octagon
A shape with four sides and three vertices does not exist in Euclidean geometry. In Euclidean geometry, a shape must have the same number of sides as vertices. Therefore, a shape with four sides would have four vertices.
An octagon has eight sides and eight vertices. An octagon has 8 sides and 8 vertices.
8 sides 8 vertices
A cube.
An octagon has 8 vertices and 8 sides
A shape with four sides has four vertices and a shape with three sides has three vertices, so a shape with four sides has more vertices than a shape with three sides.
A shape with four sides and three vertices does not exist in Euclidean geometry. In Euclidean geometry, a shape must have the same number of sides as vertices. Therefore, a shape with four sides would have four vertices.
An octagon has eight sides and eight vertices. An octagon has 8 sides and 8 vertices.
Assuming that each vertex is used to connect exactly two sides, all two-dimensional shapes will have the same number of sides as vertices. So a shape with 4 sides will have 4 vertices and a shape with 3 sides will have 3 vertices. Think of a square (4 sides, 4 vertices) and a triangle (3 sides, 3 vertices).
8 sides 8 vertices
A cube.
An octagon has 8 vertices and 8 sides
A shape with 7 sides.
a shape with 7 vertices
Since the number of sides and vertices is different, it cannot be a 2-dimensional shape. The only 3-dimensional shape with 4 vertices is a tetrahedron and that does not have 6 sides. Consequently, there is no such shape.
A hexagon has 6 sides and 6 vertices.
A shape that has more than 4 vertices is called a polygon. Polygons are closed geometric figures with straight sides. Examples of polygons with more than 4 vertices include a pentagon (5 vertices), hexagon (6 vertices), heptagon (7 vertices), octagon (8 vertices), nonagon (9 vertices), decagon (10 vertices), and so on. Each vertex represents a point where two sides of the shape meet.