Talk:Octagon

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Latest comment: 2 March by Tamfang in topic Saintpauls
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Regular tetrahedron?

File:A generalization van Aubel theorem.svg
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

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

Saintpauls

Saintpauls ("sampaulos" in Portuguese and "sampauli" in Latin) are octagons who form the map of the state of São Paulo. Geometrically, they are used for mathematical calculations.

189.50.176.108 (talk) 12:59, 28 January 2025 (UTC)Reply

Can you give some examples of their use? —Tamfang (talk) 22:25, 2 March 2025 (UTC)Reply