Roger Herz-Fischler

            Publications Related to the Golden Number


Note: All articles prior to 1982 were written under the name
Fischler rather than Herz-Fischler.

Note: The first section lists works dealing with the
aesthetic aspects etc. ("golden number"); the second lists
those dealing with the history of mathematics aspects
("division in extreme and mean ratio").

A.  Publications related to the "golden number".

1.  "Theories mathematiques de la grande pyramide.", Crux
Mathematicorum, 4(1978), 122-129.

2.  "The Early Relationship of Le Corbusier to the `Golden
Number'.", Environment and Planning B, 6(1979), 95-103.

3.  "What Did Herodotus Really Say? or How to Build (a
Theory of) the Great Pyramid.", Environment and Planning B,
6(1979), 89-93.

4.  "Juan Gris, son milieu et le `nombre d'or'.", Canadian
Art Review, 7(1980), 33-36. (with E. Fischler).

5.  "On Applications of the Golden Ratio in the Visual
Arts.", Leonardo, 14(1981), 31-32.

5a. ["Reply to a Letter by P. Khan."], Leonardo, 14(1981),
262-264.

5b. ["Reply to a Letter by R. Arnheim."], Leonardo,
14(1981), 349-351.

6.  "How to Find the `Golden Number' Without Really
Trying.", Fibonacci  Quarterly, 19(1981), 406-410.

7.  ["Comment on an Article by D. Chen."], Palestine
Exploration Quarterly, 114(1982), 77-78.

8.  "An Examination of Claims Concerning Seurat and `The
Golden Number'.", Gazette des Beaux Arts, 125(1983), 109-
112.

9 . "Le Corbusier's `Regulating Lines' for the Villa at
Garches (1927) and Other Early Works.", Journal of the
Society of Architectural Historians, 43(1984), 53-59.

10.  "The golden number, and division in extreme and mean
ratio" in Companion Encylopedia of the History and
Philosophy of the Mathematical Sciences, I. Grattan-Guinness
ed., London, Routledge, 1994, 1576 -1584.

11.  Le nombre d'or en France de 1896 a 1927,  La Revue de
l'art, 118 no 4, (1997). 9-16

12. The Shape of the Great Pyramid, Waterloo, Ontario:
     Wilfrid Laurier University Press, 2000.
     For information click on Great Pyramid above or---directly---
  http://mathstat.carleton.ca/~rhfischl/great_pyramid/great_pyramid.html

13. Proportions in the Architecture Curriculum. Nexus Network Journal. vol
3, no. 3 (Summer 2001), http://www.nexusjournal.com/Didactics-RHF.html

14. (Book) Golden Numberism. Book in progress.

B.   Publications related to "division in extreme and mean
     ratio".

1.  "A Remark on Euclid II,11.", Historica Mathematica,
6(1979), 418-422.

2.  "Hero of Alexandria's Numerical Treatment of Division in
Extreme and  Mean Ratio and its Implications.", Phoenix,
35(1981), 129-133. (with L. Curchin).

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

4.  "De quand date le premier rapprochement entre la suite
de Fibonacci et la division en extreme et moyenne raison?",
Centaurus, 28(1985), 129-138. (with L.  Curchin).

v4a.  ["Letter to the Editor."], Fibonacci Quarterly,
24(1986), 382.

5.   A Mathematical History of Division in Extreme and Mean
Ratio, Waterloo, Ontario: Wilfrid Laurier University Press,
1987. Reprinted as A Mathematical History of the Golden
Number, New York: Dover, 1998.

6.  "Theorem XIV,** of the First "Supplement" to Euclid's
Elements.", Archives Internationales d'Histoire des
Sciences, no. 120 (1988), 3-66.

7.  "A `Very Pleasant' Theorem." College Mathematics
Journal, 24(1993), 318-324.

Miscellaneous

1.   Durer's Paradox or Why an Ellipse is Not Egg-Shaped,
     Mathematics Magazine, Mathematics magazine, 63(1990),
     75-85;   (cover article).

2.  Geographical Boundary Extrema, American Mathematical
     Monthly, 98(1991), 752-753. (with HelenJane Armstrong).