parabiaugmented truncated dodecahedron

{{Short description|69th Johnson solid}}

{{Infobox polyhedron

|image=parabiaugmented_truncated_dodecahedron.png

|type=Johnson
{{math|augmented truncated dodecahedron – J{{sub|69}} – metabiaugmented truncated dodecahedron}}

|faces=3x10 triangles
10 squares
2 pentagons
10 decagons

|edges=120

|vertices=70

|symmetry={{math|Point groups in three dimensions}}

|vertex_config={{math|2x10+20(3.10{{sup|2}})
10(3.4.5.4)
20(3.4.3.10)}}

|dual=-

|properties=convex

|net=Johnson solid 69 net.png

}}

In geometry, the parabiaugmented truncated dodecahedron is one of the Johnson solids ({{math|J{{sub|69}}}}). As its name suggests, it is created by attaching two pentagonal cupolas ({{math|J{{sub|5}}}}) onto two parallel decagonal faces of a truncated dodecahedron.

{{Johnson solid}}