In this chapter we give some examples of Fuchsian groups. The most interesting and important ones are the so-called arithmetic Fuchsian groups, i.e., discrete subgroups of PSL(2,R) obtained by some arithmetic operations. One such construction we have already seen: if we choose all matrices of SL(2,R) with integer coefficients, then the corresponding elements of PSL(2,R) form the modular group PSL(2,Z).

We live in the era of Omnium-Gatherum; all the world's a museum, and men and women are its students. To design any building in England nowadays is therefore to work under the eye, so to speak, of the Society of Antiquaries.

Finance is seldom romantic. But the idea of peer-to-peer lending comes close. This is an industry that brings together individual savers and lenders on online platforms.[…]Banks and credit-card firms are kept out of the picture. Talk to enough people in the field and someone is bound to mention the “democratisation of finance”.

I try to think of a new way of asking the Health Department's nominated flak-catcher, junior minister David Mellor, about the impending back-bench revolt over health charges.