The Euler characteristic requires that Vertices + Faces = Edges + 2 Here that would require 6 + 7 = 15 + 2 or 13 = 17 which is clearly not true. So there cannot be a polyhedron with the stated configuration.
A heptahedron has 7 faces. It can have 6 vertices and 11 edges, or7 vertices and 12 edges, or8 vertices and 13 edges, or9 vertices and 14 edges, or10 vertices and 15 edges.
There is no regular solid with 13 faces.
13
100,000,000,000 sides and 800.000.000.000 edges. Im just kidding. Think " A hexagon has 6 edges. and you want to know how many sides are there in 13 hexagons. So you do 6 times 13 witch is 78. There are 78 sides on 13 hexagons
The Euler characteristic requires that Vertices + Faces = Edges + 2 Here that would require 6 + 7 = 15 + 2 or 13 = 17 which is clearly not true. So there cannot be a polyhedron with the stated configuration.
A heptahedron has 7 faces. It can have 6 vertices and 11 edges, or7 vertices and 12 edges, or8 vertices and 13 edges, or9 vertices and 14 edges, or10 vertices and 15 edges.
13 vertices. A pyramid always has the same number of faces and vertices.
The numbers in the question are not consistent with the Euler characteristic and therefore there is no simply connected polyhedron that meets these requirements.
None. Euler's characteristic requires that V - E + F = 2 where V = number of vertices, E = number of edges and F = number of faces. That equation is not satisfied by the numbers given in the question.
A square-based pyramid and a trapezoidal prism.
Gyroelongated square pyramid, It contains 13 faces, 9 vertices and 20 edges. Please, go to the link provided below the answer, to its figure.
A polyhedron with 13 or more faces.
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.
A tridecagon is a 13-sided figure.
13
A pyramid cannot have 13 edges: it must have an even number of edges.