NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ854205
Record Type: Journal
Publication Date: 2007
Pages: 5
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0046-2012
Platonic Symmetry and Geometric Thinking
Zsombor-Murray, Paul
Engineering Design Graphics Journal, v71 n2 p20-24 Spr 2007
Cubic symmetry is used to build the other four Platonic solids and some formalism from classical geometry is introduced. Initially, the approach is via geometric construction, e.g., the "golden ratio" is necessary to construct an icosahedron with pentagonal faces. Then conventional elementary vector algebra is used to extract quantitative relations among angles and length ratios pertaining to planes and lines as solid boundaries and the relations of these to planes and axes of symmetry. Simple but general and far-reaching notions of symmetry in analysis are mentioned. (Contains 2 figures.)
Engineering Design Graphics Division, American Society for Engineering Education. 1818 N Street NW Suite 600, Washington, DC 20036. Tel: 202-331-3500; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A