Three.
A triangular dipyramid (two triangular pyramids stuck together),
A quadrilateral based pyramid
A triangle base with two apices (apexes) above the base.
I don't think there are any more.
Three.
A triangular dipyramid (two triangular pyramids stuck together),
A quadrilateral based pyramid
A triangle base with two apices (apexes) above the base.
I don't think there are any more.
Three.
A triangular dipyramid (two triangular pyramids stuck together),
A quadrilateral based pyramid
A triangle base with two apices (apexes) above the base.
I don't think there are any more.
Three.
A triangular dipyramid (two triangular pyramids stuck together),
A quadrilateral based pyramid
A triangle base with two apices (apexes) above the base.
I don't think there are any more.
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Three.
A triangular dipyramid (two triangular pyramids stuck together),
A quadrilateral based pyramid
A triangle base with two apices (apexes) above the base.
I don't think there are any more.
Eight edges and five corners
five
A pentagon has five corners, or vertices. There is no such thing as a "vertical corner."
An octagon has the same number of corners as sides. So, an octagon which has 8 sides has 8 corners.
Because 6 platonic solids would be too many, and 4 wouldn't be enough