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Thursday, December 17, 2015

S-Curves by Peter Dickinson

Filed under: General,Geometry — Tags: , — m759 @ 11:00 PM

British author Peter Dickinson, who reportedly died yesterday,
Dec. 16, 2015, at 88, wrote the following (published in the UK
in 1975 and in the US in 1976) —

'Chance, Luck and Destiny' by Peter Dickinson, page 34

Inverted image of the above page —

'Chance, Luck and Destiny' by Peter Dickinson, page 34

See also, from the date of Dickinson's death, a post on
"A Fight for the Soul…" and a post on the symbol "S."

Of interest too are some remarks related to today's earlier post,
"Hint of Reality" 

Hint of Reality

Filed under: General,Geometry — Tags: , , — m759 @ 12:45 PM

From an article* in Proceedings of Bridges 2014

As artists, we are particularly interested in the symmetries of real world physical objects.

Three natural questions arise:

1. Which groups can be represented as the group of symmetries of some real-world physical object?

2. Which groups have actually  been represented as the group of symmetries of some real-world physical object?

3. Are there any glaring gaps – small, beautiful groups that should have a physical representation in a symmetric object but up until now have not?

The article was cited by Evelyn Lamb in her Scientific American  
weblog on May 19, 2014.

The above three questions from the article are relevant to a more
recent (Oct. 24, 2015) remark by Lamb:

" finite projective planes [in particular, the 7-point Fano plane,
about which Lamb is writing] 
seem like a triumph of purely 
axiomatic thinking over any hint of reality…."

For related hints of reality, see Eightfold Cube  in this journal.

* "The Quaternion Group as a Symmetry Group," by Vi Hart and Henry Segerman

Wednesday, December 16, 2015

Soul Notes

Filed under: General — Tags: , — m759 @ 11:02 PM

See pages 36 and 37 of Suzanne Gieser's The Innermost Kernel 
as well as PyrE in The Stars My Destination  and Old St. Patrick's*
in "Gangs of New York."

For some related aesthetic remarks, see a New Yorker  essay
published onlne today and this  journal's previous post.

* The older  version of the "Old St. Patrick's"
    of The Stars My Destination . (Update of 4/21/16.)

The Jewel in the Lotus…

Filed under: General — Tags: , — m759 @ 9:00 PM

Meets the Kernel in the Nutshell.

This post was suggested by the title of Natalie Wolchover's
article in Quanta Magazine today,
"A Fight for the Soul of Science."

The post continues a meditation on the number 6
as the kernel in the nutshell of 15.

For an illustration of the 6 in the 15,
see nocciolo  in this journal.

For an illustration of the jewel in the lotus,
see that  phrase in this journal.

S is for Style

Filed under: General — Tags: — m759 @ 1:30 PM

In memory of "a phenomenal merchandiser"
who reportedly died on Monday, Dec. 14, 2015:

Click on image for some backstory.

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