A rhombicuboctahedron has 24 vertices. This polyhedron is classified as an Archimedean solid and features 8 triangular faces, 18 square faces, and 24 edges, contributing to its unique geometric properties.
Chat with our AI personalities
72 Edges
It has 26 faces and 24 vertices
Here is some information about the 13 Archimedean solids:Tetrahedron-related:1) The truncated tetrahedron has 12 vertices, 18 edges, & 8 faces (4 triangles & 4 hexagons).Cube-related:2) The truncated cube has 24 vertices, 36 edges, & 14 faces (8 triangles & 6 octagons). Also known as a truncated hexahedron.3) The truncated octahedron has 24 vertices, 36 edges, & 14 faces (6 squares & 8 hexagons).4) The cuboctahedron has 12 verticies, 24 edges, & 14 faces (8 triangles & 6 squares).5) The small rhombicuboctahedron has 24 vertices, 48 edges, & 26 faces (8 triangles & 18 squares). Also known simply as a rhombicuboctahedron.6) The great rhombicuboctahedron has 48 vertices, 72 edges, & 26 faces (12 squares, 8 hexagons, & 6 octagons). Also known as a truncated cuboctahedron.7) The snub cube has 24 vertices, 60 edges, & 38 faces (32 triangles & 6 squares). Also known variously as a snub hexahedron, snub octahedron, or snub cuboctahedron. This shape, along with the snub dodecahedron, has 2 chiral forms.Icosahedron-related:8) The truncated icosahedron has 60 vertices, 90 edges, & 32 faces (12 pentagons & 20 hexagons). Also known as a buckyball or a football/soccer ball.9) The truncated dodecahedron has 60 vertices, 90 edges, & 32 faces (20 triangles & 12 decagons).10) The icosidodecahedron has 30 vertices, 60 edges, & 32 faces (20 triangles & 12 pentagons).11) The small rhombicosidodecahedron has 60 vertices, 120 edges, & 62 faces (20 triangles, 30 squares, & 12 pentagons). Also known simply as a rhombicosidodecahedron.12) The great rhombicosidodecahedron has 120 vertices, 180 edges, & 62 faces (30 squares, 20 hexagons, & 12 decagons). Also known as a truncated icosidodecahedron.13) The snub dodecahedron has 60 vertices, 150 edges, & 92 faces (80 triangles & 12 pentagons). Also known as a snub icosahedron or a snub icosidodecahedron. This shape, along with the snub cube, has 2 chiral forms.
Infinitely many. Infinitely many. Infinitely many. Infinitely many.
Infinitely many. Infinitely many. Infinitely many. Infinitely many.