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html import

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Events

first seen date

2024-10-15 21:17:38

expired found date

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created at

2024-10-15 21:17:38

updated at

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Open Graph

title

mathrecreation

description

A blog on interesting topics in recreational mathematics, including useful resources for math teachers, students, and enthusiasts.

image

site name

author

updated

2026-01-19 15:30:40

raw text

mathrecreation mathrecreation home polynomial division puzzles themes about Wednesday, June 9, 2021 origami envelopes and letterfolds A while ago, I posted an exploration of the origami envelope featured on Origami USA's free diagram page that showed that the central rectangle formed in the crease pattern that contributes to the front (or back) of the completed envelope is 1/4 the area of the original paper (see  here for that ). Jose Ignacio Royo Prieto ( http://www.ehu.eus/joseroyo/ ), a mathematician with an interest in origami, recently provided me with a much nicer argument that allows you to directly see this area relationship while folding or holding the envelope in your hands.  As Jose explains: I very  much prefer to argue by counting the layers of the final model: there  are four of them in every point of the envelope (this homogeneity is  remarkable), save in the two pocket-triangles, containing six layers.  But the pocket-triangles are double the siz...

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