Families of Two-Point Touching Squares
Initializing live version
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration shows two-point touching families of squares. The number of squares and the tilt angle can be varied.
Contributed by: Izidor Hafner (April 2019)
Open content licensed under CC BY-NC-SA
Snapshots
Details
A family 
is said to be 
-touching provided each element of 
has a nonempty intersection with exactly 
other elements of 
. A 
-touching family 
is said to be point-
-touching if any two touching sets have only a single common point [1].
Reference
[1] B. Grünbaum, "Families of Point-Touching Squares," Geombinatorics, 12(4), 2003 pp. 167–174.
Permanent Citation
Related Demonstrations
More by Author
Families of Four-Point Touching Squares
Izidor Hafner
Families of Four-Point Touching Equilateral Triangles
Izidor Hafner
Prismatic Dominoes for the Blind
Izidor Hafner
Dissecting an N-gram into Two Smaller N-grams
Izidor Hafner
2. Families of Four-Point Touching Squares
Izidor Hafner
Spirals in Squares
Jamie Wickham-Jones
Swirl Points
Daniel de Souza Carvalho
Two-Dimensional Generalized Arnold Cat Map
Yikai Teng
Beautiful Designs Made from Two Knights' Tours
Naoki Saida, Yoshiaki Ohishi, Hiroshi Matsui, and Ryohei Miyadera
Tiling Dragons and Rep-tiles of Order Two
Dieter Steemann