12,000+
Interactive Demonstrations Powered by Notebook Technology »
TOPICS
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Families of Four-Point Touching Equilateral Triangles
This Demonstration shows four-point touching families of
equilateral triangles, where
,
.
The parameter
, where
is the smaller diagonal of the rhombus.
Contributed by:
Izidor Hafner
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
A family
is said to be
-touching provided each element of
has a nonempty intersection with precisely
other elements of
. A
-touching family
is said to be point-
touching if any two touching sets have only a single common point [1].
[1] B. Grünbaum, "Families of Point-Touching Squares,"
Geombinatorics
,
12
(4), 2003 pp. 167–174. (Mar 27, 2019)
sites.math.washington.edu/~grunbaum/Familiesofpointtouchin.pdf
.
RELATED LINKS
Packing Squares with Triangles
(
Wolfram Demonstrations Project
)
Construction of Squares from a Parallelogram
(
Wolfram Demonstrations Project
)
The Malfatti Squares
(
Wolfram Demonstrations Project
)
Spirals of Squares
(
Wolfram Demonstrations Project
)
Nowhere-Neat Squaring the Square
(
Wolfram Demonstrations Project
)
Tightly Packed Squares
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Families of Four-Point Touching Equilateral Triangles
"
http://demonstrations.wolfram.com/FamiliesOfFourPointTouchingEquilateralTriangles/
Wolfram Demonstrations Project
Published: April 5, 2019
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Dissecting an Equilateral Triangle into Four Equilateral Triangles
Izidor Hafner
Families of Four-Point Touching Squares
Izidor Hafner
Families of Four-Point Touching Isosceles Triangles
Izidor Hafner
Hinged Dissection of Equilateral Triangles
Izidor Hafner
Equilateral Triangle to Square
Jaime Rangel-Mondragon
Hinged Dissection of an Equilateral Triangle into Two Hexagons
Izidor Hafner
Hinged Dissection of an Equilateral Triangle into a Hexagram
Izidor Hafner
A Necklace of Equilaterals
Jaime Rangel-Mondragon
Lindgren's Two-Triangles-to-One Hinged Dissection
Izidor Hafner
Drawing a Triangle
Michael Trott
Related Topics
Patterns
Plane Geometry
Recreational Mathematics
Triangles
Browse all topics