Trailing zero

The dihedral angles for the edge-transitive polyhedra are:

Picture	Name	Schläfli symbol	Vertex/Face configuration	exact dihedral angle (radians)	approximate dihedral angle (degrees)
Platonic solids (regular convex)
	Tetrahedron	{3,3}	(3.3.3)	arccos(1/3)	70.53°
	Hexahedron or Cube	{4,3}	(4.4.4)	π/2	90°
	Octahedron	{3,4}	(3.3.3.3)	π − arccos(1/3)	109.47°
	Dodecahedron	{5,3}	(5.5.5)	π − arctan(2)	116.56°
File:Icosahedron.png	Icosahedron	{3,5}	(3.3.3.3.3)	π − arccos(√5/3)	138.19°
Kepler-Poinsot solids (regular nonconvex)
File:Small stellated dodecahedron.png	Small stellated dodecahedron	{5/2,5}	(5/2.5/2.5/2.5/2.5/2)	π − arctan(2)	116.56°
File:Great dodecahedron.png	Great dodecahedron	{5,5/2}	(5.5.5.5.5)/2	arctan(2)	63.435°
File:Great stellated dodecahedron.png	Great stellated dodecahedron	{5/2,3}	(5/2.5/2.5/2)	arctan(2)	63.435°
File:Great icosahedron.png	Great icosahedron	{3,5/2}	(3.3.3.3.3)/2	arcsin(2/3)	41.810°
Quasiregular polyhedra (Rectified regular)
File:Uniform polyhedron-33-t1.png	Tetratetrahedron	r{3,3}	(3.3.3.3)	$\pi -\arccos \left(\frac{1}{3}\right)$	109.47°
File:Cuboctahedron.png	Cuboctahedron	r{3,4}	(3.4.3.4)	$\pi -\arccos \left(\frac{1}{\sqrt{3}}\right)$	125.264°
File:Icosidodecahedron.png	Icosidodecahedron	r{3,5}	(3.5.3.5)	$\pi -\arccos \left(\sqrt{\frac{(5+2\sqrt{5})}{15}}\right)$	142.623°
File:Dodecadodecahedron.png	Dodecadodecahedron	r{5/2,5}	(5.5/2.5.5/2)	π arctan(2)	116.56°
File:Great icosidodecahedron.png	Great icosidodecahedron	r{5/2,3}	(3.5/2.3.5/2)
Ditrigonal polyhedra
File:Small ditrigonal icosidodecahedron.png	Small ditrigonal icosidodecahedron	a{5,3}	(3.5/2.3.5/2.3.5/2)
File:Ditrigonal dodecadodecahedron.png	Ditrigonal dodecadodecahedron	b{5,5/2}	(5.5/3.5.5/3.5.5/3)
File:Great ditrigonal icosidodecahedron.png	Great ditrigonal icosidodecahedron	c{3,5/2}	(3.5.3.5.3.5)/2
Hemipolyhedra
File:Tetrahemihexahedron.png	Tetrahemihexahedron	o{3,3}	(3.4.3/2.4)		54.73°
File:Cubohemioctahedron.png	Cubohemioctahedron	o{3,4}	(4.6.4/3.6)		54.73°
File:Octahemioctahedron.png	Octahemioctahedron	o{4,3}	(3.6.3/2.6)		70.53°
File:Small dodecahemidodecahedron.png	Small dodecahemidodecahedron	o{3,5}	(5.10.5/4.10)		26.063°
File:Small icosihemidodecahedron.png	Small icosihemidodecahedron	o{5,3}	(3.10.3/2.10)		116.56°
File:Great dodecahemicosahedron.png	Great dodecahemicosahedron	o{5/2,5}	(5.6.5/4.6)
File:Small dodecahemicosahedron.png	Small dodecahemicosahedron	o{5,5/2}	(5/2.6.5/3.6)
File:Great icosihemidodecahedron.png	Great icosihemidodecahedron	o{5/2,3}	(3.10/3.3/2.10/3)
File:Great dodecahemidodecahedron.png	Great dodecahemidodecahedron	o{3,5/2}	(5/2.10/3.5/3.10/3)
Quasiregular dual solids
Error creating thumbnail:	Rhombic hexahedron (Dual of tetratetrahedron)	-	V(3.3.3.3)	π − π/2	90°
File:Rhombic dodecahedron.png	Rhombic dodecahedron (Dual of cuboctahedron)	-	V(3.4.3.4)	π − π/3	120°
File:Rhombic triacontahedron.png	Rhombic triacontahedron (Dual of icosidodecahedron)	-	V(3.5.3.5)	π − π/5	144°
File:DU36 medial rhombic triacontahedron.png	Medial rhombic triacontahedron (Dual of dodecadodecahedron)	-	V(5.5/2.5.5/2)	π π/3	120°
File:DU54 great rhombic triacontahedron.png	Great rhombic triacontahedron (Dual of great icosidodecahedron)	-	V(3.5/2.3.5/2)	π π/(5/2)	72°
Duals of the ditrigonal polyhedra
File:DU30 small triambic icosahedron.png	Small triambic icosahedron (Dual of small ditrigonal icosidodecahedron)	-	V(3.5/2.3.5/2.3.5/2)
File:DU41 medial triambic icosahedron.png	Medial triambic icosahedron (Dual of ditrigonal dodecadodecahedron)	-	V(5.5/3.5.5/3.5.5/3)
File:DU47 great triambic icosahedron.png	Great triambic icosahedron (Dual of great ditrigonal icosidodecahedron)	-	V(3.5.3.5.3.5)/2
Duals of the hemipolyhedra
File:Tetrahemihexacron.png	Tetrahemihexacron (Dual of tetrahemihexahedron)	-	V(3.4.3/2.4)	π π/2	90°
File:Hexahemioctacron.png	Hexahemioctacron (Dual of cubohemioctahedron)	-	V(4.6.4/3.6)	π π/3	120°
File:Hexahemioctacron.png	Octahemioctacron (Dual of octahemioctahedron)	-	V(3.6.3/2.6)	π π/3	120°
File:Small dodecahemidodecacron.png	Small dodecahemidodecacron (Dual of small dodecahemidodecacron)	-	V(5.10.5/4.10)	π π/5	144°
File:Small dodecahemidodecacron.png	Small icosihemidodecacron (Dual of small icosihemidodecacron)	-	V(3.10.3/2.10)	π π/5	144°
File:Small dodecahemicosacron.png	Great dodecahemicosacron (Dual of great dodecahemicosahedron)	-	V(5.6.5/4.6)	π π/3	120°
File:Small dodecahemicosacron.png	Small dodecahemicosacron (Dual of small dodecahemicosahedron)	-	V(5/2.6.5/3.6)	π π/3	120°
File:Great dodecahemidodecacron.png	Great icosihemidodecacron (Dual of great icosihemidodecacron)	-	V(3.10/3.3/2.10/3)	π π/(5/2)	72°
File:Great dodecahemidodecacron.png	Great dodecahemidodecacron (Dual of great dodecahemidodecacron)	-	V(5/2.10/3.5/3.10/3)	π π/(5/2)	72°

References

• Coxeter, Regular Polytopes (1963), Macmillian Company
  • Regular Polytopes, (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8 (Table I: Regular Polytopes, (i) The nine regular polyhedra {p,q} in ordinary space)
• Template:The Geometrical Foundation of Natural Structure (book) (Section 3-7 to 3-9)
• 
  
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