Troy@lemmy.ca to math@lemmy.world · 1 year agoHow a Doodler's Problem Sparked a Controversy in Math | Scientific Americanwww.scientificamerican.comexternal-linkmessage-square3fedilinkarrow-up11arrow-down10file-text
arrow-up11arrow-down1external-linkHow a Doodler's Problem Sparked a Controversy in Math | Scientific Americanwww.scientificamerican.comTroy@lemmy.ca to math@lemmy.world · 1 year agomessage-square3fedilinkfile-text
minus-squareTroy@lemmy.caOPlinkfedilinkarrow-up0·1 year agoAre their exotic 2D geometries that work? Like, for example, the surface of a Klein bottle? (A cursory google search rules out the Klein bottle – any others perhaps?)
minus-squareperson594@feddit.delinkfedilinkarrow-up0·1 year agoOn a torus, you can have up to seven mutually adjacent regions. See https://upload.wikimedia.org/wikipedia/commons/3/37/Projection_color_torus.png
Are their exotic 2D geometries that work? Like, for example, the surface of a Klein bottle? (A cursory google search rules out the Klein bottle – any others perhaps?)
On a torus, you can have up to seven mutually adjacent regions. See https://upload.wikimedia.org/wikipedia/commons/3/37/Projection_color_torus.png