Midpoint augmentation, a term introduced here, is a variant of conventional augmentation in which each facial polygon is replaced by a triangular polygon joining vertices with the neighboring edge midpoints, and then constructing a pyramid with the base determined by the face's midpoints. Midpoint augmentation allows compounds of Archimedean solids and Archimedean duals to be easily constructed.

# Midpoint Augmentation

## See also

Archimedean Dual, Archimedean Solid, Augmentation## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Midpoint Augmentation."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/MidpointAugmentation.html