gyroelongated triangular bicupola

{{Short description|44th Johnson solid}}

{{Infobox polyhedron

|image=gyroelongated_triangular_bicupola.png

|type=Johnson
{{math|elongated pentagonal gyrobirotunda – J{{sub|44}} – gyroelongated square bicupola}}

|faces=2+3×6 triangles
6 squares

|edges=42

|vertices=18

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

|vertex_config={{math|6(3.4.3.4)
2.6(3{{sup|4}}.4)}}

|dual=-

|properties=convex, chiral

|net=Johnson solid 44 net.png

}}

In geometry, the gyroelongated triangular bicupola is one of the Johnson solids ({{math|J{{sub|44}}}}). As the name suggests, it can be constructed by gyroelongating a triangular bicupola (either triangular orthobicupola, {{math|J{{sub|27}}}}, or the cuboctahedron) by inserting a hexagonal antiprism between its congruent halves.

{{Johnson solid}}

The gyroelongated triangular bicupola is one of five Johnson solids which are chiral, meaning that they have a "left-handed" and a "right-handed" form. In the illustration to the right, each square face on the bottom half of the figure is connected by a path of two triangular faces to a square face above it and to the right. In the figure of opposite chirality (the mirror image of the illustrated figure), each bottom square would be connected to a square face above it and to the left. The two chiral forms of {{math|J{{sub|44}}}} are not considered different Johnson solids.