Propellor Solids

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)

Propello Octahedron (canonical)
canonical form
Vertices:  30  (6[4] + 24[4])
Faces:32  (8 equilateral triangles + 24 tri-equiangular kites)
Edges:60  (36 short + 24 long)
Symmetry:  Chiral Octahedral  (O)
Dual Solid:  Propello Cube
(values below based on edge-scribed radius = 1)
Short Edge (36):  sqrt(root[(x^5)+12*(x^4)+96*(x^3)    
    −4608*(x^2)+4352*x−1024])    
≈0.65030172942276379902
Long Edge (24):  sqrt(root[(x^5)−28*(x^4)    
    +40*(x^3)−80*(x^2)+160*x−64])    
≈0.71238908594024406581
Edge-scribed Radius:  1
Volume:sqrt(root[59049*(x^5)−85660416*(x^4)    
    +173175128064*(x^3)−69842277236736*(x^2)    
    +6704546357182464*x−88704666086408192])    
≈3.9621508842665628297


References:[1]Sculpture Based on Propellorized Polyhedra (George Hart)