Prince Ruperts Cube

Author:Jonas Hall GeoGebra ambassador 2024/25

Topic:Cube

This construction shows that it is possible to make a hole in a cube, through which a larger cube can pass! The points on the sides that define the cut-out are placed 3/4 of the way from one coner to the next.

New Resources

Exploring Number of Squares on the Diagonal of a Rectangle
Square Cross Sections
Solving 2x2 and 3x3 Systems Using Cramer's Rule
Identifying Sine, Cosine, Tangent Ratios in Right Triangles (Quick)
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Discover Resources

Pappus's theorem
Geogebra Sine Function
T is for Tangent Line
Windmills of Your Mind Spirals/Circles
Google Slide Test 2020-1-1

Discover Topics

Matrices
Equations
Symmetry
Hyperbola
Function Graph