BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251014T145934EDT-3310JDF1g3@132.216.98.100 DTSTAMP:20251014T185934Z DESCRIPTION:Title: Non-Obtuse Dissection of Tetrahedra.\n\nIn the plane any obtuse triangle can be dissected into 2 right-angled triangles by drawing the altitude from the obtuse vertex on its opposite side. The problem gen eralises naturally to higher dimensions\, where we consider a simplex to b e non-obtuse provided no angle between two co-dimension 1 faces is obtuse. The problem at hand is then stated in an open conjecture due to Hadwiger (1956): can every d-simplex be dissected into non-obtuse d-simplices? We p rovide a constructive answer to this interesting puzzle in dimension 3\, w here we show that\n\n28 orthoschemes are sufficient to dissect any tetrahe dron.\n DTSTART:20180919T190000Z DTEND:20180919T200000Z LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Florestan Brunck (9IÖÆ×÷³§Ãâ·Ñ) URL:/mathstat/channels/event/florestan-brunck-mcgill-u niversity-289701 END:VEVENT END:VCALENDAR