# 頂點 (幾何)

## 定義

• 2條射線的起始點或交點
• 2條線段的連接或交點
• 2條直線的交點

### 多面體的頂點

${\displaystyle V-E+F=2,}$

### 平面鑲嵌的頂點

 多邊形的頂點同時也是平面鑲嵌的頂點之例子 其中一個反例

## 參考文獻

1. ^ Weisstein, Eric W. (编). Vertex. at MathWorld--A Wolfram Web Resource. Wolfram Research, Inc. （英语）.
2. ^ McMullen, Peter; Schulte, Egon, Abstract Regular Polytopes 1st, Cambridge University Press, December 2002, ISBN 0-521-81496-0
3. ^ Sidorov, L. A., Angle, Hazewinkel, Michiel (编), 数学百科全书, Springer, 2001, ISBN 978-1-55608-010-4
4. Heath, Thomas L. The Thirteen Books of Euclid's Elements 2nd ed. [Facsimile. Original publication: Cambridge University Press, 1925]. New York: Dover Publications. 1956.
(3 vols.): ISBN 0-486-60088-2 (vol. 1), ISBN 0-486-60089-0 (vol. 2), ISBN 0-486-60090-4 (vol. 3).
5. ^ Olshevsky, George, Vertex figure at Glossary for Hyperspace.
6. ^ Jing, Lanru; Stephansson, Ove. Fundamentals of Discrete Element Methods for Rock Engineering: Theory and Applications. Elsevier Science. 2007.
7. ^ Gruber, P.M. Convex and Discrete Geometry. Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg. 2007. ISBN 9783540711339. LCCN 2007922936.
8. ^ Senechal, Marjorie, Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination, Springer: 81, 2013 [2019-09-15], ISBN 9780387927145, （原始内容存档于2014-01-07）.
9. ^ Peter McMullen, Egon Schulte, Abstract Regular Polytopes, Cambridge University Press, 2002. ISBN 0-521-81496-0 (Page 29)
10. ^ Gibson, C. G., Elementary Geometry of Differentiable Curves: An Undergraduate Introduction, Cambridge University Press: p. 127, 2001, ISBN 9780521011075
11. ^ Bobenko, Alexander I.; Schröder, Peter; Sullivan, John M.; Ziegler, Günter M. Discrete differential geometry. Birkhäuser Verlag AG. 2008. ISBN 978-3-7643-8620-7.
12. ^ Richeson, David S.; Euler's Gem: The Polyhedron Formula and the Birth of Topology. Princeton University Press 2008.
13. ^ M.V. Jaric, ed, Introduction to the Mathematics of Quasicrystals (Aperiodicity and Order, Vol 2) ISBN 0-12-040602-0, Academic Press, 1989
14. ^ Introduction to Ear Cutting for Simple Polygons. McGill School Of Computer Science, McGill University. [2019-09-15]. （原始内容存档于2021-02-07）.
15. ^ Meisters, G. H., Polygons have ears, The American Mathematical Monthly, 1975, 82: 648–651, MR 0367792, doi:10.2307/2319703.
16. ^ Toussaint, Godfried, Anthropomorphic polygons, American Mathematical Monthly, 1991, 98 (1): 31–35, MR 1083611, doi:10.2307/2324033.
17. ^ Christen, Martin. Clockworkcoders Tutorials: Vertex Attributes. Khronos Group. [26 January 2009]. （原始内容存档于2019-04-12）.
18. Von Zelewsky, A. Stereochemistry of Coordination Compounds. Chichester: John Wiley. 1995. ISBN 0-471-95599-X.
19. ^ D. L. Kepert. Aspects of the Stereochemistry of Eight-Coordination. Progress in Inorganic Chemistry. 1978, 24: 179–249. doi:10.1002/9780470166253.ch4.