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Publications by Roger Herz-Fischler

Roger Herz-Fischler is a retired professor of mathematics. After years of doing research in theoretical probability he became interested in the sociology of mathematical myths, in particular of the golden number. His research, always based on original source material, led to his books:

A Mathematical History of Division in Extreme and Mean Ratio, republished as A Mathematical History of the Golden Number

The Shape of the Great Pyramid

Adolph Zeising / (1810-1876) / The Life and Work of a German Intellectual

as well as to many articles.

In addition to his research publications, Roger Herz-Fischler is interested in pedagogy and has published four textbooks, including A Guide to Matlab; see below.

Complete List of books and articles

Click here for a list---in PDF format---of all research and educational writings by Eliane and Roger Herz-Fischler


Links to Copies of Articles, etc.

Eliane Herz-Fischler
"Le Jeu de l'amour et du hazard"
History of Mathematics

"Theorem XIV** of the First `Supplement' to Euclid's Elements" Archives internationales d'histoire des sciences 38 (1988), no. 120, pp. 3-66 [I consider this as my best work].

"What are Propositions 84 and 85 of Euclid's Data All About?" Historia Mathematica 11 (1984), pp. 86-91

"A 'Very Pleasant Theorem' "

"De quand date le premier rapprochement entre la suite de Fibonacci et la division en extrêeme et moyenne raison?" (with L. Curchin).

"A Remark on Euclid II,11"

Golden Numberism, Architecture, History of Art

"Proportions in the Architecture Curriculum"     A link to the article in HTML format.      The article in PDF format.  N.B. In the PDF version Figure 21, "Garches" is labelled 21 and Figure 22 "Stuttgart" is missing.

"Le Nombre d'Or en France de 1896 à 1927"   The article itself.     Notes for the article.

"How to Find the 'Golden Number' Without Really Trying"    [This is suggested reading for anyone who is analysing literature, music or anything involving counts; for continuous measurements see the chapter on philosophy in The Shape of the Great Pyramid.]

"The Home of Golden Numberism"

"On the Application of the Golden Ratio in the Visual Arts"

"Seurat and the Golden Number"


Le Corbusier

Several of my articles deal entirely or in part with Le Corbusier:

Case studies 10, 11 and 12 of "Proportions in the Architecture Curriculum" discuss, with mathematical details, Le Corbusier's methods. Figures 20 -- 28 may be consulted in connection with the next two articles. For a clearer copy of the preliminary sketch (Figure 21) for Garches, see below.

"The Early of Relationship of Le Corbusier to the 'Golden Number' "


"Le Corbusier's 'Regulating Lines' for the Villa at Garches (1927) and Other Early Architectural Works"

The printed version of "Le Corbusier's 'Regulating Lines' for the Villa at Garches (1927) and Other Early Architectural Works" was a much shortened version (16 footnotes) of the original (40 footnotes) version. Following several exchanges with Jef7rey Hildner (see his Garches 1234, special edition, Boston: The Architect Painter Press, 2009, for many drawings, photographs and his analysis of Garches) I have decided to present my original version (typed in Paris in early 1983; the lines and streaks represent "cut and paste" in the pre-word processor sense). See "Proportions in the Architecture Curriculum" for the diagrams referred to.

The original summary, list of diagrams and chart of published examples of regulating lines for "Le Corbusier's 'Regulating Lines' for the Villa at Garches (1927) and Other Early Architectural Works".

The original text for "Le Corbusier's 'Regulating Lines' for the Villa at Garches (1927) and Other Early Architectural Works".

The original footnotes for "Le Corbusier's 'Regulating Lines' for the Villa at Garches (1927) and Other Early Architectural Works".

A clearer copy of the preliminary sketch for Garches.

The contract for Garches, November 10, 1926.


The article "Le Nombre d'Or en France"  discusses Le Corbusier's relationship to the painters Gris and Severini.


Miscellaneous

"Geographical Boundary Extrema" (with HelenJane Armstrong)

"Durer's Paradox, or Why an Ellipse is Not Egg-Shaped"

Octave and Matlab
A Guide to Matlab

An Introduction to Octave for High School and University Students


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