Fold a perfect snowflake
You will fold paper into repeated sectors and reveal a snowflake-like outline. A small tear can repeat around the centre, but the result depends on how the folds overlap.
- Maths
- Explorer
- About 20 minutes
Help needed: yes for setup, checking and any preparation of paper or small items
What you need
- One square of paper
- A pencil
- A helper to help fold and hand-tear
The rule
Fold first. Then snip.
How to do it
- Ask someone to fold the square in half.
- Fold the two ends across each other into three matching wedge layers.
- Mark a small notch along one folded side.
- Ask the helper to hand-tear that notch without cutting tools.
- Unfold the paper slowly on a flat surface.
- Count how many copies of the notch appear.
Why it works
Folding places different parts of a sheet over one another. Removing a small notch from the stack changes several regions at once. When you unfold it, those regions appear in a repeated arrangement. Six sectors require the right folding pattern; simply making any three folds does not guarantee six copies. Real snow crystals have a six-related structure because of how water molecules arrange, while this paper design is a model of repetition and reflection rather than real ice growth.
Make it harder
- Make a second small notch before opening.
- Compare a notch on the other folded side.
- Draw the predicted repeated pattern before unfolding.
Ask Taz
- Why does one notch appear more than once?
- Why do different folds make different repeats?
- Why is paper symmetry only a model of a snow crystal?
Before you start
The source rule is kept below; this version substitutes hand tears for cutting tools to follow the home-safety brief. A helper handles the stubborn layered paper. Keep notches small and accept an uneven result. Ask at dinner: “Which fold decided where the repeated notch appeared?”
Taz is an AI and can be wrong, so check what matters. Read how safety works on Taz.
Show us yours
Film your hands and what you made, not your face or name. If you are under 18, ask a parent or guardian before posting anywhere else.
Common questions
How much preparation does this need?
Use the household items above and begin with one small example. A helper can prepare the space or checking sheet while you choose the prediction. The time is an estimate and includes a little room to repeat.
What if we get different answers?
Compare the rule, the method and what each person recorded. A difference can reveal a changed assumption or an ordinary variation, so check before deciding someone must be wrong.
Do I have to share online?
No. Discuss the work at home first. Public sharing is optional and follows the privacy wording above.
More to try
See all Taz Challenges, or look through the science labs. One place for every why. Start exploring at aitaz.com