A 4 dimensional object is called a Tesseract or "hybercube"
Although if you want to get into string-theory and related advanced subject matters, the Tesseract is not a 4 dimensional object at all, but simply an advanced 3 dimensional object which only represents the 4th dimension; a visual aide if you will.
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A polygon is a 2-dimensional shape whereas a hexahedron is 3-dimensional. Therefore a polygon that is a hexahedron could by called a geometric impossibility.
The name of an eleven sided geometric shape is a Hendecagon or endecagon.
Its the name for a shape
A heptagon.
A solid shape.