Log24

Saturday, August 13, 2022

For the Late Zoltan Dienes (and Charles Kinbote)*

Filed under: General — m759 @ 4:56 am

[Shortly after 4 p.m. in Cetinje would have been shortly after 10 a.m. ET.]

* See Dienes and Kinbote in this journal.

Tuesday, March 19, 2024

Belgian Puzzle Art

Filed under: General — Tags: , , — m759 @ 3:33 pm

From the Belgian artist of the March 25 New Yorker  cover

'The Resort' S1E5 - Shapes Puzzle

“There comes a time when the learner has identified
the abstract content of a number of different games
and is practically crying out for some sort of picture
by means of which to represent that which has been
gleaned as the common core of the various activities.”

— Article  at Zoltan Dienes’s website

Friday, August 12, 2022

The Representation Stage

Filed under: General — Tags: — m759 @ 6:40 pm

See also "Abstract Signature" in this journal.

Mathematical Games: The Common Core

Filed under: General — Tags: — m759 @ 8:17 am

'The Resort' S1E5 - Shapes Puzzle

“There comes a time when the learner has identified
the abstract content of a number of different games
and is practically crying out for some sort of picture
by means of which to represent that which has been
gleaned as the common core of the various activities.”

— Article  at Zoltan Dienes’s website

This quote is from a Log24 post of Feb. 6, 2014,
The Representation of Minus One.

Sunday, February 9, 2014

Sunday School

Filed under: General — m759 @ 9:29 am

The late mathematics educator Zoltan Dienes in 2002 published
an article containing the following cryptic confession —

"Nowhere will I give away how I stole these patterns
from the mathematician's secret closet."

Some of the patterns he may have been referring to were
hardly secret. See a website recorded in the Internet Archive
on the Feast of St. Nicholas, 2000.

Saturday, February 8, 2014

The Village

Filed under: General — m759 @ 4:26 pm

From this journal on Jan. 26, 2009 —

http://www.log24.com/log/pix09/090126-Map.jpg

See also "Strip Mathematics," by Zoltan Dienes —

This illustration may have first appeared in Dienes's

"Mathematical fun without numbers, letters,
formulae or equations, Part I,"
The New Zealand Mathematics Magazine,
Vol 39, no.1. (May 2002)*

Material related to New Zealand —

See January 29, 2003 in this journal.

Material related to mathematics (without "fun") —

The Representation of Minus One.

General context —

Bester's The Deceivers  in this journal.

* Update of 5:48 PM ET Feb. 8, 2014 — From that publication —  

   "Nowhere will I give away how I stole these patterns
    from the mathematician's secret closet." — Zoltan Dienes

Thursday, February 6, 2014

The Representation of Minus One

Filed under: General,Geometry — Tags: , , — m759 @ 6:24 am

For the late mathematics educator Zoltan Dienes.

“There comes a time when the learner has identified
the abstract content of a number of different games
and is practically crying out for some sort of picture
by means of which to represent that which has been
gleaned as the common core of the various activities.”

— Article by “Melanie” at Zoltan Dienes’s website

Dienes reportedly died at 97 on Jan. 11, 2014.

From this journal on that date —

http://www.log24.com/log/pix11/110219-SquareRootQuaternion.jpg

A star figure and the Galois quaternion.

The square root of the former is the latter.

Update of 5:01 PM ET Feb. 6, 2014 —

An illustration by Dienes related to the diamond theorem —

See also the above 15 images in

http://www.log24.com/log/pix11/110220-relativprob.jpg

and versions of the 4×4 coordinatization in  The 4×4 Relativity Problem
(Jan. 17, 2014).

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