Combining Transformations
Does changing the order of transformations always/sometimes/never produce the same transformation?
Does changing the order of transformations always/sometimes/never produce the same transformation?
How many different transformations can you find made up from combinations of R, S and their inverses? Can you be sure that you have found them all?
A gallery of beautiful photos of cast ironwork friezes in Australia with a mathematical discussion of the classification of frieze patterns.
Patterns that repeat in a line are strangely interesting. How many types are there and how do you tell one type from another?
This task develops knowledge of transformation of graphs. By framing and asking questions a member of the team has to find out which mathematical function they have chosen.
An account of how mathematics is used in computer games including geometry, vectors, transformations, 3D graphics, graph theory and simulations.