A 2-dimensional shape is a 'DECAGON'.
A 3-dimensional shape is a 'DECAHEDRON'.
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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.
HEPTAGON i know it sounds wierd but that's what its called.
Any shape with 10 sides is called a decagon. A regular decagon is a shape with 10 even sides, so you are looking for an irregular decagon.
Decagon(10 sides polygon).
In Geometry a 15 sided shape is called a pendedecagon polygon with 15 angles and sides