Banded octahedron Geometric and other shapes | John Montroll | Origami Symphony No. 4: Capturing Vibrant Coral Reef Fish by John Montroll

| 92 | Square | |
Cubehemioctahedron Geometric and other shapes | John Montroll | Origami and Math: Simple to Complex by John Montroll
| 25 | Square |  Folded by Marco Abate |
Cubehemioctahedron Geometric and other shapes | John Montroll | A Plethora of Polyhedra in Origami by John Montroll

| 60 | Square |  Folded by Phillip West |
Cubehemioctahedron Geometric and other shapes | John Montroll | Origami Polyhedra Design by John Montroll
| 100 | Square |  Folded by Phillip West |
Cuboctahedron Geometric and other shapes | John Montroll | Origami Fold by Fold by John Montroll
| 85 | Square | |
Dimpled great rhombicuboctahedron Geometric and other shapes | John Montroll | A Constellation of Origami Polyhedra by John Montroll
| 90 | Square | |
Dimpled octahedron Geometric and other shapes | John Montroll | A Plethora of Polyhedra in Origami by John Montroll

| 67 | Square |  Folded by Phillip West |
Dimpled rhombicuboctahedron Geometric and other shapes | John Montroll | Origami Polyhedra Design by John Montroll
| 104 | Square |  Folded by Jorge E. Jaramillo |
Dimpled truncated octahedron Geometric and other shapes | John Montroll | A Constellation of Origami Polyhedra by John Montroll
| 87 | Square | |
Dimpled truncated octahedron Geometric and other shapes | John Montroll | Origami Polyhedra Design by John Montroll
| 131 | Square |  Folded by Marco Abate |
Duo-colored octahedron Geometric and other shapes | John Montroll | Origami Polyhedra Design by John Montroll
| 121 | Square |  Folded by Marco Abate |
Faceted cuboctahedron Geometric and other shapes | John Montroll | Origami USA Convention 1984 (read full review)
| | Square | |
Magic octahedron Geometric and other shapes | John Montroll | Origami Symphony No. 4: Capturing Vibrant Coral Reef Fish by John Montroll

| 95 | Square | |
Octahedron Geometric and other shapes | John Montroll | A Constellation of Origami Polyhedra by John Montroll
| 33 | Square | |
Octahedron Geometric and other shapes | John Montroll | A Plethora of Polyhedra in Origami by John Montroll

| 16 | Square | |
Octahedron Geometric and other shapes | John Montroll | NOA Kessakusen 3

| 103 | Square | |
Octahedron Geometric and other shapes | John Montroll | Origami Fold by Fold by John Montroll
| 54 | Square | |
Octahedron Geometric and other shapes | John Montroll | Origami Symphony No. 1: The Elephant's Trumpet Call by John Montroll

| 75 | Square | |
Octahedron Geometric and other shapes | John Montroll | Origami Symphony No. 4: Capturing Vibrant Coral Reef Fish by John Montroll

| 75 | Square | |
Octahedron Geometric and other shapes | John Montroll | Origami USA Convention 1992 (read full review)
| 320 | Square | |
Octahedron Geometric and other shapes | John Montroll | Teach Yourself Origami by John Montroll (read full review)

| 90 | Square
Only in 2nd edition | |
Octahedron Geometric and other shapes | John Montroll | Origami Inside-Out by John Montroll (read full review)

| 34 | Square |  Folded by Marco Abate |
Octahedron Geometric and other shapes | John Montroll | Origami Polyhedra Design by John Montroll
| 115 | Square |  Folded by Marco Abate |
Octahedron Geometric and other shapes | John Montroll | NOA Magazine 104 | 23 | Square |  Folded by Christian Weinert |
Octahedron Geometric and other shapes | John Montroll | Origami Sculptures by John Montroll (read full review)

| 20 | Square |  Folded by Christian Weinert |
Octahemioctahedron Geometric and other shapes | John Montroll | A Plethora of Polyhedra in Origami by John Montroll

| 57 | Square |  Folded by Phillip West |
Octahemioctahedron Geometric and other shapes | John Montroll | Origami Polyhedra Design by John Montroll
| 127 | Square |  Folded by Phillip West |
Spinning octahedron Geometric and other shapes | John Montroll | Origami Symphony No. 4: Capturing Vibrant Coral Reef Fish by John Montroll

| 98 | Square | |
Stellated octahedron Geometric and other shapes | John Montroll | A Constellation of Origami Polyhedra by John Montroll
| 104 | Square | |
Stellated octahedron Geometric and other shapes | John Montroll | Galaxy of Origami Stars by John Montroll
| 109 | Square |  Folded by Jorge E. Jaramillo |
Stellated octahedron Geometric and other shapes | John Montroll | Origami Polyhedra Design by John Montroll
| 98 | Square |  Folded by Jorge E. Jaramillo |
Striped octahedron Geometric and other shapes | John Montroll | Origami Polyhedra Design by John Montroll
| 118 | Square |  Folded by Marco Abate |
Sunken cuboctahedron Geometric and other shapes | John Montroll | A Constellation of Origami Polyhedra by John Montroll
| 99 | Square | |
Sunken octahedron Geometric and other shapes | John Montroll | A Plethora of Polyhedra in Origami by John Montroll

| 72 | Square |  Folded by Phillip West |
Sunken octahedron Geometric and other shapes | John Montroll | Origami Polyhedra Design by John Montroll
| 150 | Square |  Folded by Phillip West |