10809
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Decomposition of Some Polygons to Iso-Penta Triangles
Many figures, such as the pentagon, pentagram, and decagon, can be dissected into isosceles triangles where all three angles are multiples of
. Such triangles are called iso-penta triangles.
Contributed by:
Izidor Hafner
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] G. N. Frederickson,
Dissections: Plane & Fancy
, New York: Cambridge University Press, 1997 p. 212.
www.cs.purdue.edu/homes/gnf/book.html
.
RELATED LINKS
Hinged Dissection of a Decagon into Two Pentagons and Two Pentagrams
(
Wolfram Demonstrations Project
)
Dissecting a Decagram {10/4} into Two Decagons
(
Wolfram Demonstrations Project
)
Hinged Dissection of One Pentagram into Five Pentagrams
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Decomposition of Some Polygons to Iso-Penta Triangles
"
http://demonstrations.wolfram.com/DecompositionOfSomePolygonsToIsoPentaTriangles/
Wolfram Demonstrations Project
Published: September 11, 2013
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
A Twist-Hinged Dissection of Triangles
Izidor Hafner
Dissection of One Triangle to Another
Izidor Hafner
Dissecting One Equilateral Triangle into Seven
Izidor Hafner
Lindgren's Dissection of a Quadrilateral to a Triangle
Izidor Hafner
Decomposition into Isosceles Triangles with Angles That Are Multiples of Pi/4
Izidor Hafner
Proportional Triangle Nesting
Michael Schreiber
Decomposing a Regular Polygon with an Odd Number of Sides into Rhombuses and Triangles
Izidor Hafner
Lindgren's Symmetrical Decompositions of Regular 2n-Gons
Izidor Hafner
Freese's Dissection of Four Equilateral Triangles into One
Izidor Hafner
Twist-Hinged Dissection That Doubles the Sides of a Polygon
Izidor Hafner
Related Topics
Polygons
Tiling
Triangles
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+