Pupils' Stunning Sierpinski Tetrahedron
Mathematics department's amazing 3-D fractal goes on display at the Senior School.
An amazing tower of triangles built by pupils has gone on display at the Senior School today. The level 5 Sierpinski Tetrahedron is a classic 3-D fractal (a never-ending pattern), an elegant structure that is a large tetrahedron created out of 1024 small (solid) tetrahedra.
Its construction took place last year, when pupils in our then First to Fourth Forms plus our Lower Sixth, each spent at least one Maths lesson building the small level 4 components out of coloured metallic card. These were then put together to form larger tetrahedra - at levels 3, 2 and 1. Finally, the pyramid-shaped level 5 tetrahedron was assembled. It is now sited in a Perspex box outside the entrance to the Queen Katharine Building (QKB), near the Art department, and is well worth a look!
This is the second large-scale model of a fractal built by our Mathematics department, led by Mr Andrew Wilkinson. The first was a giant Menger Sponge, in Kimbolton colours, a stunning piece of mathematical art housed inside the QKB. Mr Wilkinson said: "If the whole tetrahedron started off as one large (no holes) object, then every time it moves up a level (by removing a large triangle from each face) the volume halves, but the surface area remains constant. Like the Menger Sponge it’s a fractal, which looks the same whether you zoom in or out."
Mr Adam Jessup, Head of Maths, added: “Most pupils have made a single tetrahedron and many other people have helped with different aspects of what became quite a difficult project. I am delighted by the finished piece and I hope others can appreciate the second large-scale model of a fractal that the Kimbolton community has contributed to.”