Wednesday, January 2, 2019

Wolf as Lamb

Filed under: General,Geometry — Tags: — m759 @ 10:30 PM

The above graphic design is by Noma Bar.

See as well the lamb-in-triangle of the Dec. 27 post
A Candle for Lily

Related material —

Remarks by Evelyn  Lamb on the Deathly Hallows symbol.

Wednesday, April 25, 2018

A Deathly Triangle

Filed under: General,Geometry — Tags: , , , — m759 @ 11:27 PM

'Imprisoned in a Tesseract,' a study of novelist James Blish

Saturday, January 6, 2018

Yale News

Filed under: General,Geometry — Tags: — m759 @ 5:24 AM

The Yale of the title is not the university, but rather the
mathematician Paul B. Yale. Yale's illustration of the Fano
plane is below.

IMAGE- Triangular models of the 4-point affine plane A and 7-point projective plane PA

A different illustration from a mathematician named Greenberg —

This illustration of the ominous phrase "line at infinity"
may serve as a sort of Deathly Hallows  for Greenberg.
According to the AMS website yesterday, he died on
December 12, 2017:

A search of this  journal for Greenberg yields no mention of
the dead mathematician, but does yield some remarks
on art that are pehaps less bleak than the above illustration.

For instance —

Art adapted from the Google search screen. Discuss.

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

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

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