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2021 0611 icad11

While working on this card, thoughts came of mathematics, and then the Symbolist artist Odilon Redon. The math thoughts began almost immediately as I drew some ovals and then made them into flat toruses. It occurred to me that I was inventing laws for them. Examples: the ovals must not touch each other, but they will follow some sort of hard-to-discern alignment. Round-sided triangles will intersect them and change the shade of their insides. The background will have a similar tone-change, seen through the insides of the ovals.

And then, as I ground my pencil into the index card to make the background very, very dark, I thought of Redon, who lovingly called some of his charcoal drawings mes noirs–My Blacks. He liked black. “Black is the most essential color,” he said.

And it came to me that one of his noirs had the title “The Eye, Like a Strange Balloon, Mounts Toward Infinity.” Looked at the card I’d near-finished and something went clickclickclick. Some of the math I learned as a first-semester calculus student, almost half a century ago, had to do with summations, and limits, and what happens when the value of the unknown labeled x approaches . . . infinity.

The summation symbol is the greek Sigma, which looks like this: Σ (lazy M? Broken E? Yet in the Greek alphabet, it represents the S sound. Go figure!). A loose interpretation of the way I Sigma-ized and finished this card is “This is the limit of ICAD 2021 card #11 as G Bowers June 2021 approaches Infinity.” Mathematically all wrong, but artistically acknowledging the influence of Odilon Redon (and also my Drawing & Composition teacher Darlene Goto, who urged us always to render “Darker darks!!”) and revealing a greater truth than the false mathematics: Everything, and all of us, in however minuscule a way, approach Infinity.

From top to bottom, and left to right:

First there is a sandwich. “Home is where the Cardioid is” is the bread, and that heart-shaped function dubbed the Cardioid is the meat. Then is the classic, simple equation f=ma: Force equals Mass times Acceleration. To its immediate right is the example of a gun firing a bullet. When a bullet is stopped, it accelerates its mass of lead from, say, 1000 ft/sec to 0 ft/sec in very little time–a forceful wallop indeed.

Next is the Math Thematics acrostic:

Mapping reality calls 4 sum thought
Minds hear the challenge [congruent-] equals flame 4 a moth

Antwerp, Armenia, Cannes, Chillicothe

Tackrooms & classrms & Batcaves by Gotham
Teach us Utopia–give us Golgotha

Here be the dragons of all & of naught
Here asymptotes may be deadly as Gotti
Half-solved equations turn sum cyanotic
Heroes’ resolve gives us answers by lots

Under the first acrostic is a gap described (and, ironically, filled) [discontinuity]. One example of a discontinuity is when the curve of a graph shoots upward to infinity and then an infinitesimal smidge to the right comes up from the depths of negative infinity.

Under the ungap is a Mathematical quadruple acrostic:

Menthol-vaporic
Arrangements–a
Testimonial thrill

Menthol-Vaporic doesn’t quite rhyme with Euphoric, so it becomes the best phrase I can come up with to describe the frustrating ecstasy Mathematical matters have provided me over the years.

To the acrostic’s right is a graphicrepresentation of the square root of minus one, also known as i. To its right is a pirate intoning “i, lad!”

Under the second acrostic is an imagined bumper sticker that reads “Σ: That sums it up.” Σ, the Greek alphabet letter known as Sigma, is the mathematical symbol for summation.

To the bumper sticker’s right (and the pirate’s left) is an equation which reads Infinity divided by Zero does not equal Anything. And, indeed, Anything, including Zero AND Infinity, divided by Zero is what the mathematics realm deems Undefined. However, I vaguely recall from second-semester Calculus taken about thirty-six years ago that there’s something called L’Hôpital’s Rule which allows us to skate around such obstacles in special cases. (Interested parties may do a search on YouTube; I just discovered, in obtaining via search the proper circumflex-and-all spelling of “L’Hôpital,” that there’s an introductory video in YouTubeVille.)

Under the equation is the final, fudgy triple acrostic “Math Them At[t]ics”:

Millennia dictate melancholia
As a threshold means an entrant
The quad takes the quadratic
Humanity’s limits are curves

Finally, at bottom is my signature and date.

I leave meaning-derivation as an exercise for the student. Good luck with that, Friend!

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