Uploaded September 2017 | Updated September 2026, 1 week ago
demonstrations.wolfram.com/MinimallySquaredRectangles
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
Divide a rectangle of size mxn into the minimal number of squares. For a rectangle of size 17x19, the solution (with nine squares) is nontrivial to find. This Demonstration gives precalculated solutions for rectangles up to size 380x380.
Contributed by: Ed Pegg Jr
Audio created with WolframTones:
tones.wolfram.com
demonstrations.wolfram.com/MinimallySquaredRectangles
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
Divide a rectangle of size mxn into the minimal number of squares. For a rectangle of size 17x19, the solution (with nine squares) is nontrivial to find. This Demonstration gives precalculated solutions for rectangles up to size 380x380.
Contributed by: Ed Pegg Jr
Audio created with WolframTones:
tones.wolfram.com

![Roulette (Hypotrochogon) of a Polygon Rolling inside Another Polygon
http://demonstrations.wolfram.com/RouletteHypotrochogonOfAPolygonRollingInsideAnotherPolygon
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
A hypotrochogon is the trace (roulette) of a point attached to a regular polygon rolling without slipping inside another regular polygon [1]. The hypotrochogon can be curtate if the tracing point is inside the rolling polygon, or prolate if it is outsid...
Contributed by: Erik Mahieu
Audio created with WolframTones:
http://tones.wolfram.com Roulette (Hypotrochogon) of a Polygon Rolling inside Another Polygon](https://i.ytimg.com/vi/EKbcdYe4S9Y/mqdefault.jpg)



![Powered Clique Polyhedra
http://demonstrations.wolfram.com/PoweredCliquePolyhedra
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
Can a tetrahedron be divided into similar tetrahedra of different sizes? The answer is not known, but a solution for triangles was found by Zak [1]. This triangle, shown further in [2], has edges that are all powers of ?=1.1509639252577..., a ro...
Contributed by: Ed Pegg Jr
Audio created with WolframTones:
http://tones.wolfram.com Powered Clique Polyhedra](https://i.ytimg.com/vi/FSdRtVPul30/mqdefault.jpg)


![The Plemelj Construction of a Triangle: 3
http://demonstrations.wolfram.com/ThePlemeljConstructionOfATriangle3
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
This Demonstration constructs a triangle ABC given the length c of its base AB, the length h_C of the altitude from C to AB and the difference ?=?-? between the angles at A and B. Let m=SqrtBox[RowBox[{SuperscriptBox[c, 2], +, SuperscriptBox[RowBox[{(, ...
Contributed by: Izidor Hafner
Audio created with WolframTones:
http://tones.wolfram.com The Plemelj Construction of a Triangle: 3](https://i.ytimg.com/vi/FrjAm4efl7I/mqdefault.jpg)

