Marble Hill House, Twickenham, has a main room which is cubical (24 ft cube, if I remember correctly). In one of the upper bedrooms are two lacquered tin canisters in the shape of dodecahedra. They are Pontypool ware, English, 19C, labelled Coffee and Tea.
Sudbrook Park, now the Richmond Golf Club, but actually in Petersham, has a 1726 house designed by James Gibbs with a handsome Cube Room. It is grudgingly open to visitors.
Modern concrete and fabric architecture has produced a number of buildings and structures using three-dimensional saddle Surfaces, usually hyperbolic paraboloids, though cooling towers are usually hyperboloids of revolution of one sheet. These sometimes occur because they are ruled surfaces and hence it is easy to make the forms for the concrete. I think a fabric panel tensioned at the corners, with two alternate corners going upward and the other two other going downward, does form a hyperbolic paraboloid.
According to Ian Nairns book, there are hyperbolic paraboloids at:
The Commonwealth Institute, Kensington High Street (on three supports, which sounds more like a monkey saddle??) (1960-1962);
Two Bishops School, Southwark (a tent shape with four corners turned up) (1959-1960).
There are ten known examples of Mathematical Tiles in London.
The Notes of Ewell Symposium describes six examples:
Cheam Rectory, 15 Maldon Road, Cheam;
13 Crown Hill, Croydon (where there were many examples in the 19C and nearby 35 Surrey Street may have mathematical tiles);
Queensbury House, 7 Burlington Gardens (where the tiles occur around a roof enclosure);
4 John Street (where the tiles are on a rear bay);
74 Long Lane, Smithfield (where the nearby gate of St Bartholomews Priory had mathematical tiles until restored in the early 20C).
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An extract from The Mathematical Gazetteer of the British Isles created by David Singmaster
The original site is at THIS LINK