Category:Kepler-Poinsot solids with direction colors

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{3, 5} (I) and {5, 3} (D)	{5, 5/2} (gD) and {5/2, 5} (sD)	{3, 5/2} (gI) and {5/2, 3} (gsD)
(animations)	(animations)	(animations)
(animations)	(animations)	(animations)

Hull and core of the stellated dodecahedra
hull	star polyhedron	core	${\frac {\text{hull midradius}}{\text{core midradius}}}$	${\frac {\text{core midradius}}{\text{hull midradius}}}$
			${\frac {{\sqrt {5}}+1}{2}}=1.61803...$	${\frac {{\sqrt {5}}-1}{2}}=0.61803...$
			${\frac {3+{\sqrt {5}}}{2}}=2.61803...$	${\frac {3-{\sqrt {5}}}{2}}=0.38196...$
Compare Pentagram and decagram hull and core (image set)			difference 1	sum 1

Stellated dodecahedra as augmentations
core	star polyhedron	Catalan solid
		pentakis dodecahedron
		triakis icosahedron

POV-Ray sources on GitHub
	icosahedral	pyritohedral
gD	KeplerPoinsot_great_12.pov	KeplerPoinsot_great_12_pyritohedral.pov
sD	KeplerPoinsot_great_12_dual.pov	KeplerPoinsot_great_12_dual_pyritohedral.pov
gI	KeplerPoinsot_great_20.pov	KeplerPoinsot_great_20_pyritohedral.pov
gsD	KeplerPoinsot_great_20_dual.pov	KeplerPoinsot_great_20_dual_pyritohedral.pov

Subcategories

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