Sixth Platonic solid

Question

A Sixth Platonic solid?

[1] Wouldn't gluing a tetrahedron's one triangle to a another tetrahedron's triangle make a platonic solid ? See the picture to see clearly what I mean. Tetrahedron stacked one on each makes an another solid with $6$ faces, $5$ vertices and $9$ edges.

Answer 1

No: two of the vertices would have three edges while three vertices would have four edges

You are describing a triangular bipyramid

Answer 2

No. By definition a Platonic solid has the same number of faces meeting at each vertex. Your solid has three faces meeting at each of two vertices and four faces meeting at each of the other three vertices.