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Regular tetrahedron?

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The diagonals of the green quadrilateral are equal in length and at right angles to each other

The article says in part:

"If squares are constructed all internally or all externally on the sides of an octagon, then the midpoints of the segments connecting the centers of opposite squares form a quadrilateral that is both equidiagonal and orthodiagonal (that is, whose diagonals are equal in length and at right angles to each other)."

Can the quadrilateral be construed as a regular tetrahedron? Sandbh (talk) 03:37, 3 September 2022 (UTC)[reply]

Perhaps as a shadow of one. —Tamfang (talk) 01:21, 12 September 2022 (UTC)[reply]

That's what I thought, maybe. It seems peculiar to derive regularity from irregularity. Sandbh (talk) 04:47, 12 September 2022 (UTC)[reply]

Added image from National Trust

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Hello! I added an image of a chair that uses octagonal geometry as part of this pilot project, more images are available to use here Lajmmoore (talk) 19:00, 15 February 2024 (UTC)[reply]