A 16-19-21 triangle can be divided into 5-7-8, 9-15-21, 6-14-16, and 7-13-19, with the 7 edges not touching. I posted four solutions at http://math.stackexchange.com/questions/1819928/triangle-dissection-no-share... On Thu, Jun 9, 2016 at 11:03 AM, Zak Seidov <math-fun@mailman.xmission.com> wrote:
Have a look at my last post in FB:
https://www.facebook.com/zak.seidov/allactivity?privacy_source=activity_log&...
Zak
Четверг, 9 июня 2016, 18:45 +03:00 от Tom Rokicki <rokicki@gmail.com>:
And that's why it is a puzzle.
On Thu, Jun 9, 2016 at 8:13 AM, Allan Wechsler < acwacw@gmail.com > wrote:
It can't be edge-to-edge *anywhere. *I am not seeing how to do this at all.
On Thu, Jun 9, 2016 at 10:58 AM, Veit Elser < ve10@cornell.edu > wrote:
On Jun 9, 2016, at 10:34 AM, Fred Lunnon < fred.lunnon@gmail.com >
wrote:
Any interior edge is common to two small triangles, so all interior sides must be equal in pairs? WFL
True, the dissection/tiling cannot be edge-to-edge. But consider a triangle, and mark one point on each of its edges, always within the first half in a clockwise sense. Joining vertices to marked points on opposite edges will form an internal triangle — that is one of the triangles of the dissection. I’ll leave it to you to find the other three.
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