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Hey everyone,
I came accross this rather "uncoventional" space geometry question, from a dutch book. I have answers in mind but I wanna check with you guys..
Check the attached picture for the cube..
The question goes like this:
This photograph of a cube was taken on a tropical island, so the sunbeams are directed almost perpendicular to the groud.
>In the pciture only part of the shadow is visible. What will the shadow look like "behind" the cube?
By changing the position of the cube or the sun, you can find different shapes of shadow. Assume the edge of the cube has lenght 1
>At which positions of sun and cube the shadow will be a square of 1 by 1?
>Describe a situation in which the shadow is a square with edges of length "root of 2" (approx. 1.4)
Now, I'll put my answers in the next post so that u can take your shot at the question first.
Thanks,
Xeno
I came accross this rather "uncoventional" space geometry question, from a dutch book. I have answers in mind but I wanna check with you guys..
Check the attached picture for the cube..
The question goes like this:
This photograph of a cube was taken on a tropical island, so the sunbeams are directed almost perpendicular to the groud.
>In the pciture only part of the shadow is visible. What will the shadow look like "behind" the cube?
By changing the position of the cube or the sun, you can find different shapes of shadow. Assume the edge of the cube has lenght 1
>At which positions of sun and cube the shadow will be a square of 1 by 1?
>Describe a situation in which the shadow is a square with edges of length "root of 2" (approx. 1.4)
Now, I'll put my answers in the next post so that u can take your shot at the question first.
Thanks,
Xeno
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