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Which solid has 7 faces?

Published in Geometry Solids 1 min read

A solid with 7 faces is called a heptahedron.

Understanding Heptahedra

A heptahedron is a polyhedron characterized by having seven faces. According to the provided reference, there are 34 topologically distinct convex heptahedra. This means there are 34 different ways to arrange seven faces to form a convex solid shape.

Types of Heptahedra

The reference mentions three semiregular heptahedra:

  • The pentagonal prism.
  • The pentagrammic prism.
  • A faceted version of the octahedron.

Here's a table summarizing the information:

Term Definition Example(s)
Heptahedron A polyhedron with seven faces. Pentagonal prism, pentagrammic prism, faceted octahedron
Convex Heptahedra Heptahedra where all interior angles are less than 180 degrees. Many variations, 34 topologically distinct.

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