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One concept per page

origami, one concept per page

Twenty-four lessons on what origami is and where it began, the valley fold and the mountain fold, reading the Yoshizawa-Randlett diagram signs, choosing kami and other papers, cutting a true square and finding the grain, the square base and the waterbomb base, the bird base, the petal fold, the sink fold, inside and outside reverse folds, the squash fold, sharp creases and the bone folder, the paper crane and senbazuru, the flapping bird and action folds, the 1498 paper boat, the fortune teller, the seven fold axioms, Maekawa and Kawasaki flat fold rules, reading crease patterns, Sonobe units that lock, wet folding, troubleshooting torn tips and uneven flaps, a first crane from square to finished model, and teaching a fold to someone else.


Steve Hodgkiss 6 lessons

One fold, one sign, one honest page. That's a lesson.

origami, one concept per page

Twenty-four lessons on what origami is and where it began, the valley fold and the mountain fold, reading the Yoshizawa-Randlett diagram signs, choosing kami and other papers, cutting a true square and finding the grain, the square base and the waterbomb base, the bird base, the petal fold, the sink fold, inside and outside reverse folds, the squash fold, sharp creases and the bone folder, the paper crane and senbazuru, the flapping bird and action folds, the 1498 paper boat, the fortune teller, the seven fold axioms, Maekawa and Kawasaki flat fold rules, reading crease patterns, Sonobe units that lock, wet folding, troubleshooting torn tips and uneven flaps, a first crane from square to finished model, and teaching a fold to someone else.


Set in Space Grotesk, Inter and JetBrains Mono (SIL Open Font License).

Every fact in this book is as the primary source states it, fetched and read during this build: the Wikipedia articles Origami, History of origami, Origami paper, Orizuru, Mathematics of paper folding, Yoshizawa-Randlett system, Sonobe, Wet-folding, Action origami, Modular origami, Crease pattern, Kawasaki's theorem, Huzita-Hatori axioms, Paper, Paper fortune teller, Thousand origami cranes and Akira Yoshizawa, plus the Peoria Riverfront Museum educator guide Folding Paper: The Infinite Possibilities of Origami and the University of Washington Math Circle paper folding worksheet, all cached at build time and cited in each lesson's source line. General information about how origami works, not advice. An honest no-demo book: no paper was folded and no photograph was staged by this machine; every fold claim is stated as its source states it. Rituals stated as this book's own plan (the lesson order, the practice asks, the first-crane checklist, the troubleshooting pairs) are labeled as this book's plan. No product recommendations. Not affiliated with or endorsed by Wikipedia, the Peoria Riverfront Museum or the University of Washington. No facts from Reddit, forums, vendor blogs or search engines.

Your purchase is for personal use only. You do not have redistribution rights: please do not share, resell, or republish this book or its pages.

© 2026 Steve Hodgkiss. All rights reserved. Personal use only; no redistribution rights.

Edition 1.0 · stevehodgkiss.net

Contents

Contents


Part 1 · The first folds
Valley and mountain4
Part 2 · Square and bases
The bird base5
Part 3 · The working folds
Reverse folds6
Part 4 · The classic models
The paper crane7
Part 5 · Folds as mathematics
Crease patterns8
Part 6 · The folder's table
Square to crane9

Per the Wikipedia article Yoshizawa-Randlett system, the two main types of origami symbol are lines and arrows; a dashed line shows a valley fold, where the paper is folded in front of itself; a dashed and dotted line shows a mountain fold, where the paper is folded behind itself, normally done by turning the paper over, folding a valley fold and then turning the paper back over again; a thick line shows the edge of the paper; a thin line shows where a previous fold has creased the paper; a dotted line shows a previous fold hidden behind other paper or a fold not yet made.

origami · No. 01
The first folds

Valley and mountain

The dash and the dot dash

the two creasesvalley: dash, folded in frontmountain: dash and dot, behindthe same crease seen from the other face of the paper

Every crease is one of two kinds. A dashed line is a valley fold: the paper is folded in front of itself, toward you, like a book page.

A dash and dot line is a mountain fold: the paper is folded behind itself, away from you. The trick the sources give: turn the paper over, fold a valley, turn it back.

Valley and mountain are the same crease seen from opposite faces. Fold one of each into the same square and flip it: each becomes the other.

FOLD THIS WEEK

Fold one valley and one mountain into one square this week; flip it and watch each become the other.

Per the Wikipedia article Yoshizawa-Randlett system, a base is any folded paper that immediately precedes final folding and shaping of the model to be; the kite base is merely two valley folds that bring two adjacent edges of the square together onto the diagonal; the bird base, or crane base, consists of a preliminary fold with both the front and the back sides petal folded upward; the frog base starts from a waterbomb base or preliminary fold with all four flaps squash folded and the corners then petal folded upward.

origami · No. 02
Square and bases

The bird base

Preliminary, then petal twice

the base ladderkite: two valleyspreliminarypetal x2bird basethe bird base is the crane base: preliminary fold, petal folded front and back

A base is the folded shape immediately before the final folding and shaping. Models are built from it, not from the raw square.

The ladder climbs: the kite base is two valley folds onto the diagonal; the preliminary fold is next; and the bird base is a preliminary fold with the front and the back petal folded upward.

The bird base is also called the crane base: the crane waits inside it. Beyond it, the frog base squash folds all four flaps and petal folds again.

FOLD THIS WEEK

Fold one bird base this week and stop there; hold it and name its four points.

Per the Wikipedia article Yoshizawa-Randlett system, the pleat folds and reverse folds are often done with the two creases at an angle, and reverse folds of a corner are typically used to produce feet or birds heads; the symbol set of the system includes both the inside reverse fold and the outside reverse fold as named operations; and per the Wikipedia article Origami paper, thin paper matters where many folds stack in one small area, as with a bird's legs, feet and beak.

origami · No. 03
The working folds

Reverse folds

Two angled creases, then choose

reverse foldspre-crease two angled linesinside: between the layersoutside: over themthe angled pre-creases first; corner reverse folds make feet or bird heads

Reverse folds make the small turns of a model: feet or bird heads typically come from a reversed corner.

The mechanism is the pre-crease: reverse folds are done with the two creases at an angle, both sharpened before anything reverses. Then you choose: inside, the flap slips between the layers; outside, it wraps around them.

These are named operations in the standard symbol set. And they stack paper: a bird's legs, feet and beak fold over the same small area, which is why thin paper wins.

FOLD THIS WEEK

Pre-crease a corner's two angled creases this week before you reverse anything.

Per the Wikipedia article Orizuru, the origami crane is considered the most classic of all Japanese origami; a thousand cranes strung together is called senbazuru, and it is said that someone who folds a thousand cranes is granted one wish; per the Wikipedia article Thousand origami cranes, Sadako Sasaki, two years old when exposed to radiation from the atomic bombing of Hiroshima, developed leukemia; in the book version of her story she folded only 644 cranes before becoming too weak, and died on 25 October 1955, her classmates folding the remaining 356; and per the Wikipedia article Yoshizawa-Randlett system, the crane base is another name for the bird base.

origami · No. 04
The classic models

The paper crane

From bird base to senbazuru

tsuru, the cranethe crane base is insidesenbazuru:a thousand cranes,one wish644 + 356the most classic of all Japanese origami, folded from the bird base

The crane, tsuru, is the most classic of all Japanese origami. Its foundation is the crane base: the bird base, preliminary fold with petal folds front and back.

String a thousand and you have senbazuru: whoever folds a thousand cranes is granted one wish, so it is said.

Sadako Sasaki, two years old at the Hiroshima bombing, folded 644 cranes before she died on 25 October 1955; her classmates folded the remaining 356.

FOLD THIS WEEK

Fold one crane this week from a bird base, any paper, any size; keep the first one.

Per the Wikipedia article Crease pattern, a crease pattern is an origami diagram consisting of all or most of the creases in the final model, rendered into one image, useful for complex models whose steps are too many to draw; their use originated with designers such as Neal Elias to record models, and later Lang, Meguro, Maekawa and Engel designed with them directly; a crease pattern is not fully specified by crease locations alone, because mountain-valley assignment and the stacking order of the folded layers are also required; a pattern is flat-foldable if it can be folded flat without adding new creases; and there is a sequenced crease pattern showing creases up to each fold.

origami · No. 05
Folds as mathematics

Crease patterns

All the creases in one drawing

a crease patternthe crane sheet, unfoldedwhat the drawing does not saywhich creases are mountain or valleythe stacking order of the layersflat-foldable: no new creases addedsince Neal Eliasall or most of the creases of the finished model in one image

A crease pattern is all or most of the creases of the finished model in one image: the whole model, no steps.

Designers began using them to record models, Neal Elias among the first; later folders designed straight onto them. Unfold your crane and flatten the sheet: you hold its crease pattern.

Reading one is two decisions the drawing does not make: the mountain valley assignment and the stacking order of the layers; flat-foldable means folding flat without adding new creases.

FOLD THIS WEEK

Unfold your crane fully this week and flatten the sheet: that is its crease pattern.

This book's plan for a first crane end to end, resting on mechanics from the sources: per the Wikipedia article Origami, copy paper of 70 to 90 grams per square meter suits the crane and a flat surface with a bone folder makes sharp creases easy; per the Wikipedia article Yoshizawa-Randlett system, the crane base is the bird base, a preliminary fold with front and back petal folded, each petal lift flattening on pre-creased radial folds, and reverse folds of a corner typically shape feet or birds heads; per the Wikipedia article Orizuru, the crane is the most classic of all Japanese origami; no crane was folded or photographed by this machine, so this order is this book's plan, not a demonstrated run.

origami · No. 06
The folder's table

Square to crane

This book's plan, end to end

square to crane, the run1true square2four pre-creases3square base4bird base5the cranechecklist: one honest run, creases sharp, no crane folded by this machinethis book's plan resting on the sources: 70 to 90 grams per square meter, a flat surface, a bone folder

The run, this book's plan: cut a true square; pre-crease the four lines and collapse to the square base; petal fold front and back for the bird base, which is the crane base; then the corner reverse folds that typically shape bird heads.

Paper: 70 to 90 grams per square meter copy paper serves. Sharpen every crease on a flat surface.

No crane was folded by this machine; the order rests on the sources. The crane is the most classic of all Japanese origami: worth one honest run.

FOLD THIS WEEK

Fold one crane end to end this week and keep it, creases sharp, first try or fifth.

Index

Index


Crease patterns8
Reverse folds6
Square to crane9
The bird base5
The paper crane7
Valley and mountain4