This site is for maths students and amateurs who enjoy exploring maths, music, and acoustics. I am not a professional mathematician, musician nor artist, so there are no high-powered research papers here -- just the work of an enthusiast.

The latest additions include some paintings and drawings plus

1) A simple account of photogrammetry -- the process of determining 3D information from 2D photographs. It covers the principles of calculating object positions in a scene from overlapping photos. Also stitching images together into a parorama, and other aspects of computer vision..

2) Drawing in perspective: How simple objects appear when drawn accurately. This includes a section on how computer graphics software rotates an object, plus an account of non-linear perspective using the map projections. A supporting article describes spherical triangles,

3) A simple question about a ladder leaning against a wall which leads to intriguing maths of ellipses and the astroid curve.

4) An attempt to find the largest sofa which can be manoeuvred round a 90 degree corner in a corridor (with animation). This is supported by statistics on the error in measuring the area of an arbitrary plane figure by counting the number of lattice points inside it.

Click the buttons above particular topics,

or here for an overview of contents and other topics