Timeline for Is there a rectangular tiling based on the Padovan sequence?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 23, 2020 at 21:20 | comment | added | Cye Waldman | @BrianHopkins Well, that's exactly what I'm talking about and I've developed it already. I'm merely trying to find out if it's been done before. I didn't want to go posting it anywhere without verifying that it hasn't been done before. I apologize if I've caused any misrepresentations. | |
| Mar 23, 2020 at 19:25 | comment | added | Brian Hopkins | @CyeWaldman So you want a tiling of the plane using rectangles whose side lengths are sequential Padovan numbers, hopefully in some sort of spiral. | |
| Mar 23, 2020 at 15:12 | comment | added | Cye Waldman | @BrianHopkins Thanks for looking. I'm talking about the first and second figures on that web page. The point being to create a tessellated figure using only the integers in the sequence. | |
| Mar 23, 2020 at 13:30 | comment | added | Brian Hopkins | @CyeWaldman Which figure do you mean? (There are 10.) "Rectangular tiling" suggests the third one whose caption begins "Thirteen $(F_7)$ ways" showing tilings of a $1 \times 6$ board with $1\times1$ and $1\times 2$ tiles, in which case Per's answer seems appropriate. | |
| Mar 22, 2020 at 0:04 | comment | added | Cye Waldman | By rectangular tiling I mean a whorled figure where the tiles circle around and increase in size according to some sequence or numbers raised to successive powers. See en.wikipedia.org/wiki/Fibonacci_number for an example with the Fibonacci sequence. Of course, the Padovan sequence would require rectangles rather than squares. | |
| Mar 21, 2020 at 20:47 | history | answered | Per Alexandersson | CC BY-SA 4.0 |