WOW, deep stuff! I'll need to return to this later, when my brain is properly caffeinated, His Haircut poem is quite something.

Bonus...

“Really, Tichy. Don’t be so demonic. Ours is simply a world in which
more than twenty billion people live. Did you read today’s Herald? The
government of Pakistan claims that in this year’s famine only 970,000
perished, while the opposition gives a figure of six million. In such a
world where are you going to find Chablis, pheasants, tenderloin with
sauce béarnaise? The last pheasant died a quarter of a century ago. That
bird is a corpse, only excellently preserved, for we have become
masters of its mummification—or rather: we have learned how to hide its
death.”

―
Stanisław Lem,
The Futurological Congress: From the Memoirs of Ijon Tichy

“Dear patient (first name, last name)! You are presently located in our
experimental state hospital. The measures taken to save your life were
drastic, extremely drastic (circle one). Our finest surgeons, availing
themselves of the very latest achievements of modern medicine, performed
one, two, three, four, five, six, seven, eight, nine, ten operations
(circle one) on you. They were forced, acting wholly in your interest to
replace certain parts of your organism with parts obtained from other
persons, in strict accordance with Federal Law (Rev. Stat. Comm.
1-989/0-001/89/1). The notice you are now reading was thoughtfully
prepared in order to help you make the best possible adjustment to these
new if somewhat unexpected circumstances in your life, which, we hasten
to remind you, we have saved. Although it was found necessary to remove
your arms, legs, spine, skill, lungs, stomach, kidneys, liver, other
(circle one or more), rest assured that these mortal remains were
disposed of in a manner fully in keeping with the dictates of your
religion; they were, with the proper ritual, interred, embalmed,
mummified, buried at sea, cremated with the ashes scattered in the
wind—preserved in an urn—thrown in the garbage (circle one). The new
form in which you will henceforth lead a happy and healthy existence may
possibly occasion you some surprise, but we promise that in time you
will become, as indeed all our dear patients do, quite accustomed to it
We have supplemented your organism with the very best, the best,
perfectly functional, adequate, the only available (circle one) organs
at our disposal, and they are fully guaranteed to last a year, six
months, three months, three weeks, six days (circle one).”

―
Stanisław Lem,
The Futurological Congress: From the Memoirs of Ijon Tichy

“So they rolled up their sleeves and sat down to experiment -- by
simulation, that is mathematically and all on paper. And the
mathematical models of King Krool and the beast did such fierce battle
across the equation-covered table, that the constructors' pencils kept
snapping. Furious, the beast writhed and wriggled its iterated integrals
beneath the King's polynomial blows, collapsed into an infinite series
of indeterminate terms, then got back up by raising itself to the nth
power, but the King so belabored it with differentials and partial
derivatives that its Fourier coefficients all canceled out (see
Riemann's Lemma), and in the ensuing confusion the constructors
completely lost sight of both King and beast. So they took a break,
stretched their legs, had a swig from the Leyden jug to bolster their
strength, then went back to work and tried it again from the beginning,
this time unleashing their entire arsenal of tensor matrices and grand
canonical ensembles, attacking the problem with such fervor that the
very paper began to smoke. The King rushed forward with all his cruel
coordinates and mean values, stumbled into a dark forest of roots and
logarithms, had to backtrack, then encountered the beast on a field of
irrational numbers (F_1) and smote it so grievously that it fell two
decimal places and lost an epsilon, but the beast slid around an
asymptote and hid in an n-dimensional orthogonal phase space, underwent
expansion and came out fuming factorially, and fell upon the King and
hurt him passing sore. But the King, nothing daunted, put on his Markov
chain mail and all his impervious parameters, took his increment Δk to
infinity and dealt the beast a truly Boolean blow, sent it reeling
through an x-axis and several brackets—but the beast, prepared for this,
lowered its horns and—wham!!—the pencils flew like mad through
transcendental functions and double eigentransformations, and when at
last the beast closed in and the King was down and out for the count,
the constructors jumped up, danced a jig, laughed and sang as they tore
all their papers to shreds, much to the amazement of the spies perched
in the chandelier—perched in vain, for they were uninitiated into the
niceties of higher mathematics and consequently had no idea why Trurl
and Klapaucius were now shouting, over and over, "Hurrah! Victory!!”

―
Stanisław Lem,
The Cyberiad

The first three quotes are my favorites. I am familiar only with Solaris, the book, not the movie and then Lew went under the radar again. Just checked three libraries in the vicinity, but none has anything by him.

http://www.goodreads.com/author/list/10991.Stanis_aw_Lem