Small Stellated Dodecahedron
The small stellated dodecahedron, drawn here using Robert Webb’s Stella software, is made of 12 pentagrams, or 5-pointed stars, with 5 pentagrams meeting at each vertex.
The small stellated dodecahedron, drawn here using Robert Webb’s Stella software, is made of 12 pentagrams, or 5-pointed stars, with 5 pentagrams meeting at each vertex.
This image by Greg Egan shows the set of points \((a,b,c)\) for which the quintic \(x^5 + ax^4 + bx^2 + c \) has repeated roots. The plane \(c = 0 \) has been removed. This surface is connected to involutes of a cubical parabola and the discriminant of the icosahedral group.
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