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Examples of pentadecahedra
Dual elongated triangular cupola	Elongated pentagonal bipyramid
Tridecagonal prism	Elongated heptagonal pyramid

Apentadecahedron (orpentakaidecahedron) is apolyhedron with 15faces. No pentadecahedron isregular; hence, the name is ambiguous. There are numerous topologically distinct forms of a pentadecahedron, for example thetetradecagonal pyramid, andtridecagonal prism. In the pentadecahedron, none of the shapes are regular polyhedra. In other words, a regular pentadecahedron does not exist, and the pentadecahedron cannot fill space; a space-filling pentadecahedron does not exist.^[1]

In chemistry, some clusters of atoms are in the form of pentadecahedra.^[2] Calculations have shown that there is a unit cell of the pentadecahedron that is stable in the crystal.^[3]

There are 23,833,988,129 topologically distinctconvex pentadecahedra, excluding mirror images, having at least 10 vertices.^[4] (Two polyhedra are "topologically distinct" if they have intrinsically different arrangements of faces and vertices, such that it is impossible to distort one into the other simply by changing the lengths of edges or the angles between edges or faces.)

Name	Type	Image	Symbol	Vertices	Sides	Faces	χ	Face type	Symmetry
Tridecagonal prism	prism		t{2,13} {13}x{}	26	39	15	2	2tridecagons 13rectangles	D13h, [13,2], (*13 2 2)
Tetradecagonal pyramid	pyramid		( )∨{14}	15	28	15	2	1tetradecagon 14triangles	C14v, [14], (*14 14)
Elongated heptagonal pyramid	pyramid			15	28	15	2	7 triangles 7rectangles 1heptagon	D7h, [7,2], (*227), order 28
Heptagonal truncated cone	truncated cone			15	28	15	2	7 triangles 7kites 1heptagon	D7h, [7,2], (*227), order 28
Elongated pentagonal bipyramid	Bipyramid Johnson solid			12	25	15	2	10 triangles 5 squares	D5h, [5,2], (*225)

• What Are Polyhedra?, with Greek Numerical Prefixes

• Self-Dual Pentadecahedra,

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