Timeline for Building equilateral triangles by reflecting tokens
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 22, 2021 at 6:19 | comment | added | user2357112 | @Randal'Thor: The reflections aren't relative to any particular grid. The grid arises from the properties of the reflections. Drawing a different grid doesn't change the possible reflections. | |
| Nov 22, 2021 at 5:03 | comment | added | Rand al'Thor | Not to be a party pooper, but are you sure the symmetry argument works? Assume that getting from a side-1 triangle to a side-2 triangle is possible by using reflections on the side-1 grid. By symmetry, getting from a side-2 triangle to a side-1 triangle is possible by using reflections on the side-1 grid. By similarity, this means getting from a side-1 triangle to a side-0.5 triangle is possible by using reflections on a side-0.5 grid. Does that necessarily contradict the fact that it's not possible by using reflections on the side-1 grid? | |
| Nov 21, 2021 at 18:59 | vote | accept | ThomasL | ||
| Nov 19, 2021 at 16:26 | comment | added | user21820 | @GeorgeMenoutis: It's not "again an equilateral triangle". | |
| Nov 19, 2021 at 14:22 | comment | added | George Menoutis | I don't get it. If I "reflect" B on A, but leave C where it is, won't I get a triangle with sides 1,1, and (2 times equilateral height)? | |
| Nov 19, 2021 at 7:01 | comment | added | justhalf | Nice and clean proof. I like the reversibility argument. Good one! | |
| Nov 18, 2021 at 23:14 | history | answered | Deusovi♦ | CC BY-SA 4.0 |