Most of the pentomino Galvagni and Reid figures were found by Erich Friedman of Stetson University and Michael Reid of the University of Central Florida. Corey Plover found the minimal Galvagni figure for the T pentomino.
Here are minimal known Galvagni figures for pentominoes. See also Galvagni Figures & Reid Figures for Hexominoes, Galvagni Figures & Reid Figures for Heptominoes, and Galvagni Figures & Reid Figures for Octominoes.
And here are minimal known Reid figures:
Here is an orthogonally symmetric variant for the W pentomino:
Here are diagonally symmetric variants for the F, L, N, P, and Y pentominoes:
Here is a birotarily symmetric variant for the F pentomino:
For a discussion of restricted-motion polyominoes, see Alexandre Owen Muñiz's A Polyformist's Toolkit.
Last revised 2014-10-09.