Polygon definition for New Pentagonal Tiling

Replies to This Discussion

Permalink Reply by Pieter Segeren on November 5, 2015 at 5:26am

Hi Diego, I would approach this the other way around: I wouldn't make this rigid shaped pentagon parametrical (except its scale).
The thing I would want to do parametrically would be the bigger part of the tiling.
In the attached example I've 'grouped' 12 tiled curves (to create a kind of new singe tile) to repeat, plus two vectors for 'x' and 'y' displacements. It's just an example, there must be better ways to group some pentagons (maybe less than 12) and copy them.

Attachments:

• PentagonTiling_PSG.gh, 25 KB

Permalink Reply by Diego Xavier on November 5, 2015 at 6:16am

I mounted mine with 12 blocks too, like the image they provided with the research,

I'm not a math genius, don't know anywhere to go from here now :D

Permalink Reply by Pieter Segeren on November 5, 2015 at 6:25am

Me neither, well if it does what you were after there's no need to look further, is there? :)

Permalink Reply by Diego Xavier on November 5, 2015 at 7:30am

http://www.theguardian.com/science/alexs-adventures-in-numberland/2...

Permalink Reply by peugeot on July 16, 2017 at 5:17am

enclosed a version that is robust for mac.

Notice that a interesting article about pentagona tiling has been in quanta (see https://www.quantamagazine.org/pentagon-tiling-proof-solves-century...

Attachments:

• Penta windows and mac.gh, 94 KB

Permalink Reply by peugeot on July 17, 2017 at 12:38am

Enclosed is a version for Type 8 pentagon tiling. I use bruteforce Galapagos to find the correct E angle. If someone knows a more direct solution, let me know.

Attachments:

• pentagon tiling type 8 v02.gh, 27 KB