How are you feeling?
One idea folds all of origami into maths
- ↔️ Fold across a line. A dot 3 units left of the crease lands 3 units to the right. Left/right, top/bottom, or the diagonal — the crease is always the mirror.
- 📐 Fold an angle in half. Match one edge onto the other and the crease bisects the angle exactly — halfway between 20° and 80° is 50°, no protractor needed.
- 🔷 Count the symmetry. A square lands on itself along 4 folds, a triangle 3, a hexagon 6 — a regular shape has as many symmetry folds as it has sides.
The rooms
- 🔮 Folding console — predict where a fold lands, then mirror a point yourself.
- 🎯 Bring this to that — point onto point, edge onto edge: guess how many folds do it.
- 🕊️ Fold a crane — squash, petal and reverse folds, from the square to the bird.
- 📜 CraneQuest — one bird, three stories: what is on the record, and where sources disagree.
- ⬡ The flexagon — a strip with a hidden face: which one comes next?
- 📄 Seven folds? — how thick does paper get, and how far can you go?
Meet the crew — the folds that make a mirror
Mira is the crease itself — a line of reflection that flips one half of the paper onto the other.
Valley and Mountain are the two ways to fold, but both are the same mirror seen from opposite sides.
Axis (mentor) counts a shape’s symmetry folds and reminds the crew a regular n-gon always has exactly n.
Bisect matches one edge onto another to split an angle exactly in half — geometry a ruler can only approximate.
From our friends at Fold Commons
Same topic Ages 9–14
FoldLens Junior
The K-12 (ages 9–14) sibling of FoldLens: the same AlphaFold Database content in a tier-appropriate voice, NGSS-aligned, COPPA-safe by design. Pick a protein and see its real 3D shape in the browser.
opens foldcommons.org · in English
😄 Brain break
What next? Pick a door
- More like this SextantForge Where are we, by the stars? CalendarForge Why does the holiday move each year? OneCutQuest Can one cut make this whole shape?
- A bit harder MosaicForge Where will this tile score the most? IdentityForge Why does (a+b)² equal that? SlateForge Which line of Scrawl’s working doesn’t follow?
- Something different RoboForge Which code gets the robot home? PixelForge Which colours work together? ZettelForge Which ideas belong together?