Mathematical Tiling and Tessellation | Further to "the arc tessellations" post yesterday, I use 7 overlapping circles to create the 4 unique tiles, which are colour-coded for easy identific...

101.6K members
Join group

Mathematical Tiling and Tessellation 
Join

Ghee Beom Kim
 May 11 at 1:58 PM Shared with Public group
Further to "the arc tessellations" post yesterday, I use 7 overlapping circles to create the 4 unique tiles, which are colour-coded for easy identification. These tiles are rearranged randomly to fill a space. Note that they tile in a non-repeating way in any direction.
The number of overlapping circles can vary, and yet no tessellations created this way will be the same.
As I am trying to tile these one by one, it takes a lot of time. Can any mathematician develop a program that does this for many iterations?
All reactions:
10 comments
4 shares
Like
Comment
Share
Rhett Carter
Excellent write. But I only counted 3 shapes for the right prototype.
View all 5 replies
David Currie
In my opinion, this is fascinating, thank you for sharing!
Miki Imura
Mild spoiler here — you're still free to explore arrangements, of course.
May be a graphic
4
View 1 reply
View more comments
3 of 4