Log24

Thursday, March 9, 2023

Meditation on a URL:
Putting the “de” in
https://www.hu-berlin.de/

Filed under: General — Tags: — m759 @ 9:28 am

From other posts tagged Tetrahedron vs. Square —

A Scholium for Chomsky

The ABC of words —

A nutshell —

Wednesday, February 17, 2021

Raiders of the Lost Coordinates . . .

Continues.

From other posts tagged Tetrahedron vs. Square —

"There is  such a thing as a 4-set."
— Saying adapted from a 1962 young-adult novel.

Illustration (central detail  a  from the above tetrahedral figure) —

A Harvard Variation
from Timothy Leary —

The topics of Harvard and Leary suggest some other cultural
history, from The Coasters"Poison Ivy" and "Yakety Yak."

Monday, March 16, 2020

Mathematics and Narrative* Continues:

Filed under: General — Tags: — m759 @ 1:27 am

Expanding the Spielraum

Mathematics:  See Tetrahedron vs. Square in this journal
(Notes on two different models of schoolgirl space ).

Narrative:  Replacing the square  from the above posts by
a related cube 

… yields a merchandising inspiration

Dueling Holocrons: 

Jedi Cube vs. Sith Tetrahedron

.

* See also earlier posts on Mathematics and Narrative.

Wednesday, February 26, 2020

“Perfect”

Filed under: General — Tags: — m759 @ 9:59 pm

Usage example —

(Click to enlarge.)

See also the previous post as well as PG(3,2),
Schoolgirl Space, and Tetrahedron vs. Square.

Saturday, December 7, 2019

Canonicity* Illustrated: The Offensive Tet

Filed under: General — Tags: — m759 @ 8:56 pm

* “Canonicity” is a reference to the previous post.
See as well Tetrahedron vs. Square and Algebra for Schoolgirls.

Wednesday, October 23, 2019

Art-Historical Narrative*

Filed under: General — Tags: , — m759 @ 9:25 pm

"Leonardo was something like what we now call a Conceptual artist,
maybe the original one.   Ideas —  experiments, theories —  were
creative ends in themselves."

— Holland Cotter in the online New York TImes  this evening

From other Log24 posts tagged Tetrahedron vs. Square —

* Phrase from the previous post, "Overarching Narrative."

Tuesday, October 15, 2019

Inside the Fire Temple

Filed under: General — Tags: , — m759 @ 8:00 pm

(The title refers to Log24 posts now tagged Fire Temple.)

In memory of a  New Yorker  cartoonist who
reportedly died at 97 on October 3, 2019  …

"Read something that means something." 
New Yorker  advertising slogan

From posts tagged Tetrahedron vs. Square

This  journal on October 3

"There is  such a thing as a 4-set."
— Saying adapted from a 1962 young-adult novel.

Illustration (central detail   from the above tetrahedral figure) —

Tuesday, September 24, 2019

Emissary

Filed under: General — Tags: , , — m759 @ 8:04 pm
 

Thursday, September 12, 2019

Tetrahedral Structures

Filed under: General — Tags:  —
m759 @ 8:11 PM 

In memory of a Church emissary  who reportedly died on  September 4 . . . .

Playing with shapes related to some 1906 work of Whitehead:

Saturday, September 21, 2019

Annals of Random Fandom

Filed under: General — Tags: , , , — m759 @ 5:46 pm

For Dan Brown fans …

… and, for fans of The Matrix, another tale
from the above death date: May 16, 2019 —

An illustration from the above
Miracle Octad Generator post:

Related mathematics — Tetrahedron vs. Square.

Monday, August 19, 2019

A Couple of Tots

Filed under: General — Tags: , — m759 @ 10:15 pm

The title is from the post "Child's Play" of May 21, 2012 . . .

"It seems that only one course is open to the philosopher
who values knowledge and truth above all else. He must
refuse to accept from the champions of the forms the
doctrine that all reality is changeless [and exclusively
immaterial], and he must turn a deaf ear to the other party
who represent reality as everywhere changing [and as only
material]. Like a child begging for 'both', he must declare
that reality or the sum of things is both at once  [το όν τε και
το παν συναμφότερα] (Sophist  246a-249d)."

Related material —

"Schoolgirl Space: 1984 Revisited" (July 9, 2019) and
posts tagged Tetrahedron vs. Square.

Wednesday, July 17, 2019

The Artsy Quantum Realm

Filed under: General — Tags: , — m759 @ 6:38 pm
 

arXiv.org > quant-ph > arXiv:1905.06914 

Quantum Physics

Placing Kirkman's Schoolgirls and Quantum Spin Pairs on the Fano Plane: A Rainbow of Four Primary Colors, A Harmony of Fifteen Tones

J. P. Marceaux, A. R. P. Rau

(Submitted on 14 May 2019)

A recreational problem from nearly two centuries ago has featured prominently in recent times in the mathematics of designs, codes, and signal processing. The number 15 that is central to the problem coincidentally features in areas of physics, especially in today's field of quantum information, as the number of basic operators of two quantum spins ("qubits"). This affords a 1:1 correspondence that we exploit to use the well-known Pauli spin or Lie-Clifford algebra of those fifteen operators to provide specific constructions as posed in the recreational problem. An algorithm is set up that, working with four basic objects, generates alternative solutions or designs. The choice of four base colors or four basic chords can thus lead to color diagrams or acoustic patterns that correspond to realizations of each design. The Fano Plane of finite projective geometry involving seven points and lines and the tetrahedral three-dimensional simplex of 15 points are key objects that feature in this study.

Comments:16 pages, 10 figures

Subjects:Quantum Physics (quant-ph)

Cite as:arXiv:1905.06914 [quant-ph]

 (or arXiv:1905.06914v1 [quant-ph] for this version)

Submission history

From: A. R. P. Rau [view email] 
[v1] Tue, 14 May 2019 19:11:49 UTC (263 KB)

See also other posts tagged Tetrahedron vs. Square.

Life in Palermo

Filed under: General — Tags: , — m759 @ 9:55 am

See also other posts tagged Tetrahedron vs. Square, and a related
Log24 search for "Schoolgirl + Space."

Saturday, July 13, 2019

Which Roof?

Filed under: General — Tags: , , , — m759 @ 10:15 am

Related material — Tetrahedron vs. Square and Cézanne's Greetings

Compare and contrast:

A figure from St. Patrick's Day 2004 that might represent a domed  roof

Inscribed Carpenter's Square:

In Latin, NORMA

and a cinematic "Fire Temple" from 2019

Tuesday, July 9, 2019

Perception of Space

Filed under: General — Tags: , , , — m759 @ 10:45 am

(Continued)

The three previous posts have now been tagged . . .

Tetrahedron vs. Square  and  Triangle vs. Cube.

Related material —

Tetrahedron vs. Square:

Labeling the Tetrahedral Model  (Click to enlarge) —

Triangle vs. Cube:

and, from the date of the above John Baez remark —

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