The photographs and diagrams alone should give a good idea of what the theorems are about; being simply the areas or volumes of three shapes that add up to give a fourth, all arranged on the four faces of a *corner of a box*.
A Spatial, 3D, Volume – type theorem that allows the design and building of an infinite number of models.
In addition to the wish that it will contribute towards making Maths more interesting for students Swannie wishes to reveal the therapeutic value to a senior citizen of a quest for finding a solution to a maths puzzle.
Whereas a problem in a maths text book – a De Gua De Malves type problem (but this was only pointed out to him afterwards and he was also off computers for years) got him going, a fourth power area squared thing put him off track for at least four months.
During this time many little boxes of many shapes were built out of frustration but that and the theorem models building is another story.
Not related to the theorems, you are rewarded with ‘Bra and Ball‘ on the common origin of two useful commodities.