Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Witch's Hat

Thanks to Cubes, Aisling and Brandon for their ideas on how to make a wizard's hat or a witch's hat. Cubes suggested cutting out two triangles and sticking them together. Aisling and Brandon both suggested rolling a piece of paper into a cone.

Either of these methods would work to make a pointy hat.

But there is a better way to make a conical hat.

Alice worked through this problem and found a very surprising answer. She sent in some work which you can find here.

She only found the tallest wizard's hat, can you do something similar to find the witch's hat, fez or top hat?## You may also like

### Paper Folding - Models of the Platonic Solids

### Plaiting and Braiding

### Celtic Knotwork Patterns

Or search by topic

Age 11 to 16

Challenge Level

- Problem
- Getting Started
- Student Solutions
- Teachers' Resources

Thanks to Cubes, Aisling and Brandon for their ideas on how to make a wizard's hat or a witch's hat. Cubes suggested cutting out two triangles and sticking them together. Aisling and Brandon both suggested rolling a piece of paper into a cone.

Either of these methods would work to make a pointy hat.

But there is a better way to make a conical hat.

Alice worked through this problem and found a very surprising answer. She sent in some work which you can find here.

She only found the tallest wizard's hat, can you do something similar to find the witch's hat, fez or top hat?

A description of how to make the five Platonic solids out of paper.

This article for students gives some instructions about how to make some different braids.

This article for pupils gives an introduction to Celtic knotwork patterns and a feel for how you can draw them.