<?xml version="1.0" encoding="UTF-8"?>
<rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>The power of multifolds: Folding the algebraic closure of the rational numbers · HackerPapers discussions</title><link>https://hackerpaper.kaipfister.de/p/0808.1517/</link><description>Collected HN comments and submissions linking this paper.</description><language>en</language><lastBuildDate>Mon, 02 Nov 2026 11:16:22 GMT</lastBuildDate><atom:link href="https://hackerpaper.kaipfister.de/p/0808.1517/feed.xml" rel="self" type="application/rss+xml" /><item><title>The power of multifolds: Folding the algebraic closure of the rational numbers — mentioned by srean</title><link>https://news.ycombinator.com/item?id=45224268</link><guid isPermaLink="false">urn:hackerpapers:mention:0808.1517:45224268</guid><pubDate>Fri, 12 Sep 2025 17:08:25 GMT</pubDate><description>&lt;p&gt;Sure, it makes sense to isolate the minimal sets of primitives needed for an operation. Greeks experimented quite a bit with nuesis before focusing on straight edge and compass. Folding, as you noted, was not part of their mix. BTW nuesis can also trisect angles, so they could do it without origami. Origami folding is more powerful than the closure of rationale by square and cube roots. They were extended to the quintic roots by Robert Lang using a type of folding called multifold. Now it&amp;#x27;s known that with multifolds all of the algebraic numbers can be constructed with origami…&lt;/p&gt;&lt;p&gt;&lt;a href="https://hackerpaper.kaipfister.de/p/0808.1517/"&gt;Paper and discussion history&lt;/a&gt;. A mention is not an endorsement.&lt;/p&gt;</description><category>math.AG</category></item></channel></rss>
