Propellor Solids

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Propello Tetrahedron (canonical)
canonical form
Vertices:  16  (4[3] + 12[4])
Faces:16  (4 equilateral triangles + 12 tri-equiangular kites)
Edges:30  (12 short + 18 long)
Symmetry:  Chiral Tetrahedral  (T)
Dual Solid:  Propello Tetrahedron (itself)
(values below based on edge-scribed radius = 1)
Short Edge (12):  2*sqrt(3*(64+cbrt(4*(7819+54087*sqrt(69)))    
    −cbrt(4*(54087*sqrt(69)−7819))))/33    
≈0.84898689854368819709
Long Edge (18):  2*sqrt(6*(cbrt(4*(11+3*sqrt(69)))    
    −cbrt(4*(3*sqrt(69)−11))−1))/3    
≈1.0570925484406993277
Edge-scribed Radius:  1
Volume:8*(69−cbrt(12*(39375+17083*sqrt(69)))    
    +cbrt(12*(17083*sqrt(69)−39375)))/99    
≈3.76424148244463218052


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