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After her thesis, she worked on the classification of algebraic surfaces by studying the configurations of lines that could lie on surfaces. The next step was to study rational curves lying on surfaces and in this framework Beloch obtained the following important result: "Hyperelliptic surfaces of
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and the application of mathematics, and in particular algebraic geometry, to it. She is also known for her contribution to the mathematics of paper folding: In particular she seems to have been the first to formalise an origami move which allows, when possible, to construct by paper folding the
61:. She received her degree in 1908 with Laude and "dignitĂ di stampa" which means that her work was worthy of publication, and in fact her thesis "Sulle trasformazioni birazionali nello spazio" (On Birational Transformations in Space) was published in the Annali di Matematica Pura ed Applicata.
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Beloch also made some contributions to the theory of skew algebraic curves. She continued working on topological properties of algebraic curves either planar or lying on ruled or cubic surfaces for most of her life, writing about a dozen papers on these subjects.
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In 1924, Beloch completed her "libera docenza" (a degree that at that time had to be obtained before one could become a professor), and three years later she became a full professor at the
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was very impressed with her talent and offered her the position of assistant which
Margherita took and held until 1919, when she moved to Pavia. In 1920 she moved to Palermo to work under
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common tangents to two parabolas. As a consequence she showed how to extract cubic roots by paper folding, something that is impossible to do by
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M. Beloch
Piazzolla, "Sur le nombre des plurisecantes et sur la classification des courbes gauches algebriques",
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M. Beloch
Piazzolla, "Sul metodo del ripiegamento della carta per la risoluzione dei problemi geometrici",
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Review of the journal version of "Sulle trasformazioni birazionali nello spazio": Emile Lampe,
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Thomas C. Hull, "Solving cubics with creases: the work of Beloch and Lill",
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and wrote her undergraduate thesis under the supervision of
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rank 2 are characterised by having 16 rational curves."
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Around 1940 Beloch become more and more interested in
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Scienziate d'Italia: diciannove vite per la ricerca
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38:Beloch was the daughter of the German historian
78:where she taught until her retirement (1955).
42:, who taught ancient history for 50 years at
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251:"The Magic and Mathematics of Paper-Folding"
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46:, and American Bella Bailey (daughter of
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81:Piazzolla is Beloch's married surname.
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89:Her main scientific interests were in
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521:Geometric Exercises in Paper Folding
200:Comptes Rendus de l'Ac. des Sciences
542:A History of Folding in Mathematics
53:Beloch studied mathematics at the
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16:Italian mathematician (1879–1976)
442:Alexandrov's uniqueness theorem
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26:– 28 September 1976, in
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380:Regular paperfolding sequence
153:"Margherita Beloch Piazzolla"
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704:Italian women mathematicians
528:Geometric Folding Algorithms
295:Mathematics of paper folding
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55:Sapienza University of Rome
44:Sapienza University of Rome
20:Margherita Beloch Piazzolla
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578:Margherita Piazzola Beloch
240:Ser. 4, 16 (1936) 104–108.
227:118 (2011), no. 4, 307–15.
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349:Yoshizawa–Randlett system
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238:Periodico di Mathematiche
549:Origami Polyhedra Design
157:Enciclopedia Delle Donne
699:Italian mathematicians
339:Napkin folding problem
76:University of Ferrara
694:People from Frascati
499:Fold-and-cut theorem
455:Steffen's polyhedron
319:Huzita–Hatori axioms
309:Big-little-big lemma
447:Flexible polyhedron
225:Amer. Math. Monthly
212:"Beloch Margherita"
69:Michele De Franchis
628:Toshikazu Kawasaki
451:Bricard octahedron
426:Yoshimura buckling
324:Kawasaki's theorem
95:algebraic topology
91:algebraic geometry
40:Karl Julius Beloch
22:(12 July 1879, in
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535:Geometric Origami
406:Paper bag problem
329:Maekawa's theorem
151:Kofler, Massimo,
119:ruler and compass
65:Guido Castelnuovo
59:Guido Castelnuovo
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608:David A. Huffman
573:Roger C. Alperin
476:Source unfolding
344:Pureland origami
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513:Publications
375:Möbius strip
365:Dragon curve
302:Flat folding
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689:1976 deaths
684:1879 births
648:KĹŤryĹŤ Miura
643:Jun Maekawa
618:KĂ´di Husimi
334:Map folding
176:(in German)
123:Beloch fold
678:Categories
638:Anna Lubiw
471:Common net
396:Miura fold
174:40.0727.04
129:References
556:Origamics
435:Polyhedra
249:Ken Liu,
34:Biography
613:Tom Hull
583:Yan Chen
466:Blooming
370:Flexagon
24:Frascati
255:Tor.com
566:People
421:Sonobe
202:, 1940
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461:Net
170:JFM
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