Archimedean-Catalan Hulls
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Joined Truncated Tetrahedron
Vertices:
20 (4[3] + 12[3] + 4[6])
Faces:
18 (12 kites + 6 rhombi)
Edges:
36 (12 short + 24 long)
Symmetry:
Full Tetrahedral (Td)
Long Edge Angle:
acos(−2/3)
≈131.810314896 degrees
Short Edge Angle:
acos(−8/9)
≈152.733955549 degrees
(values below based on unit-edge-length
Truncated Tetrahedron
)
Short Edge (12):
sqrt(34)/10
≈0.58309518948453004709
Long Edge (24):
sqrt(10)/2
≈1.5811388300841896660
Rhombus Length:
3
Rhombus Width:
1
Kite Length:
9/5
1.8
Kite Width:
1
[3]-Vertex Radius (4):
9*sqrt(6)/20
≈1.1022703842524301442
[3]-Vertex Radius (12):
sqrt(22)/4
≈1.1726039399558573886
[6]-Vertex Radius (4):
3*sqrt(6)/4
≈1.8371173070873835736
Inscribed Radius:
3*sqrt(2)/4
≈1.0606601717798212866
Volume:
99*sqrt(2)/20
≈7.0003571337468204916
References:
[1]
Conway Notation for Polyhedra (George Hart)