Stellations Rhombic dodecahedron

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this animation shows construction of stellated rhombic dodecahedron inverting center-face pyramids of rhombic dodecahedron.


the first stellation, called stellated rhombic dodecahedron, known. can seen rhombic dodecahedron each face augmented attaching rhombic-based pyramid it, pyramid height such sides lie in face planes of neighbouring faces:





luke describes 4 more stellations: second , third stellations (expanding outwards), 1 formed removing second third, , adding original rhombic dodecahedron previous one.


great rhombic dodecahedron : 12 concave octagonal faces


great stellated rhombic dodecahedron : 12 concave dodecagonal faces








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