An endpoint where two edges intersect on a polyhedron is called a vertex.
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intersecting lines
A ray.
In general, any 10-sided polyhedron is called a decahedron. With 10 regular triangles for faces, you may have a pentagonal bipyramid.
Square Based PyramidTetrahedron: A tetrahedron is a polyhedron made of 4 triangles. A "regular tetrahedron" is a tetrahedron where the triangles are equilateral. (A polyhedron is any 3 dimentional figure made of flat surfaces and straight lines.)
I would call it a 25-hedron because I want to communicate rather than obfuscate.If I wanted to obfuscate or be pretentious I would call it an icosipentahedron.