11514
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Friezes from Function Graphs
This Demonstration shows simple friezes from function graphs. Three unit cells are shown.
Example: For
, the function plotted is
Contributed by:
Izidor Hafner
SNAPSHOTS
DETAILS
Here
means mirror,
means half-turn, and
means glide reflection [1].
For functions
we use parts of shifted ordinary functions (to avoid accidental symmetry):
,
, …,
,
,
, ….
The mirror about the
axis is obtained using
and
, and about the half-turn by using
and
.
The mirror about the
axis is obtained using both graphs
and
filled to the
axis.
Reference
[1] F. A. Farris,
Creating Symmetry: The Artful Mathematics of Wallpaper Patterns
, Princeton: Princeton University Press, 2015 pp. 52–53.
RELATED LINKS
Frieze Group
(
Wolfram
MathWorld
)
Guessing the Frieze Group
(
Wolfram Demonstrations Project
)
Frieze Designer for Kindergarten
(
Wolfram Demonstrations Project
)
Guess the Antisymmetric Frieze Group, Part 1
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Friezes from Function Graphs
"
http://demonstrations.wolfram.com/FriezesFromFunctionGraphs/
Wolfram Demonstrations Project
Published: March 24, 2016
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
Frieze Functions
Izidor Hafner
Guessing the Frieze Group
Izidor Hafner
Guess the Antisymmetric Frieze Group, Part 1
Izidor Hafner
Rosettes from Photos
Izidor Hafner
Wallpaper Functions
Izidor Hafner
Morphing Wallpaper Functions
Izidor Hafner
The Spherical Patterns for Point Groups
Izidor Hafner
Properties of Rosette Functions
Izidor Hafner
Threefold Color-Turning Wallpaper Functions
Izidor Hafner
Periodic Functions with m-Fold Symmetry of Type k
Izidor Hafner
Related Topics
Curves
Group Theory
Patterns
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+