10753
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Brodie's Pentagon-to-Square Dissection
A regular pentagon is cut into three pieces that can be reassembled into a parallelogram. Next, the parallelogram is dissected into a square.
Contributed by:
Izidor Hafner
Based on work by:
Greg N. Frederickson
THINGS TO TRY
Gamepad Controls
SNAPSHOTS
DETAILS
This dissection was given by Robert Brodie (1891) and is an improvement on Busschop's pentagon-to-square dissection.
G. N. Frederickson,
Dissections: Plane & Fancy
, New York: Cambridge University Press, 2002 p. 120.
RELATED LINKS
Dissection
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Brodie's Pentagon-to-Square Dissection
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/BrodiesPentagonToSquareDissection/
Contributed by:
Izidor Hafner
Based on work by:
Greg N. Frederickson
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
Pentagon-to-Near-Square Dissection
Izidor Hafner
Dissection of a Pentagon to Almost a Square
Izidor Hafner
Pentagon-to-Near-Equilateral-Triangle Dissection
Izidor Hafner
Bennett's Octagon-to-Square Dissection
Izidor Hafner
Lindgren's Square-to-Dodecagon Dissection
Izidor Hafner
Busschop's Hexagon-to-Square Dissection
Izidor Hafner
Another Octagram-To-Square Dissection
Izidor Hafner
Theobald's Dissection of a Heptagon to a Pentagon
Izidor Hafner
Theobald's Heptagon-to-Square Dissection
Izidor Hafner
Octagram-to-Square Dissection
Izidor Hafner
Related Topics
Plane Geometry
Polygons
Recreational Mathematics
Puzzles and Recreations: Advanced
School Puzzles and Recreations
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
1.G.A.2
3.G.A.2
5.G.B.4
8.G.A.1
8.G.A.3
8.G.A.4
HSG-CO.A.5
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+