Category: Mathematics


Detail from Denatured Structure by Anna Montgomery

pink magnolia
petals cascade
within the space
between the cast-
iron bed frame
and moments of passion,
my semiotic erotica

existing in the same
space as I read an
American Hybrid
Anthology – Super
Target parking lot
transmissions capture
antipoetic phrasing

immersed in disruption
of a linear, temporal path
illogicality seems actionable,
implicitly possible,
delicious even

fragments rupture an
empirical process
while immanence
revolves/devolves
in Google searches
missives in ether
petitions to digital
gods, binary masters

memory terraforms
another exoplanet
spiral galaxy
mimetic minds
contextualize
world building
half comprehensions
poems unraveling
in space-time

microcosmic bees
swarming my hive
incinerate the wasp
translucent frogs croak
a requiem . . . codification
stitches these seams

here in the room
where myths are born
Hypatia calculates an
elegant proof while
Sappho presages
a papal decree

all poetry is reduced
to ash, each word burns
away its discovery
this line will soon
alight upon a zephyr
carried to the sea

all is transformation
in a universe of energy
conservation, an unending
causal chain unfolding
from the first shift force
directing matter as
particles coalesced

within an atmosphere
of censure I carved an
ivory key, securing
esoteric runes –
legacy of what
was once lost

Intransitivity

diffeomorphicIn his vast universe
beyond language
where a soul’s conjecture
curves in Euclidean space, warped
within a matrix trace,
immersed in the possibility
of an infinite grace

she encounters relativity,
enmeshed in incompressible
geodesic loops limning the curvilinear
path of a lexical soul theorem
encapsulated by exotic spheres
spun – expanding and contracting
in a bounded singularity

where superposition exposures
underlie asymptotic entropy
forming polaroid parameters
of memory’s carving blade
two souls bound in isometric equation
meet upon the contrapositive vector field,
unraveling at the edge of imagination’s fire

interior symbols burn the
cartography of her exponential map
upon the topology of his geometry
demarcating areas of profound significance
at the paradoxical barrier
of parallels crossing,
impossibilities colliding,
converging on an ancient solution

Notes: A tribute to Grigori Perelman and dVerse Poets Pub, the only place in the universe that would allow me to share poetry about mathematics. The community at dVerse literally changed the course of my life trailing joy, friendship, and love in its wake.

Book with Wings by Anselm Kiefer

Book with Wings by Anselm Kiefer

‘The aim of science is to make difficult things understandable
in a simpler way; the aim of poetry is to state simple things
in an incomprehensible way. The two are incompatible.’*

I exist in the abstract vector (impure) space
between the mortal and the divine
within this night of broken glass
where there are no mutually exclusive states

in a profound paradox encapsulated
by a series of spectral lines
superluminal small heavens (within)
embodying the nature of light

restless remnant of a tattered whole
(oracle) of four dimension spacetime notation
carrying a universal wound of broken stories
in my native tongue, mathematics

imaginary world of leaden transformation
an enchanted map leading me on a path
between genius and madness
antimatter colliding in a book with wings

(space & time)/(momentum & energy)
coexisting potential alchemical matrices
uncertain relations in superposition
oscillating ash of solitude and union

*Paul Dirac

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/

The Collector

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/.