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Tuesday, March 11, 2014

Depth

Filed under: General,Geometry — Tags: , — m759 @ 11:16 am

"… this notion of ‘depth’ is an elusive one
even for a mathematician who can recognize it…."

— G. H. Hardy,  A Mathematician's Apology

Part I:  An Inch Deep

IMAGE- Catch-phrase 'a mile wide and an inch deep' in mathematics education

Part II:  An Inch Wide

See a search for "square inch space" in this journal.

Diamond Theory version of 'The Square Inch Space' with yin-yang symbol for comparison

 

See also recent posts with the tag depth.

Wednesday, February 9, 2022

Deep Space

Filed under: General — Tags: — m759 @ 9:09 am

For your consideration:

See as well this  journal on "Hardy + Depth."

Monday, February 25, 2019

The Deep Six

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

". . . this notion of ‘depth’ is an elusive one
even for a mathematician who can recognize it. . . ."

— G. H. Hardy, A Mathematician's Apology

See Six-Set in this journal.

Sunday, April 22, 2012

An Elusive Notion

Filed under: General,Geometry — m759 @ 11:09 pm

"… this notion of ‘depth’ is an elusive one
even for a mathematician who can recognize it…."

— G. H. Hardy, A Mathematician's Apology

In Geometry and the Imagination , Hilbert and Cohn-Vossen
describe the Brianchon-Pascal configuration of 9 points
and 9 lines, with 3 points on each line and 3 lines through
each point, as being "the most important configuration of all geometry."

The Brianchon-Pascal configuration is also known as the Pappus configuration


Some background …

"The Theorem of Pappus: A Bridge Between Algebra and Geometry"
Elena Anne Marchisotto
The American Mathematical Monthly
Vol. 109, No. 6 (Jun. – Jul., 2002), pp. 497-516

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