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It can have. There are 257 different octahedra and some of them have rectangular or square faces. See the attached link for some of the 257.

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Q: Does a octohedron have any rectangular or squared faces?
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Related questions

How many rectangular faces does Rectangular prism have?

it has four rectangular sides and 2 square faces * * * * * It need not have ANY square faces. It can have six rectangular faces.


How many rectangular faces does a rectangular prism have?

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