triaugmented hexagonal prism

{{Short description|57th Johnson solid}}

{{Infobox polyhedron

|image=triaugmented_hexagonal_prism.png

|type=Johnson
{{math|Metabiaugmented hexagonal prism – J{{sub|57}} – Augmented dodecahedron}}

|faces=12 triangles
3 squares
2 hexagons

|edges=30

|vertices=15

|symmetry={{math|D{{sub|3h}}}}

|vertex_config={{math|3(3{{sup|4}})
12(3{{sup|2}}.4.6)}}

|dual=alternate order-4 truncated hexagonal bipyramid

|properties=convex

|net=Johnson solid 57 net.png

}}

In geometry, the triaugmented hexagonal prism is one of the Johnson solids ({{math|J{{sub|57}}}}). As the name suggests, it can be constructed by triply augmenting a hexagonal prism by attaching square pyramids ({{math|J{{sub|1}}}}) to three of its nonadjacent equatorial faces.

{{Johnson solid}}