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  • The question is in the title.

  • A pictorial representation of what this is about is the following: enter image description here

(created with GeoGebra and GIMP)

  • The orthoschemes named after Ludwig Schläfli are very relevant but more special, and I suspect that the above decomposition has been recognizably described much earlier than the mid 1800s.

  • I would also appreciate a view on whether this recognizably occurs in Euclid's elements. To me it seems it doesn't.

  • Are there attested extant non-European mentionings of this?

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