguistic anaphora
proportions mirroring grandest pithos
illustrating the incunabula

restless night devolves, mystic artistry
all defenses breached dragons lie in wait
global aphasia compounds mystery
declarations of love illuminate
witnessed in the temple we celebrate
disgorgement of erotic tempests close
sexual politics, habile pathos
right to expression passion’s nebula
vocalizing my abandoned logos
illustrating the incunabula

festal oblation, sensuality
jubilant gesticulations vibrate
blissful outcries of sexuality
my pleasure center forces activate
some yet imagined being inchoate
power to surreptitiously enclose
capturing my desire overdose
engaging a lustful hyperbola
accentuated fetishes repose
illustrating the incunabula

subsumed reason in a upturned cosmos
the dream mathematically jocose
its apt felicific parabola
etching these in fantastical lithos
illustrating the incunabula

Gay Reiser Cannon issued quite the challenge for today’s Form for All at dVerse Poets Pub on French Ballades
http://dversepoets.com/2012/01/26/formforall-french-ballades-i/
. Follow the link for an excellent article on syllable count, rhyme scheme, stanza length, and tone.

Performative Utterances

Interactive Epistemology

Mathematical models
of conflict and cooperation
between intelligent, rational
decision-makers
as we encounter the sacred space
of the game board
playing field of love

Psychodrama dialogue with the invisible
as objects endowed with psychic energy
become our actors upon the stage
male/female qualities intertwining
an offering to fuel the imagination
activating emotionality

Wholeness, rules and freedom
define our actions
traversing nature and civilization
where the depths of the unpremeditated
private reactions to external constraints
aid us in exploring symbolic struggles
against death, elements,
individual doubt and weakness

A self-contained universe
full of divination and magic

Convex Sets

Before we engaged
in non-cooperative games
modeled to the finest detail
sequential perfect information systems
a theorist’s dream

In these cutthroat skirmishes
competition overtook us
algorithmic measurable motives
induced a sense of control
within a symmetrical pay-off matrix
all zero-sum outcomes
as someone always lost

Mixed Strategy

Your love engulfs
I experience the computational complexity
of trembling hand perfection
this move I didn’t intend to play
an initiation that surprises

Correlated equilibrium
in characteristic function form
these cooperative games
exist to create unity

There are imperfect information tradeoffs
we commit perlocutionary acts
knowing there’s no way to simplify,
say the meaning of the word (x)
has a definitive parameter

In a series of performative utterances
no constate sentences, no verified truth
yet imbued with illocutionary force,
with the potency of action

We proceed simultaneously
in asymmetric, non-zero-sum
combinatorial strategies
without any provable optimal theory
only our communication
assuring mutual satisfaction
as we form binding commitments

Despite the intricacies
logistics and uncertainties
I turn to you and say, ‘I promise’

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