You can't touch both sides of a ring without crossing a boundary,
except this wedding ring, which is designed as a Mobius Strip.
I completely understand frustration with math these days, though. Everything's a "break through"... in reality, stupid people buy anything they read, and the wrong people get credit for something that was discovered like 2000 years ago or more.
"Klein Bottle information"
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"¿ʞɐǝɹɟ ɐ ǝɹ,noʎ uǝɥʍ 'ʇı ʇ,usı 'ʎlǝuol s,ʇı"