The reason I say "ish" is because while the model does not require any cutting, it does need to be glued together. Of course, I had to tell you that for you to notice, so if nobody asks, they will never know! You can create a monoplane, biplane, or triplane by omitting or adding wing sections. You need at least 2 pieces of paper for a monoplane, and two additional pieces of paper for each additional set of wings.
Step 1: The Body, 1-8
1. Fold in half twice.
2. Fold the corners to the center.
3. Fold the edges to the center.
4. Fold the tip up.
5. Fold into thirds.
6. Fold angle bisectors.
7. Turn over and fold the edges to the center.
8. Look closely for these creases.
Step 2: 9-16
9. Note the reference points for these creases.
10. Repeat on the other side.
11. Note the reference points for this crease.
12. Turn over.
13. Rabbit-ear fold.
14. Fold the edge to the center, notice the squash fold at the top.
15. Repeat on the other side.
16. Unfold the flaps on their hinges.
Step 3: 17-23
17. Fold the tip down.
18. Sink fold.
19. Reverse fold.
20. Fold into the model.
21. Turn over.
22. Fold for a water-bomb base.
23. Collapse into a water-bomb base.
Step 4: 24-31
24. Turn over.
25. Unfold the flaps as shown.
26. Fold the whole thing up as shown.
27. Fold the corner to the reference point.
28. Tuck inside.
29. Mirror on the other side.
30. Fold the corner back out to make a tail skid.
31. Fold in half.
Step 5: 32-36
32. Fold the edge up to the crease.
33. Fold the triangle.
34. Using the triangle as a reference point, valley fold this section.
35. Using the crease made in the previous step, squash fold.
36. Squash fold as shown.
Step 6: 37-40
37. Fold the flap up and squash fold.
38. Fold back down.
39. Repeat the squash fold on the other side.
40. Rabbit-ear fold the flap using existing creases.
Step 7: 41-Finish
41. Spread out the layers of the flap as shown to form a propeller.
42. Add dimension to the body.
You are finished with the body.
Step 8: Top Wings: 1-8
The top wings require 2 pieces of paper.
1. Fold the pattern shown into the paper.
2. Repeat on the other piece.
3. Overlap the two triangle flaps, with the unfolded segments facing outward as shown.
4. Fold the edge to the crease, connecting the two papers.
5. Fold again, locking the two papers.
6. Fold the flap over, locking the model even further.
7. Fold the corners to the center on existing creases.
8. Fold the edges to the center.
Step 9: 9-15
9. Fold the corners inward.
10. Fold as shown.
11. Fold the edges to the center.
12. Fold the edges to the center.
13. Lift the bottom half of the flaps.
14. Fold the bottom half of the flaps up, creating squash folds.
15. Fold the top half of the new flaps down, creating more squash folds.
Step 10: 16-23
16. You should have this.
17. Fold the bottom edge up, incorporating squash folds.
19. Slide the flaps into the slot as shown.
20. Keep going.
22. You should have this.
23. fold the top third of the flaps into the model.
Step 11: 24-Finish
24. Fold the back down into the model.
25. Fold the flaps outward.
26. Open up the edges to make tabs.
27. You are now finished with the upper wings. It will probably want to open itself up due to the thickness of the paper, so use binder clips and glue to flatten it.
Step 12: Lower Wings: 1-8
1. Fold the edges to the center.
2. Turn over.
3. Fold the bottom triangle up.
4. Rabbit-ear fold the flap.
5. Mountain fold the top of the model behind as shown.
6. Turn over.
7. Fold the flap up. Notice that the right edge aligns with the left edge of the flap.
8. Fold the flap back down.
Step 13: 9-14
9. Unfold the last steps.
10. Repeat on the other side.
11. Unfold the whole flap back up.
12. Unfold the two flaps.
13. Fold the top flap down. Note the reference points.
14. Squash fold the model as shown.
Step 14: 15-22
15. Rabbit-ear fold the model.
17. Squash fold the center flap.
18. Fold the edges to the center.
19. Squash fold using existing creases.
20. Sink fold the flap.
21. Fold the two flaps down.
22. Fold the flaps outward on their hinges.
Step 15: 23-Finish
23. Reverse fold the flaps inside.
24. Fold up the flaps to make landing gear.
25. Reverse fold the tips to make wheels.
26. Open up the tips as shown.
27. Fold the tip back to round the wheel.
You are finished with the lower wings.
Step 16: Assembly
Assembly is fairly straightforward. Use liquid glue and hold it together with binder clips. Enjoy your origami plane!