Namespaces
Variants
Actions

Difference between revisions of "Platonic solids"

From Encyclopedia of Mathematics
Jump to: navigation, search
m (→‎References: expand bibliodata)
(details)
 
Line 1: Line 1:
The name given to five convex [[Regular polyhedra|regular polyhedra]]: the [[Tetrahedron|tetrahedron]], the [[Cube|cube]], the [[Octahedron|octahedron]], the [[Dodecahedron|dodecahedron]], and the [[Icosahedron|icosahedron]]. The names of the polyhedra are Plato's names, who in his Timei (4th century B.C.) assigned them a mystical significance; they were known before Plato.
+
The name given to five convex [[regular polyhedra]]: the [[tetrahedron]], the [[cube]], the [[octahedron]], the [[dodecahedron]], and the [[icosahedron]]. The names of the polyhedra are Plato's names, who in his Timei (4th century B.C.) assigned them a mystical significance; they were known before Plato.
 
 
====Comments====
 
 
 
  
 
====References====
 
====References====
 
<table>
 
<table>
<TR><TD valign="top">[a1]</TD> <TD valign="top"> H.S.M. Coxeter,   "Regular polytopes" , Macmillan  (1963) {{ZBL|0118.35902}}</TD></TR>
+
<TR><TD valign="top">[a1]</TD> <TD valign="top"> H.S.M. Coxeter, "Regular polytopes", Macmillan  (1963) {{ZBL|0118.35902}}</TD></TR>
<TR><TD valign="top">[a2]</TD> <TD valign="top"> D. Hilbert,   S.E. Cohn-Vossen,   "Geometry and the imagination" , Chelsea  (1952)  pp. 90ff (Translated from German) {{ZBL|0047.38806}}</TD></TR>
+
<TR><TD valign="top">[a2]</TD> <TD valign="top"> D. Hilbert, S.E. Cohn-Vossen, "Geometry and the imagination" , Chelsea  (1952)  pp. 90ff (Translated from German) {{ZBL|0047.38806}}</TD></TR>
 
</table>
 
</table>

Latest revision as of 06:13, 16 April 2023

The name given to five convex regular polyhedra: the tetrahedron, the cube, the octahedron, the dodecahedron, and the icosahedron. The names of the polyhedra are Plato's names, who in his Timei (4th century B.C.) assigned them a mystical significance; they were known before Plato.

References

[a1] H.S.M. Coxeter, "Regular polytopes", Macmillan (1963) Zbl 0118.35902
[a2] D. Hilbert, S.E. Cohn-Vossen, "Geometry and the imagination" , Chelsea (1952) pp. 90ff (Translated from German) Zbl 0047.38806
How to Cite This Entry:
Platonic solids. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Platonic_solids&oldid=42535