Editing Snub square antiprism (section)

{{short description|85th Johnson solid (26 faces)}}
{{Infobox polyhedron
| image         = snub_square_antiprism.png
| type          = [[Johnson solid|Johnson]]<br>{{math|[[snub disphenoid|''J''{{sub|84}}]] – '''''J''{{sub|85}}''' – [[sphenocorona|''J''{{sub|86}}]]}}
| faces         = 24 [[triangle]]s<br>2 [[square (geometry)|square]]s
| edges         = 40
| vertices      = 16
| symmetry      = <math> D_{4d} </math>
| vertex_config = <math> 8 \times 3^5 + 8 \times 3^4 \times 4 </math>
| properties    = [[convex set|convex]]
| net           = Johnson solid 85 net.png
}}
[[File:J85 snub square antiprism.stl|thumb|3D model of a snub square antiprism]]

In [[geometry]], the '''snub square antiprism''' is the [[Johnson solid]] that can be constructed by [[Snub (geometry)|snubbing]] the [[square antiprism]]. It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the [[Platonic solid|Platonic]] and [[Archimedean solid|Archimedean]] solids, although it is a relative of the [[icosahedron]] that has fourfold symmetry instead of threefold.