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Tin Tight

What's the most efficient proportion for a 1 litre tin of paint?

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Paint Rollers for Frieze Patterns.

Proofs that there are only seven frieze patterns involve complicated group theory. The symmetries of a cylinder provide an easier approach.

Tubular Stand

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Two pieces of dowel placed end-to-end and rotated should reveal a "neat" fit. Some cardboard wrapping paper tubes or toilet paper holders can be very useful in illustrating this point.