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Scholarly articles for Descartes and Euler characteristics | |
An analogue of the Descartes-Euler formula for infinite … - ‎DeVos - Cited by 34 The Euler Characteristic and Polya's Dream - ‎Hilton - Cited by 20 A new look at Euler's theorem for polyhedra - ‎Grunbaum - Cited by 24 | |
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Euler characteristic - Wikipedia, the free encyclopedia
https://en.wikipedia.org/wiki/Euler_characteristic
The Euler characteristic was originally defined for polyhedra and used to ..... A discrete analog of the Gauss–Bonnet theorem is Descartes' theorem that the "Polyhedral Formula -- from Wolfram MathWorld
mathworld.wolfram.com › ... › Polyhedra › Polyhedron Properties
It was discovered independently by Euler (1752) and Descartes, so it is also known as ... is the Euler characteristic, sometimes also known as the Euler-The Euler characteristic - Feature Column from the AMS
www.ams.org/samplings/feature-column/fcarc-descartes4
Descartes's Lost Theorem. The Euler characteristic. If you ask any mathematician for Euler's theorem, you will undoubtedly get it in the form. S - A + H = 2,.[PDF]Euler's formula and Platonic solids - University of Washington
www.math.washington.edu/~julia/teaching/445.../Paper_Euler.pdf
Jun 3, 2013 - (II) Existence of Planar Graphs. (III) Euler and his Characteristic Formula. (IV) Proof by Induction on Number of Edges. (V) Descartes Vs Euler, ...[PDF]The Euler Characteristic and Polya's Dream - Computing ...
www.computing-wisdom.com/jstor/euler-characteristic.pdf
by P Hilton - ‎1996 - ‎Cited by 20 - ‎Related articles
Nov 5, 2006 - relation of the Euler characteristic to the Descartes total angular defect. ... proof that Euler's formula for polyhedra and Descartes' theorem.[PPT]Euler Characteristic Theorem
www.nku.edu/~longa/classes/mat115mw/projects/Megan.ppt
This exercise verifies the Euler Characteristic Theorem. ... Being familiar with the philosophies of Descartes Leonhard Euler noticed this unfinished business.15 - A historical thread – Involving the Euler characteristic ...
ebooks.cambridge.org/chapter.jsf?bid=CBO9780511777004&cid...
15 - A historical thread – Involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream pp. 223-235. A historical thread – Involving theEuler's polyhedron formula | plus.maths.org
https://plus.maths.org/content/eulers-polyhedron-formula
May 31, 2007 - It turns out that it is described by two features. ... René Descartes, .... It turns out that this number, called the Euler characteristic, is crucial to the ...Did ancient mathematicians know Euler's characteristic for ...
mathoverflow.net/.../did-ancient-mathematicians-know-eulers-characteris...
Jan 14, 2014 - The formula is so simple that I can't believe that it was really Euler (or perhaps Descartes) who first observed it (I mean the formula itself in ...Euler's Formula
https://www.ics.uci.edu/~eppstein/junkyard/euler/
A version of the formula dates over 100 years earlier than Euler, to Descartes in 1630. Descartes gives a discrete form of the Gauss-Bonnet theorem, stating that ...