Tetrahedron Reeve: Perbedaan antara revisi

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Revisi per 9 Maret 2023 10.44

Dalam geometri, tetrahedron Reeve (atau bidang empat Reeve) merupakan keluarga dari polihedron (bidang banyak) dalam ruang berdimensi tiga yang memiliki titik sudut di koordinat $(0,0,0)$ , $(1,0,0)$ , $(0,1,0)$ , dan $(1,1,r)$ ; $r$ menyatakan suatu bilangan bulat positif. Tetrahedron ini dinamai dari John Reeve. Tetrahedron Reeve dipakai di tahun 1957 untuk menunjukkan bahwa perumuman dari teorema Pick untuk dimensi yang lebih tinggi itu tidak ada.^[1]

Rujukan

^ Kiradjiev, Kristian (December 2018). "Connecting the Dots with Pick's Theorem" (PDF). Mathematics Today. Institute of mathematics and its applications. Diakses tanggal January 6, 2023.

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Artikel bertopik geometri ini adalah sebuah rintisan. Anda dapat membantu Wikipedia dengan mengembangkannya.

[kiradjiev-1] Kiradjiev, Kristian (December 2018). "Connecting the Dots with Pick's Theorem" (PDF). Mathematics Today. Institute of mathematics and its applications. Diakses tanggal January 6, 2023.

[1]

@@ Baris 4: / Baris 4: @@
 == Rujukan ==
+{{reflist|30em|refs=
-<references group="" responsive="0">
-<ref name="kiradjiev"></ref>
-<ref name="br"></ref>
+<ref name=kiradjiev>{{cite magazine
+ | last = Kiradjiev | first = Kristian
-<ref name="k"></ref>
+ | title = Connecting the Dots with Pick's Theorem
-<ref name="reeve"></ref>
+ | date = December 2018
-</references>
+ | url = https://cdn.ima.org.uk/wp/wp-content/uploads/2018/12/Connecting-the-Dots-with-Pick-Theore-from-MT-December-2018.pdf
+ | magazine = Mathematics Today
+ | publisher = Institute of mathematics and its applications
+ | access-date = January 6, 2023}}</ref>
+<ref name=br>{{cite book
+ | last1 = Beck | first1 = Matthias
+ | last2 = Robins | first2 = Sinai
+ | doi = 10.1007/978-1-4939-2969-6
+ | edition = Second
+ | isbn = 978-1-4939-2968-9
+ | location = New York
+ | mr = 3410115
+ | publisher = Springer
+ | series = Undergraduate Texts in Mathematics
+ | title = Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra
+ | title-link = Computing the Continuous Discretely
+ | at = [https://books.google.com/books?id=J_LuCgAAQBAJ&pg=PA78 pp. 78–79, 82]
+ | year = 2015}}</ref>
+<ref name=k>{{cite journal
+ | last = Kołodziejczyk | first = Krzysztof
+ | doi = 10.1007/BF00150027
+ | issue = 3
+ | journal = Geometriae Dedicata
+ | mr = 1397808
+ | pages = 271–278
+ | title = An “odd” formula for the volume of three-dimensional lattice polyhedra
+ | volume = 61
+ | year = 1996}}</ref>
+<ref name=reeve>{{cite journal
+ | last = Reeve | first = J. E.
+ | doi = 10.1112/plms/s3-7.1.378
+ | journal = [[Proceedings of the London Mathematical Society]]
+ | mr = 0095452
+ | pages = 378–395
+ | series = Third Series
+ | title = On the volume of lattice polyhedra
+ | volume = 7
+ | year = 1957}}</ref>
+}}
 {{Geometry-stub}}
 [[Kategori:Geometri digital]]