Design and Beyond

Origami and Paper Folding

Course 1 · Chapter 10 · Design and Going Further: Making Your Own Models

Nine chapters have taught you to fold other people's models and to read the rules behind them. Origami and Paper Folding 9 showed which crease patterns can fold flat. This last chapter turns that knowledge around: how to design a model of your own, how professional designers plan one, who to learn from, how to choose and present paper, and where to go next.

Designing Your First Simple Model

You do not need a mathematical method to start. Most first designs come from playing with a base. Work through this loop:

Pick a subject with few distinct parts: a fish, a bird, a simple flower or a boat. Count its parts, such as head, tail, two wings, and so on.
Choose a base from Origami and Paper Folding 3 whose points match that count. A bird base has four points, a fish base has four, a kite base has one long point.
Shape each point with the techniques of Origami and Paper Folding 4: a reverse fold for a head or beak, a squash or petal fold for a broad wing.
Test, then record. Fold it again on fresh paper, writing down each step with the symbols from Origami and Paper Folding 2.
Simplify. Remove any fold that does not change the final shape. Good designs are usually shorter than first drafts.

Keep a design notebook Sketch each failed attempt and note why it failed. A flap too short, a layer too thick or a point in the wrong place all teach you which fold to try next time. Most designers learn more from their discarded models than from the finished ones.

Tree Theory in Brief

Professional designers plan models with tree theory. The idea is to draw the subject as a stick-figure tree: each limb, wing, antenna or tail is a branch ending in a leaf, and each branch has a length. The designer then asks how to fit one flap of that length for every leaf into a single square.

Tree term	On the subject	On the paper
Leaf	The tip of a limb, such as a foot or an ear	A flap, ending in a point of the folded model
Branch length	How long that limb is	The length of the flap (the paper it uses)
Circle	The reach of one flap	A circle around the flap's tip on the unfolded sheet
Packing	Fitting all limbs together	Circles placed in the square without overlapping

The core rule is that two leaves joined by a path of length d on the tree must be at least d apart on the paper. Place one circle per flap so that no two circles overlap, and the gaps between them become the creases. Robert Lang's computer program TreeMaker automates exactly this, and it is how many very complex insects and animals are designed.

A Tiny Packing Check

This script tests whether two flaps are far enough apart, given their positions on a unit square and the tree distance between them:

import math

def far_enough(p, q, tree_distance):
    paper_distance = math.hypot(p[0] - q[0], p[1] - q[1])
    return paper_distance >= tree_distance

# Two flaps, tree distance 0.5 apart
print(far_enough((0, 0), (1, 0), 0.5))
print(far_enough((0.2, 0.2), (0.4, 0.3), 0.5))

Output when run:

True
False

The first pair is 1.0 apart, which is more than 0.5, so they fit. The second pair is only about 0.22 apart, so those two flaps would overlap and the layout needs to change.

Famous Folders and Communities

Studying other people's work is the fastest way to grow as a designer. A few names worth knowing:

Akira Yoshizawa (1911-2005) created the modern symbol system you learned in Origami and Paper Folding 2 and made origami an art form, with expressive wet-folded animals.
Robert Lang is a physicist and designer who developed the mathematics of tree theory and wrote widely on both art and engineering uses of folding.
Eric Joisel was known for lifelike masks and figures folded from a single uncut sheet.
Tomoko Fuse is a leading figure in modular origami, building on the ideas of Origami and Paper Folding 7.
Koryo Miura invented the Miura-ori pattern from Origami and Paper Folding 9.

You do not have to learn alone. Most countries have an origami society that holds meetings, conventions and an annual exchange of models, and online communities share diagrams and crease patterns for every level. Folding with other people is also the quickest way to find out what you are doing wrong.

Paper Choices, Display and Gifting

Paper	Good for	Notes
Standard origami paper	Practice, most traditional models	Thin, coloured on one side, cheap
Foil-backed paper	Cranes, modulars, shapes that must hold a crease	Foil gives a crisp, sculptural fold
Washi	Gifts, decorative pieces	Patterned Japanese paper, stronger fibres
Wet-folding paper	Animals and curved shapes (see Origami and Paper Folding 6)	Thicker, holds shape after drying
Large sheets	Display pieces, first tries at complex models	Easier to handle small details

Display: Keep models out of direct sun, which fades colour and weakens paper. A shadow box, a clear lidded jar or a thread hung from a branch all work well.
Gifting: A crane, a flower or a small box makes a thoughtful present. A thousand cranes strung together is a traditional gift of good wishes.
Storing: Keep finished models in a rigid box with tissue, and keep unused paper flat and dry.

Credit the designer When you share or sell a model you did not design, say who did. When you publish diagrams of your own, expect others to fold them, and say how you want them credited. This is a basic courtesy in the origami community.

Challenges

Each challenge has a worked solution you can open after you have tried it.

Challenge 1

Design a simple model of your own choosing, such as a fish, bird or flower, starting from one of the classic bases. Fold it three times, refining it each time, and write out the final step list.

→ Solution

Challenge 2

Draw a tree for a simple insect: one body, two antennae and six legs. List the flaps you need, then decide which classic base has enough points and which flaps must be split further.

→ Solution

Challenge 3

Fold a model from this course, choose suitable paper, and prepare it as a gift: decide how to display or package it, and write a short card that credits the designer.

→ Solution

Quick Reference

Design loop: pick subject, choose base, shape points, test, record, simplify
Tree theory: one flap per leaf, circles that do not overlap
Keep learning from: Yoshizawa, Lang, Joisel, Fuse, Miura
Paper: standard for practice, foil for crisp folds, washi for gifts, heavy paper to wet-fold
Always: credit the designer of any model you share

Course Complete: Where to Go From Here

You have come a long way from a first valley fold. In ten chapters you have covered:

Origami and Paper Folding 1 to 2: paper, creases, and reading diagrams.
Origami and Paper Folding 3 to 4: the classic bases and the core folding techniques.
Origami and Paper Folding 5 to 7: animals, flowers, boxes and modular models.
Origami and Paper Folding 8 to 9: tessellations, crease patterns and the mathematics of folding.
Origami and Paper Folding 10: designing your own work.

Good next steps, depending on what you enjoyed most:

Repeat the models you liked on better paper. A second fold is always cleaner than the first.
Move up a level by folding a model from a published book or an online diagram set with 30 to 60 steps.
Try a specialism: modular origami, tessellations, wet-folded animals or box making.
Join a group or attend a convention, and trade models with other folders.
Create and share: diagram your own best design and let someone else fold it.

Paper is cheap, patience is the real material, and every fold you make teaches you something. Keep folding.