Toucan
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This is a small cardboard toucan. It can sit on the corner of, say, your NEC monitor. In order to make that work, you have to glue a small weight such as a coin to the inside of the feet, like so:
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This will give enough balance to keep the bird safely atop of any roughly right-angled ridge. The model itself is relatively easy, however the beak is a bit tricky.
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If you want to make one yourself, here is the template: