The Gyroelongated Pentagonal Bicupola
The gyroelongated pentagonal bicupola is the 46th Johnson solid (J46). It has 30 vertices, 70 edges, and 42 faces (30 equilateral triangles, 10 squares, and 2 pentagons).
The gyroelongated pentagonal bicupola can be constructed by attaching two pentagonal bicupolae to a decagonal antiprism, or equivalently, adding a second pentagonal cupola to a gyroelongated pentagonal cupola (J24).
J46 is one of the few Johnson solids that are chiral; it is distinct from its own mirror image:
Projections
Here are some views of the gyroelongated pentagonal bicupola from various angles:
Projection  Description 

Top view. 

Front view. 

9° side view. 
Coordinates
The Cartesian coordinates of the gyroelongated pentagonal bicupola with edge length 2 are:
 (0, √((10+2√(5))/5), 2√((3−φ)/5) + H)
 (±φ, √((5−√(5))/10), 2√((3−φ)/5) + H)
 (±1, −√((5+2√(5))/5), 2√((3−φ)/5) + H)
 (±2φ, 0, H)
 (±1, ±√(3+4φ), H)
 (±φ^{2}, ±√(2+φ), H)
 (0, ±2φ, −H)
 (±√(3+4φ), ±1, −H)
 (±√(2+φ), ±φ^{2}, −H)
 (√((10+2√(5))/5), 0, −(2√((3−φ)/5) + H))
 (√((5−√(5))/10), ±φ, −(2√((3−φ)/5) + H))
 (−√((5+2√(5))/5), ±1, −(2√((3−φ)/5) + H))
where H = √(√(11φ+7)−2φ−1), approximately 0.862397, is half the height of a decagonal antiprism of edge length 2, and φ = (1+√5)/2 is the Golden Ratio.