Timeline for Subdivision of pentagon into six congruent pieces
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Dec 15, 2022 at 2:22 | history | edited | Oscar Lanzi | CC BY-SA 4.0 |
added 1 character in body
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| Dec 15, 2022 at 0:36 | history | edited | Oscar Lanzi | CC BY-SA 4.0 |
Added recursion rules.
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| Dec 14, 2022 at 23:54 | comment | added | Oscar Lanzi | Or, set off a triangle along each edge and leave a smaller pentagon 8n the center. My 7+11 iteration is too busy to present, but it ends up doing just tgwt with each piece further subdivided into three ($6×3=18=7+11$). | |
| Dec 14, 2022 at 23:49 | history | edited | Oscar Lanzi | CC BY-SA 4.0 |
Modified Pic. One ogmf my divisions was inconsistent.
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| Dec 14, 2022 at 22:32 | comment | added | Oscar Lanzi | I chose the Lucas number based division for number theoretical and geometrical elegance. If you want six pieces, in a (to me) less elegant fashion, bisect the isosceles triangles in my 2+1 division. | |
| Dec 14, 2022 at 22:11 | comment | added | Per Alexandersson | So, a pentagon into 6 pieces, of two different congruence classes, is also difficult it seems. Sounds like a generalization of the problem, "a regular N-gon into k-pieces, which belong to C congruence classes, is it doable or not?" | |
| Dec 14, 2022 at 17:25 | history | edited | Oscar Lanzi | CC BY-SA 4.0 |
edited body
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| Oct 11, 2022 at 20:32 | comment | added | Wlod AA | However, the OP's q. was about 6 pieces. Two different pieces is already taking liberties. (Nevertheless, your answer is interesting, I've learned something that was new to me). | |
| Oct 11, 2022 at 20:23 | comment | added | Oscar Lanzi | In the divisions shown here, the triangles are isosceles. So mirror reflection is trivial. | |
| Oct 11, 2022 at 20:12 | comment | added | Wlod AA | It's very simple to divide the regular pentagon into 6 pieces of 2 isometric types. However, the way I see it, the isometry of two pieces requires an orientation change (mirror symmetry). It may be difficult to avoid this (I don't know). | |
| Oct 11, 2022 at 17:49 | history | edited | Oscar Lanzi | CC BY-SA 4.0 |
edited body
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| Oct 11, 2022 at 16:56 | history | answered | Oscar Lanzi | CC BY-SA 4.0 |