11348
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Filling a Cube Seven Parts at a Time
A cube is split into seven filled parts and one empty part. The process can be repeated on the empty part, so that in the limit the whole cube is filled. Consolidate the small cubes to see the seven stair-shaped sections.
Contributed by:
Michael Schreiber
THINGS TO TRY
Rotate and Zoom in 3D
Automatic Animation
SNAPSHOTS
RELATED LINKS
Geometric Series
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Filling a Cube Seven Parts at a Time
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/FillingACubeSevenPartsAtATime/
Contributed by:
Michael Schreiber
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
Tetrix Viewpoints
Michael Schreiber
The Ratio of Surface Area to Volume for a Cube and a Sphere
Mark D. Normand and Micha Peleg
Rhombic Triacontahedron Built on a Cube
Sándor Kabai
The Volume of the Regular Octahedron Is Four Times the Volume of the Regular Tetrahedron
Dan Suttin
Elementary Cellular Automaton Egg
Michael Schreiber
Eggs using Spherical Coordinates
Michael Schreiber
Chains of Regular Polygons and Polyhedra
George Beck
Digon Tiling of a Hosohedron
Michael Schreiber
Theobald's Dissection of the Net of a Cube to the Net of a Regular Tetrahedron
Izidor Hafner
Convergent Series of Rectangles to Fill a Unit Square
Jeremy Kogan
Related Topics
3D Graphics
Series
Short Programs
Solid Geometry
Tiling
Volume
High School Calculus and Analytic Geometry
High School Geometry
High School Mathematics
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
5.MD.C.3
5.MD.C.4
5.MD.C.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+