Category: Mathematics


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’

Stochastic Intimacy

Stochastic Intimacy (this is a spoken word piece so click to hear it read)
for Hypatia “Reserve your right to think, for even to think wrongly is better than not to think at all.”

Blind caches of probability theory
hide in undercrofts
seducing non-deterministic variables
counteracting an unfairly weighted die
chance involves the randomness of specificity
slot machine spins
love is a weak convergence theory
requiring proof.

She’s dancing round helical truths.

Dependence will tend to be distributed
according to one of a small number of
attractor elements
diverging within the limits
approaching infinity
caressing asymptotic density convolutions
sexual creativity plays with game theory.

She chooses.

Variable ratio schedule of reinforcement
insures she keeps pulling the handle
appetite for stimulus drives the euphoria
highest rate of response
scientifically guaranteed
heightens the anticipation
of winning the whole show.

Figuring the chances of hitting the jackpot.

Ars Conjectandi! a bold conjecture
gene expressions in the roulette
of ubiquitous computing
predictable actions rouse random elements
probability theory spirals stochastic intimacies
astounds glistening ambient intelligence.

Equations inscribed by electric flickering tongues arouse.

Friction exerts its force
upon blooming lacunary trigonometric series
stimulating the total variation distance
pairwise independence won’t correlate
these atoms gotta smash up
to go supernova baby.

Each move she makes changes the board.

Multivariate Gaussian polytopes
nest in orthogonal matrices
central limit theorem initiates chain reactions
hydrogen bomb’s gonna blow
overcoming electrostatic repulsion
in a nuclear fusion transmutation.

Mathematics sighs and roars, she’s never been seduced by a poet before.

Mere Beasts An Epic
(excerpts in bold which represent about 15% of the full work)

Introit   1. Lavinia   2. Ophelia   3. Pictures   4. Death Enters the Room
5. The Intermediary   6. Deep Grief   7. Missionary   8. Pisti   9. Mutilation
10. A Savior Complex   11. Obsession   12. Divided   13. The Trull   14. Maiming
15. River   16. Exile   17. Desert   18. Predators   19. Apophatic
20. Speciousness   21. Phoenix   22. She Who Abides   23. Shame
24. Lively Warrant   25. Judgment   26. Cataphatic   27. Tetra Pylon
28. Flaming Sword   29. Agape   30. Mark of Grace   31. Mere Beasts
32. Elpida   33. Gnosis   34. Imago Dei   35. Redemption   36. Quiddity
37. The Paradoxes   38. Muse   39. Rebirth   40. Sophia

Introit
Titus: An if your highness knew my heart, you were.-
My lord, the emperor resolve me this:
Was it well done of rash Virginius
To slay his daughter with his own right hand,
Because she was enforc’d, stain’d, and deflour’d?

Saturninus: It was Andronicus.

Titus: Your reason mighty lord?

Saturninus: Because the girl should not survive her shame,
And by her presence still renew his sorrows.

Titus: A reason mighty, strong and effectual;
A pattern precedent, and lively warrant,
For me, most wretched to perform the like:-
Die, die Lavinia, and thy shame with thee;
(He kills Lavinia)
And, with thy shame, thy father’s sorrow die!*

*Titus Andronicus (V.iii.38-51) by Shakespeare

King: This is the poison of deep grief;
… poor Ophelia,
Divided from herself and her fair judgment,
Without which we are pictures, or mere beasts.*

* Hamlet (IV.v.40, 48-50) by Shakespeare

1. Lavinia
Lavinia, a name haunted by shame
The daughter who loses all:
Dignity, hands, tongue, maidenhead, self
To receive mercy at her father’s hand
One more victim of life’s grave cruelty

This one born centuries later
Failed by the protection of a father
No husband or brothers to stand with her

She forges bold expressions in paint
With precision, a line well reasoned
And true – cutting through post-modern isms,
Edge of identity and visual field

Her work: prodigious, collected, critiqued
Viewed by the elite –
Discerning, argumentative, and informed

Yet she is gnawed away inside at the sacrifice
Required by her acceptance –
That which is like a man’s –
Hard edged, logical, demanding, and concrete
Where Eros’ sweet invitation is laid fallow,
By ego’s sharp curbing of her free expression
Complexity, variation – her creative forces:
Divergent streams, converging, are still

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

3. Pictures
(Art Critic, Yves) Lavinia’s art is a concatenation
Of architecture, minimalism, post-modernism, and conceptual art
Her meticulous line acknowledges the reality
Of the restricted world in which we find ourselves:
Measured, under surveillance, scientifically dissected
Without irony

Unlike Julie Mehretu’s marks
Which work against a Fascist imposition of order
Conveying a fundamentally humanist message
Lavinia’s work shows the intense naïveté
Of such leanings

Like the steady, deft hand of a butcher
She cleaves idealism at its root!
Unlike women of the past
She shows no propensity to politicize gender
No weakness for sentimentality
No shying away from the cruelty of existence
This fearlessness, an emboldened stance,
A primary ingredient in her acuity
Leads her to a new vision:

A post apocalyptic world without nostalgia
The world as it is becoming:
Crowded, populated by individuals
mainly concerned with their own needs and desires

An open wound
Increasingly destroyed
Not to be made again into paradise
But simply to be destroyed
She is the bravest artist of the 21st century

(Lavinia) Pre-figured symbols and signifiers
Are land mines of meaning and association
Figurative art remains reactionary,
Revealing underlying ideology
Nonrepresentational art isn’t the basis of a movement,
a call to action, or directive

Within it there is no agenda,
Cannon of aesthetics,
Or political ground
The visual language exists within its own independent logic
Unburdened by oppressive modalities

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

13. The Trull
(Lavinia) I tried so hard to be only one thing,
Contain my multiplicity
Conform to the rules,
In so doing I damaged
The very part of me that I sought to express

Strange how I became a painter
In order to belong to myself; to express a self
To explore the myriad paths to my soul
And ended up wounding it
I became possessed by the world –
At such a small price
How quickly I was lost when tempted

I wanted it – I convinced myself it was the fulfillment of my ambition
I lost my source, my essence, my soul
It was precious, but I did not know to protect it

What does it mean to have lost my integrity?
I am a trull, selling out the soul that fed the work
I wanted to be the center of attention
They are merely circling around me
With no love for me – my humanity

I have only fed them through the mask
A mirror for their projected desires
They are vain; they wanted me to reflect them
My vanity distorted me to their pleasure
Pandering soul!
Starved for love – no integrity at all
Do I pity you or avenge my honor?
For that which was stolen, defiled, and ravaged

I am sick; ill from your poisonous fallacies
Here the world has set my penance
For my lack of discernment
It has robbed me of the tool of my crimes
Poor hand, it was under orders from the world,
My own vain striving!

Justice was swift and absolute
I cannot even seem to make use of myself
I have been deemed unworthy of service –
What is there for me now?

19. Apophatic
(Ophelia) I find that in the process
Of declaring this moment, this thought,
As what defines, delineates me
That in the next moment I reject the idea
I found was all encompassing
The world, my internal landscape
Proves too vast and unknowable

I am always trying to stop
At a point in time to reach contentment,
Clinging to it;
Spreading it thinly across the hours to come
When it wears away I start again and think
(as if it never occurred before)
It will stay!
That I have at last won and the answer is granted –
The key to happiness

23. Shame
(Ophelia) Reality, reality is too cruel!
One moment, no chance to relive things
Reality is for people imprisoned
Addicted to being victimized
I can control my world
That is real freedom
(Who calls this madness?
I will brook no captious dissenters!)
The liberation which we dare not name
Too afraid to even whisper
Who needs society’s labels?
I have found happiness
Control, complete control
Infinitely superior to the curse of reality!

24. Lively Warrant
(Lavinia) Where is my father?
To murder my shame
And as I have embodied it, my own flesh!
There is no such person on this earth
Must I be alone even in this?
There is no mercy for my will lives
Urging me to return home!

Please God, why could not he have done it
Not in compassion but spite
It would still bear the mark of your grace!
Why have you brought me here
If not to let me die – born again to new life?

How can you abandon me?
What need do I have of you
Who brought the shame only death can end
To mark me so that others will recoil,
Feeling that shame as if a spreading disease?
How cruel the cure of death!

What compassion is shown
Stripping me of my self-possession?
Is this how you make me yours?
Declaring my presence as that repulsiveness
Giving me nothing beyond it
As if the whole of my life lost meaning from that moment
I cannot bear it but do not know how to lay it down
Please! You must release me from it!

33. Gnosis
(Lavinia) No wonder Edvard Munch went mad
Thought his mind slipped
He set before him to define life and love
The embrace of life and death
The depths of his emotion
He felt he could grasp it and put it there,
Fixed for public viewing

Each new piece a marker,
A signpost of meaning,
Leading, spiraling towards a complete philosophy
He would not have seen it as his world view
He would have seen it as truth – the truth

A search to express the truth can only lead to madness
It clings to the singular when multiplicity is required
The resulting fracture –
Making multiplicity into duality (love/hate, life/death)
Forcing it all into unities of form breaks the vessel
The mind cannot will the one truth into being
The mind is not unified, it too is many,
Pressure snaps the psyche as it
Tries to reject the truth that surrounds it
Truth it cannot comprehend, label or convey