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One of the eight convex deltahedra built up from 16 equilateral triangles. It consists of two oppositely faced square
pyramids rotated 
to each other and separated by a 4-antiprism.
It is Johnson solid 
.
If the centroid is at the origin and the sides are of unit length, the equations of the 4-antiprism give height of the middle points
as 
.
Adding the height of the square pyramids gives
apex heights of 
. The surface
area and volume of the solid are
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(1)
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(2)
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(3)
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