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The term "wedge" has a number of different meanings in mathematics. It is sometimes used as another name for the caret symbol. The term also refers to the notation ( ^ ) used ...

Two slant triangular prisms fused together.

"Brick" is an informal term for a cuboid.

A cupola adjoined to a rotunda.

A positive-height (outward-pointing) pyramid used in augmentation. The term was introduced by B. Grünbaum.

Johnson solid J_(20).

Johnson solid J_(40).

Johnson solid J_9.

Johnson solid J_(18).

Johnson solid J_7.