# Medial 15-4 double step prism

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Medial 15-4 double step prism | |
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File:Medial 15-4 double step prism.png | |

Rank | 4 |

Type | Isogonal |

Space | Spherical |

Elements | |

Cells | 60 irregular tetrahedra, 30+30+30+30 phyllic disphenoids, 15 rhombic disphenoids |

Faces | 60+60+60+60+60+60 scalene triangles, 30 isosceles triangles |

Edges | 15+30+30+30+30+30+60 |

Vertices | 30 |

Vertex figure | 15-vertex polyhedron with 26 triangles |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Medial 15-4 bigyrochoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | S_{2}(I_{2}(15)-4)×2R, order 60 |

Convex | Yes |

Nature | Tame |

The **medial 15-4 double step prism** is a convex isogonal polychoron that consists of 15 rhombic disphenoids, 120 phyllic disphenoids of four kinds, and 60 irregular tetrahedra. 2 rhombic disphenoids, 16 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. It can be obtained as the convex hull of two orthogonal 15-4 step prisms.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.91303.