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Cut Paper & Watercolor Animal Art

Cut Paper & Watercolor Animal Art

Most people are a lot larger than a piece of paper. But in this activity, you’ll be able to squeeze through a hole in a sheet of paper. With practice, you might even be able to fit through a hole in a business card!

If you are still having trouble, print out our PDF template or our Word template and simply cut along all the black lines.

If you look at the cuts you’ve made in the paper, it looks like a maze. But you’ve actually turned the sheet of paper into a really long loop that should be long enough to go all the way around you.

Making A Layered Papercut

The area of the sheet of paper remains the same throughout the activity – you haven’t changed the size of the piece of paper because none of the cuts went all the way across the paper. But cutting the paper made the perimeter (edge) longer. If there are enough cuts, the perimeter is large enough to go all the way around you (in fact there are two edges on the strip of paper, so it goes around you twice).

For any given area, there is a minimum size for the perimeter (edge), but no maximum. The shape with the smallest perimeter is always a circle. Any other shape with the same area as a circle has a longer perimeter. But there’s no shape with the longest perimeter. No matter what sized shape you choose, there’s always a way to make another shape with the same area but a longer perimeter.

For example, a 10x10cm square has a perimeter of 40 cm, and an area of 100 square centimetres. A rectangle that’s 1cm wide and 100cm long has exactly the same area, but has a perimeter of over 2 metres! And it’s also the same area as a 1 mm wide strip that’s 10metres long.

Layered Cut Paper Sculptures Inspired By Nature

A similar idea applies to the volume and surface area of solid shapes. A sphere has the smallest surface area for any volume, but you can make the surface area as big as you want. This can be very useful, especially for moving heat around.

Heat is lost through the surface of an object, so to cool something down it should have a large surface area. Radiators in cars have many twists and turns to increase their surface area, so that they can get rid of heat coming from the engine of a car. Heat sinks in computers and the pipes on the back of a fridge work in much the same way. Oil-filled electric heaters also have large surface areas to radiate heat, although in this case the large surface area is designed to heat up the room, rather than cool down the heater.

The area of the sheet of paper remains the same throughout the activity – you haven’t changed the size of the piece of paper because none of the cuts went all the way across the paper. But cutting the paper made the perimeter (edge) longer. If there are enough cuts, the perimeter is large enough to go all the way around you (in fact there are two edges on the strip of paper, so it goes around you twice).

For any given area, there is a minimum size for the perimeter (edge), but no maximum. The shape with the smallest perimeter is always a circle. Any other shape with the same area as a circle has a longer perimeter. But there’s no shape with the longest perimeter. No matter what sized shape you choose, there’s always a way to make another shape with the same area but a longer perimeter.

For example, a 10x10cm square has a perimeter of 40 cm, and an area of 100 square centimetres. A rectangle that’s 1cm wide and 100cm long has exactly the same area, but has a perimeter of over 2 metres! And it’s also the same area as a 1 mm wide strip that’s 10metres long.

Layered Cut Paper Sculptures Inspired By Nature

A similar idea applies to the volume and surface area of solid shapes. A sphere has the smallest surface area for any volume, but you can make the surface area as big as you want. This can be very useful, especially for moving heat around.

Heat is lost through the surface of an object, so to cool something down it should have a large surface area. Radiators in cars have many twists and turns to increase their surface area, so that they can get rid of heat coming from the engine of a car. Heat sinks in computers and the pipes on the back of a fridge work in much the same way. Oil-filled electric heaters also have large surface areas to radiate heat, although in this case the large surface area is designed to heat up the room, rather than cool down the heater.

The area of the sheet of paper remains the same throughout the activity – you haven’t changed the size of the piece of paper because none of the cuts went all the way across the paper. But cutting the paper made the perimeter (edge) longer. If there are enough cuts, the perimeter is large enough to go all the way around you (in fact there are two edges on the strip of paper, so it goes around you twice).

For any given area, there is a minimum size for the perimeter (edge), but no maximum. The shape with the smallest perimeter is always a circle. Any other shape with the same area as a circle has a longer perimeter. But there’s no shape with the longest perimeter. No matter what sized shape you choose, there’s always a way to make another shape with the same area but a longer perimeter.

For example, a 10x10cm square has a perimeter of 40 cm, and an area of 100 square centimetres. A rectangle that’s 1cm wide and 100cm long has exactly the same area, but has a perimeter of over 2 metres! And it’s also the same area as a 1 mm wide strip that’s 10metres long.

Layered Cut Paper Sculptures Inspired By Nature

A similar idea applies to the volume and surface area of solid shapes. A sphere has the smallest surface area for any volume, but you can make the surface area as big as you want. This can be very useful, especially for moving heat around.

Heat is lost through the surface of an object, so to cool something down it should have a large surface area. Radiators in cars have many twists and turns to increase their surface area, so that they can get rid of heat coming from the engine of a car. Heat sinks in computers and the pipes on the back of a fridge work in much the same way. Oil-filled electric heaters also have large surface areas to radiate heat, although in this case the large surface area is designed to heat up the room, rather than cool down the heater.

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