title: Truncated square trapezohedron
text: # Truncated square trapezohedron
  
  In geometry, the square truncated trapezohedron is the second in an infinite series of truncated trapezohedra. It has 8 pentagon and 2 square faces.
  
  This polyhedron can be constructed by taking a tetragonal trapezohedron and truncating the polar axis vertices. The kite faces of the trapezohedron become pentagons.
  
  The vertices exist as 4 squares in four parallel planes, with alternating orientation in the middle creating the pentagons.
  
  A truncated trapezohedron has all valence-3 vertices. This means that the dual polyhedrona gyroelongated square dipyramid has all triangular faces.
  
  It represents the dual polyhedron to the Johnson solid, gyroelongated square dipyramid $(J_{17}),$ with specific proportions:
  
  | Square truncated trapezohedron | Net |
  | - | - |
  
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