Journal
Articles
"A summation
formula and
an identity for a class of Dirichlet series", Acta
Arithmetica, Vol. XI, No. 4; 1966, 443-449. MR
34
155.
"Point groups
and color
symmetry", Zeitschrift fur
Kristallographie, 142, 1975, 1-23.
"The
mechanism of
formation of certain growth twins of the penetration type", Neues
Jarbuch fur Mineralogie, 11, 1976,
518-524.
"A prophet
without honor,
Dorothy Wrinch 1894-1976", Smith
Alumnae Quarterly, April 1977, 18-23.
"Number, the
ruler of all
things", Smith Alumnae Quarterly,
February, 1978, 12-18.
"Themes and
variations", Criss-Cross Art
Communications, 7,8,9; 1979, 40-45.
"Color
groups", Discrete Applied Mathematics, 1, 1979,
51-73, MR 81d:20044.
"Recent
advances and
unsolved problems in symmetry theory", in Uzori Symmetrii. In Russian.
(with R.V. Galiulin)
"The genesis
of growth twins in
crystals",
Kristallografia, 25 (5), 1980, 908-915, in Russian.
English translation in Soviet Physics -
Crystallography, 25 (5), September-October 1980,
520-524, MR 82d:82074.
"A simple
characterization of the subgroups of space groups", Acta
Crystallographica, A36, 1980, 845-850, MR 82e:20059.
"Which
tetrahedra fill
space?", Mathematics Magazine,
54 (5), November 1981, 227-243, MR 83h:52020.
"Coloring
symmetrical
objects symmetrically", Mathematics
Magazine, 56 (1), January 1983, 3-16, MR 84f:20008.
"Color
symmetry and
colored polyhedra", Acta
Crystallographica, A39, 1983,
505-511, MR 85b:20066.
"On colored
lattices and
lattice preservation", Acta
Crystallographica, A39, 1983, 74-76, MR 84j:51021. (with
M.Rolley-LeCoz and
Y. Billiet)
"An
introduction to the
theory of figures: the geometry of E.S. Fedorov",
Structural Topology, 10, 1984, 5-22, MR 86g:01034. (with
R.V. Galiulin)
"Space
groups and their isotropy subgroups, Journal of
Mathematical Physics, 25 (1984)
3148-3154. (with M.V. Jaric)
"Morphisms of
crystallographic groups: kernels and images",
Journal of Mathematical Physics, 26 (1985) 219-228, MR 86i:20071.
"Geometry and
crystal
symmetry", Computers and Mathematics
with Applications, Vol. 12B, Nos. 3/4, 1986, 565-578. Reprinted in
Symmetry, Istvan Hargittai, editor. Pergamon Press, 1986.
"Two-dimensional
math in
a three dimensional world", Education
Week, Vol. IV, No. 20, February 6, 1985, p. 40.
Reprinted in
Education Digest, October
1985, 50-52 (with G. Fleck).
"Introduction
to
mathematical crystallography", 19 pp., and "Report on the workshop on
mathematical crystallography", 6 pp., IHES/p/85/47
(preprint).
"F faces of
apatite and
its morphology: theory and observation",
Journal of Crystal Growth 78 (1986), 468-478.
(with R.A. Terpstra, P. Bennema, P. Hartman, C.F. Woensdreght and W.G.
Perdok)
"The crisis
in
crystallography: a case study in the role of aesthetics in science", Intersciencia,
Vol. 12, No. 2 (1987), 58-62.
"Tiling the
torus and
other space forms", Discrete
and Computational Geometry,
Vol. 3, No. 1, 1988 (55-72). MR
89a:52040
"Color
symmetry", Computers and
Mathematics with Applications, Vol. 16, No. 5-8,
1988, 545-533. In Crystal
Symmetries, edited by Istvan Hargittai and Boris K. Vainshtein, the
Shubnikov Centennial Papers, Pergamon Press.
"Mathematics
in the
Philippines". Intersciencia,
Vol. 13, No. 3, May-June 1988, 141-144.
"The
algebraic
Escher", Structural Topology,
No. 15, 1989, 31-42.
"Symmetry
revisited", Computers and
Mathematics with Applications, Vol. 17, No. 1-3,
1989, 1-12 (published as Symmetry II, Istvan Hargittai, Pergamon Press.)
"Finding the
finite
groups of symmetries of the sphere", in
The American Mathematical Monthly, 1990,
Vol. 97, No. 4, 329-335.
"Quasicrystals: the view from Les Houches", with Jean
Taylor.
The Mathematical Intelligencer, Vol. 12, No. 2, 1990, 54-64,
MR 91a:
52028.
"From
symmetry to
disorder: A Personal Odyssey" (1991
Engel Lecture; published in Five
College Ink, Five Colleges, Inc.,
Amherst, MA, May 1991.)
"Quasicrystals
and
mathematics", Phase Transitions,
V. 43, Nos 1-4, Section B (Special Issue on
Modulated structures, Polytypes, and Quasicrystals, Part I, edited by
M.
Farkas-Jahnke and E. Pál), 1993, pp. 27-34.
"Tilings,
quasicrystals,
and Hilbert's 18th Problem", Structural
Topology, v. 20, 1993,
7-26.
"Galilelo's
book 'The
Universe', 371st edition: number theory, computer graphics, and the
Sciences", Smith College preprint No. 1.
"Tilings,
diffraction,
and quasicrystals", The
Mathematica Journal, Vol. 4, No. 2
(1994) 10-15.
"An Extension
of
Vorono\"\i's theorem on primitive parallelotopes",
(with L. Michel and S.S. Ryshkov), European
Journal of Combinatorics, 16 (1995), 59 - 63.
"Two
communities and
vertical integration", The
Mathematical Intelligencer, vol. 19,
no. 2, 1997, 33 - 37.
"Tilings by
related
zonotopes", (with Henry Crapo),
Mathematical and Computer Modelling, Vol. 26, Nos. 8-10,
1997, 60-73.
"The
Continuing Silence
of Bourbaki: an interview with Pierre Cartier", The
Mathematical Intelligencer, Vo. 20, No. 1, 1998, 22-28.
"Oberwolfach,
1940-1960", The Mathematical
Intelligencer, Vol. 20, No. 4, 1998, 17-24.
"Multiregular
point
systems", (with Jeff Lagarias and Nikolai Dolbilin), Discrete
and Computational Geometry, Vol. 20, 1998, 477-498.
"Parallel
Worlds: M. C.
Escher and mathematics, revisited", The
Mathematical Intelligencer, Volume
21, No. 1, 1999, 13-19
"Between
Discovery and
Justification", The Mathematical Intelligencer, Vol. 22, No. 3,
2000, 16-17.
"New
geometric invariants
for Euclidean lattices," with Peter Engel and Louis Michel, in
"Réseaux
euclidiens, designs sphériques et formes modulaires, J. Martinet
(ed),
Monographie No. 37 de L'Enseignement Mathematique. 268-272,
Geneva,
2001.
"The Mysterious Mr. Ammann," Mathematical Intelligencer, Vol. 26, No.
4, 2004, 10 - 21.
Book
chapters:
"The
formation of
penetration twins", in Processes
of Real Crystal Formation,
edited by N.V. Belov, Nauka, Moscow, 1977, 61-64, in Russian. (with
N.N.
Sheftal)
"Escher
designs on
surfaces", in M.C.
Escher, Art and Science, edited by HSM Coxeter, R. Penrose, M.
Teuber, and M. Emmer, North-Holland, Amsterdam, 1986
."A brief
introduction to
tilings", in Introduction to
the Mathematics of Quasicrystals, ed. by Marko
Jaric, Academic Press, 1989, 1-51, MR 91a: 52030.
"A brief
history of
geometrical crystallography", in An
Historical Atlas of Crystallography,
edited by J. Lima de Faria, Kluwer Academic Publishers, 1990, 43-59.
"Shape", in On the
Shoulders of Giants : a new approach to numeracy, Lynn Steen, ed.,
National
Academy of Sciences Press, 1990.
"Generalizing
crystallography: puzzles and problems in dimension one", in Quasicrystals,
Networks, and Molecules of Five-Fold Symmetry, I. Hargittai, ed.,
VCH
Publishers, 1990, MR 92f:11184
"Isohedral
parallelotopes",
to appear in a volume of essays honoring the centenary of Fedorov's
enumeration
of the space groups, Moscow, 1991.
"Visualization
and visual
thinking", in Geometry's Future,
a COMAP publication.
"Introduction
to lattice
geometry", in From Number
Theory to Physics, M. Waldschmidt and P. Moussa,
eds. Springer Verlag, 1992.
"Hierarchical
tilings", in Proceedings of
1991 Symposium on Hierarchically Structured Materials,
I. A. Aksay, E. Baer, M. Sarikaya and D. A. Tirrell, eds, Materials
Research
Society, Vol. 255, 1992.
"Calendars,
pacemakers,
and quasicrystals", in In
Eves' Circles (proceedings of the
"Eves
Conference", Orlando, FL, June 1991), edited by J.M. Anthony,
Mathematical
Association of America, 1994.
"A critique
of the
projection method", in The
Mathematics of Aperiodic Order, R.
Moody and J. Patera, eds, Kluwer, 1997
"Tilings"
(with
Doris Schattschneider), in A
Handbook of Discrete and Computational
Geometry, J. Goodman and J. O'Rourke, eds, CRC Press, 1997.
"Crystals and
quasicrystals",
in A
Handbook of Discrete and Computational Geometry, J. Goodman and J.
O'Rourke, eds, CRC Press, 1997.
"From
summation formulae
to lattices and back again", in
Voronoi's Impact on Modern Science, Halyna Syta, ed., Institute of
Mathematics, Kyiv, 1998, 60-70.
"The Local
Theorem
Revisited", in Aperiodic '97,
Proceedings of the International Conference on Aperiodic Crystals, M.
de
Boissieu, J-L Verger-Gaugry, and R. Currat, eds., World Scientific
Publishers,
Singapore, 1998, 3-7.
"Periodic and
Nonperiodic
tilings of E^n",
Contemporary Mathematics, Volume 223, , J. Goodman and
R. Pollack,
eds., American Mathematical Society, 1999, 293-312.
"Reflections
on the
Kaleidoscope", in Symmetry 2000,
T. Laurent and I. Hargittai, eds., Portland Press, London, 2002:
101-108.
"The Symmetry
Mystique", in M. C. Escher's Legacy:
a centennial celebration, D.
Schattschneider and M. Emmer, eds.,
Springer-Verlag, 2002: 427-444.
“Narco Brat,”
in Of Human
Bondage: historical perspectives on addiction, D. Patey, ed.,
Smith College
Studies in History, 2003: 173 – 200.
"The Camel
and the
Needle: silk and the Stetson letters", in Letters from an
American Utopia: the Stetson family and the Northampton
Association, 1843 - 1846, edited by
K. Buckley and C. Clark, University of
Massachusetts Press, 2004.
Book
Reviews
The
Mathematical Theory of
Chromatic Plane Ornaments by T.W.Wieting,
American
Mathematical Monthly, Vol. 90,
No. 8 October 1983,
574-75.
Descartes on
Polyhedra, by
P.J. Federico, Historia
Mathematica, Vol. 11, No. 3, August
1984, 333-334.
Dual Models,
by Magnus
Wenninger, American
Scientist, March 1985.
Groups: a
path to geometry, by
John Burns, American
Mathematical Monthly, Vol. 94,
No. 6,
June - July 1987, 567-570.
Tilings and
Patterns, by
Branko Grunbaum and G.S. Shepard, American Scientist,
September-October 1987, 521-522.
The Shape of
Space by Jeffrey
Weeks; Tilings and Patterns by Branko Grunbaum and
Geoffrey Shepard; Regular Solids and
Isolated Singularities by Klaus Lamotke.
The
Mathematical Intelligencer, Vol. 10, No. 2, Spring 1988,
68-71.
Reality's
Mirror: Exploring the Mathematics of
Symmetry, by
Bryan Bunch. American
Scientist, Vol. 78,
1990,
382.--
Symmetrie --
Gruppe --
Dualitat, by Erhard Scholtz. (With
Branko Grunbaum.)
Historia
Mathematica, 18, 1991, 377-380.
Visions of
Symmetry, by Doris
Schattschneider, and The Emperor's New
Mind, by
Roger Penrose. The
Mathematical Intelligencer, Vol. 14, No. 2, 1992, 72-77.
Quasicrystals:
the state of
the art, by David DiVincenzo and P. Y. Steinhardt, eds,
Science ..
.
Spatial
Tessellations, by
Okabe, Boots, and Suyihare, Science, v. 260, May 1993,
1170-1173.
The Visual
Mind, by M. Emmer
(ed), SIAM Review, 36 v. 4
(1994), 676 - 677.
Reviewer for
mathematical and
crystallographic journals and the National Science
Foundation
Miscellaneous
Editor
(translation from the
Russian) of Highly Anisotropic Crystals,
by E.I. Givargizov,
D. Reidel Publishing Company,
Dordrecht/Boston/ Lancaster, 1986.
Op-Ed "Albanians need economic
assistance", Daily Hampshire Gazette,13, 1997. (A
very abbreviated version was printed
in the New York Times as a Letter to the
Editor
a week or so later.)
Exhibition
Catalog "Guide
to the Exhibition" ("High Albania", photographs by Stan
Sherer, Amherst College, Frost Library,
March 1995.)