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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
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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
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