Ghee Beom Kim
 May 10 at 8:30 PM Shared with Public group
Introducing a new form of tessellation, termed "arc tessellations," which originates from the patterns found in circular rosettes. Circular rosettes, formed by overlapping circles, possess a unique characteristic: their constituent shapes, defined by the arcs of these circles, can fit together to tile a plane in a non-repeating manner(aperiodic), reminiscent of Penrose tilings. It's the specific combination of these arc-defined pieces that allows for complete coverage of a space. The number of overlapping circles in a rosette directly influences the resulting shapes. For example, the arc pieces derived from a rosette of nine overlapping circles will differ from those generated by ten, leading to distinct non-periodic tessellations. This fascinating tessellating behavior emerges in circular rosettes created with more than three overlapping circles.
All reactions:
19 comments
35 shares
Like
Comment
Share
Mickaleen McMickey
Ooh nice. Never seen that before. Thanks.
Johan Thornton
More examples please!
Trilipp Durdax
A miracle! Is there always going to be a piece that fits at any place or no matter how the tiling is constructed?
View more comments
3 of 13