The picture shows some shadows cast by solid (3 dimensional) objects as well as some flat (2 dimensional) shapes.
Describe 3D objects that could have made these shadows. There is more than one answer for each shadow.
Can you draw different shadows that could be made by the same objects?
What sort of shadows […]
Sierpinski Number and Shape Patterns
There are many investigations and projects you could do based on the Sierpinski Tetrahedron.
For a start: how many small tetrahedra, like the blue model shown, were used to make the 6.5 metre high red balloon model shown below.
The smallest tetrahedron (Stage 0), the blue model, is made from 6 balloons, each […]
Polyhedra by Paper Folding
A regular polygon has all its angles equal and all edge lengths equal. In a regular polyhedron all the faces are congruent regular polygons and the same number of polygons meet at each vertex.
Each regular polyhedron has its own codename. The tetrahedron is 333, the octahedron is 3333, the icosahedron is […]
Some arrangements of six squares form the net of a cube, others do not. Explain why the two shaded arrangements are nets of cubes and the two unshaded arrangements are not.
Draw this net and make your own cube.
How many faces, edges and vertices does a cube have?
The picture shows the 7 pieces of the Soma Cube Puzzle. They are made from cubes glued together. Contrasting colours make the puzzle easier to solve as the aim is to assemble the pieces to give a chequerboard effect.
If you make your own puzzle then you can enjoy solving many more challenges. A large […]
Tets and Octs Puzzles
First make 6 paper sticks, all the same length, by rolling paper tightly round pieces of string and securing with sticky tape. Then make a rhombus by tying together 5 sticks to make 2 equilateral triangles. Use the rhombus and the one remaining stick to make a shape with […]
If you have not already done it click these links to try the Collapsible Cube activity and watch the video.
Make a tetrahedron out of rolled paper sticks. Press it gently.
See that it does not change its shape – it is rigid.
Make a 3D cube out of rolled paper sticks, tied together at the ends. Push your cube gently down and sideways. It will collapse into a 2D shape. Can you collapse your cube into
a 2D rectangle made of 2 squares?
Can you fold […]
Paper Stick Tetrahedron
Make 6 paper sticks, all the same length, by tightly rolling a piece of paper around a piece of string and securing it with sticky tape. If you have not made paper sticks before see the video: https://youtu.be/iaJ6EitIGKU
Here are some pictures of 3D shapes made from cubes and drawings of two of the shapes on dotty paper. Can you make these shapes yourself?
What do they look like from different positions?
South Africa COVID-19 News
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