Greg Frederickson’s Book Improvements

The following lists of improvements to Greg Frederickson’s books are in book order. The lists are not complete.

Dissections : Plane & Fancy (1997)

Figure DissectionDescriptionOld
#pieces		New
#pieces
5.19 {6}–2×{6} Hexagon to two Hexagons 9 8
6.10 {3}–7×{3} Triangle to seven Triangles 1211
6.16 {6}–5×{6} Hexagon to five Hexagons 1613
10.13 {4}–{12/3} Square to Dodecagram 9 8
11.45 {4}–{12/2} Square to Dodecagram 8 8
13.6 {6}–{6/2} Hexagon to Hexagram 6 6
15.7 {4}–{C} Square to Crescent 8 7
18.7 {7}–{7/3} Heptagon to Heptagram 1413
20.14 {TO}–{C} Truncated Octahedron to Cube 1311
20.15 {RD}–{C} Rhombic Dodecahedron to Cube 1311
20.16 {C}–2×{T}+{O} Cube to two Tetrahedra and Octahedron 1615
20 p245 {TO}–{RD} Truncated Octahedron to Rhombic Dodecahedron 2824

Hinged Dissections : Swinging & Twisting (2002)

Figure DissectionDescriptionOld
#pieces		New
#pieces
6.11 {3}–7×{3} Triangle to seven Triangles 1211
14.8 {4}–{Gc} Square to Curved Greek Cross 8 7
20.14 {TO}–{C} Truncated Octahedron to Cube 1311

Piano Hinged Dissections (2006)

Figure DissectionDescriptionOld
#pieces		New
#pieces
M3.3 {6}–2×{6} Hexagon to two Hexagons 9 8
M4.1 {4}–{14} Square to Tetradecagon 10 9
M4.1 {4}–{16} Square to Hexadecagon 1110
M4.1 {4}–{18} Square to Octadecagon 1210
M4.1 {4}–{19} Square to Enneadecagon 1613
M4.1 {4}–{20} Square to Icosagon 1411
M4.1 {4}–{21} Square to Icosihenagon 1514
M4.1 {4}–{24} Square to Icositetragon 1412
M5.4 {4}–{16} Square to Concave Hexadecagon 1110

Ernest Irving Freese’s Geometric Transformations (2018)

Figure DissectionDescriptionOld
#pieces		New
#pieces
Plate 16 {3}–7×{3} Triangle to seven Triangles 1211
Plate 16 {3}–13×{3} Triangle to thirteen Triangles 2019
I70a {6}–6×{6} Hexagon to six Hexagons 1816
I84a,
I84c 		{6}–12×{3} Hexagon to twelve Triangles 2421
I110a {10}–{4}+{4}+{4}+{4} Decagon to four Squares, area-ratio 1:2:3:4 1716
I136a {4}–{16} Square to Hexadecagon 1110
I138b {4}–{20} Square to Icosagon 1311
I140b {4}–{24} Square to Icositetragon 1312

Square — Crescent (7 pieces with 2 turned over)

Square — Concave Hexadecagon (10 pieces)
Square - 4 x Square Square - 4 x Square

Decagon — 4 × Square, area-ratio 1:2:3:4 (16 pieces)