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Next Size Up

The challenge for you is to make a string of six (or more!) graded cubes.

More Pebbles

Have a go at this 3D extension to the Pebbles problem.

Cylinder Cutting

Stage: 2 and 3 Challenge Level:

Have you thought about looking at the angles involved? You could search online for each of the angles, selecting "images".

Here are some web sites that might help:

http://www.physicsforums.com/showthread.php?t=164674

http://mars-earth.com/cydonia_eygpt/

http://dcsymbols.com/templates2/page1.htm

http://www.abovetopsecret.com/forum/thread189136/pg2

http://www.vortexmaps.com/planets.php

http://www.martinkeitel.net/cropcircles/harlequin/3dmath.html

http://www.martinkeitel.net/cropcircles/harlequin/3d_frame.html

And here is a solid shape relating to the challenge:

http://dogfeathers.com/mark/rhdodec.html

http://www.korthalsaltes.com/model.php?name_en=rhombic%20dodecahedron

http://www.kjmaclean.com/Geometry/rhombicdodeca.html

http://mathworld.wolfram.com/RhombicDodecahedron.html

Pythagoras' theorem. Circles. Visualising. smartphone. Angles. Cylinders. Creating expressions/formulae. Rectangles. Volume and capacity. Area.