<P> The regular 5 - cell (or 4 - simplex) is an example of a tetrahedral pyramid . Uniform polyhedra with circumradii less than 1 can be make polyhedral pyramids with regular tetrahedral sides . A polyhedron with v vertices, e edges, and f faces can be the base on a polyhedral pyramid with v + 1 vertices, e + v edges, f + e faces, and 1 + f cells . </P> <P> A 4D polyhedral pyramid with axial symmetry can be visualized in 3D with a Schlegel diagram--a 3D projection that places the apex at the center of the base polyhedron . </P> <Table> Equilateral uniform polyhedron - based pyramids (Schlegel diagram) <Tr> <Th> Symmetry </Th> <Th> (1, 1, 4) </Th> <Th> (1, 2, 3) </Th> <Th> (1, 3, 3) </Th> <Th_colspan="2"> (1, 4, 3) </Th> <Th> (1, 5, 3) </Th> </Tr> <Tr> <Th> Name </Th> <Th> Square - pyramidal pyramid </Th> <Th> Triangular prism pyramid </Th> <Th> Tetrahedral pyramid </Th> <Th> Cubic pyramid </Th> <Th> Octahedral pyramid </Th> <Th> Icosahedral pyramid </Th> </Tr> <Tr> <Th> Segmentochora index </Th> <Th> K4. 4 </Th> <Th> K4. 7 </Th> <Th> K4. 1 </Th> <Th> K4. 26.1 </Th> <Th> K4. 3 </Th> <Th> K4. 84 </Th> </Tr> <Tr> <Th> Height </Th> <Td> 0.707107 </Td> <Td> 0.790569 </Td> <Td> 0.790569 </Td> <Td> 0.500000 </Td> <Td> 0.707107 </Td> <Td> 0.309017 </Td> </Tr> <Tr> <Th> Image (Base) </Th> <Td> </Td> <Td> </Td> <Td> </Td> <Td> </Td> <Td> </Td> <Td> </Td> </Tr> <Tr> <Th> Base </Th> <Td> Square pyramid </Td> <Td> Triangular prism </Td> <Td> Tetrahedron </Td> <Td> Cube </Td> <Td> Octahedron </Td> <Td> Icosahedron </Td> </Tr> </Table> <Tr> <Th> Symmetry </Th> <Th> (1, 1, 4) </Th> <Th> (1, 2, 3) </Th> <Th> (1, 3, 3) </Th> <Th_colspan="2"> (1, 4, 3) </Th> <Th> (1, 5, 3) </Th> </Tr>

How much lines of symmetry does a triangle have
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