Projection of polyhedra onto Coxeter planes described with quaternions
Other Title(s)
إسقاط متعددات السطوح على سطح كوزتر باستخدام الرباعيات
Joint Authors
Koca, Mehmet
al-Ajami, Mudhahir
Bu Salasil, Hashimah Bayt
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 19, Issue 2 (31 Dec. 2014), pp.77-90, 14 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2014-12-31
Country of Publication
Oman
No. of Pages
14
Main Subjects
Topics
Abstract AR
الإسقاط العمودي للمجسمات الأفلاطونية و الأرخميدية و الكاتالانية ثلاثية الأبعاد على سطح كوكزتر (Coxeter plane) يتم باستخدام الجذور البسيطة لأشكال كوكزتر Coxeter diagram I2(h) ( المتجهات الساقطة لهذه المجسمات على سطح كوكزتر(Coxeter) تحتوي على التماثل النقطي للمجموعات ثنائية الأسطح (dihedral grou).
استخدمنا الرباعيات (quaternions) للتعبير عن عناصر مجموعة كوكزتر (Coxeter) و عن رؤوس المجسمات في هذه الورقة البحثية.
Abstract EN
3-dimensional convex uniform polyhedra have been projected onto their corresponding Coxeter planes defined by the simple roots of the Coxeter diagram I2 (h).
The projected vertices of a polyhedron onto its corresponding Coxeter plane constitute an orbit of the dihedral group Dh.
In this paper, we use the quaternionic representations of the Coxeter group elements and the vertices of the polyhedra.
American Psychological Association (APA)
al-Ajami, Mudhahir& Koca, Mehmet& Bu Salasil, Hashimah Bayt. 2014. Projection of polyhedra onto Coxeter planes described with quaternions. Sultan Qaboos University Journal for Science،Vol. 19, no. 2, pp.77-90.
https://search.emarefa.net/detail/BIM-532091
Modern Language Association (MLA)
al-Ajami, Mudhahir…[et al.]. Projection of polyhedra onto Coxeter planes described with quaternions. Sultan Qaboos University Journal for Science Vol. 19, no. 2 (2014), pp.77-90.
https://search.emarefa.net/detail/BIM-532091
American Medical Association (AMA)
al-Ajami, Mudhahir& Koca, Mehmet& Bu Salasil, Hashimah Bayt. Projection of polyhedra onto Coxeter planes described with quaternions. Sultan Qaboos University Journal for Science. 2014. Vol. 19, no. 2, pp.77-90.
https://search.emarefa.net/detail/BIM-532091
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 90
Record ID
BIM-532091
