| CROSS CURRICULAR STUDIES - THREE | 
              
              The nature of the different stone 
                used by Andy Goldsworthy and the wallers in constructing his cones 
                and folds can lead to an understanding of the GEOGRAPHY and GEOLOGY 
                of Cumbria and link to studies in SCIENCE. 
              'The Lake District ... contains 
                a surprising number of different rock types and 
                corresponding styles of walling. Starting with the oldest formations, 
                the Skiddaw Slates of the northern peaks, one finds walls of dark 
                or occasionally greenish fissile slates and flags ... Between 
                Keswick and Ambleside, in a broad zone which includes the most 
                rugged part of the district, the Borrowdale Volcanics form a varied 
                group of erosion-resistant massive lavas and tuffs. The granite 
                and granophytes of Ennerdale and Eskdale produce walls of similar 
                type but a warm mottled pink. The volcanic walls are generally 
                similar in design to those of slate but are generally coarser 
                and more massive ... 
              The southern part of the Lake 
                District is made up of Silurian slates, which include shales and 
                flags as well as true slates. These resemble the Skiddaw slates 
                ... which produce slabs for walling. Where the Coniston and Brathay 
                flags occur at the boundary of the Silurian slates and Borrowdale 
                volcanics, roughly quarried slates are sometimes used upright 
                to make stone fences. Many examples can be found around Coniston, 
                Hawkshead and Ambleside.
                Around the edges of the Cumbrian dome other newer rocks occur 
                which connect Lake District walls with those of the Pennines and 
                the Carlisle area. Carboniferous limestone around Furness, in 
                the area south of Kendal and elsewhere is used to build silvery-grey 
                walls, quite similar to those farther east in Yorkshire. New Red 
                Sandstones occur on the coast around St. Bees and in the tongue 
                of the Eden Valley, where the walls are rusty red and often of 
                shaped and wellbedded blocks, while between here and the 
                limestone area is a narrow belt of Coal Measure gritstone walls.' 
                (5)
              Dry stone walls, sheepfolds, limestone 
                kilns and field barns are also habitats for a wide range of flora 
                and fauna and present the possibility of studying many species 
                of flowers, grasses, mosses, lichens, animals, birds and insects 
                as part of the SCIENCE curriculum. (6)
              The Sheepfolds project can give 
                rise to work in MATHEMATICS, looking at pattern and tessellation 
                in wall building. The shape, area, dimensions and proportions 
                of the folds were often based on careful calculations. 
              'To minimise snow deposit within 
                the stell, the height of a circumference wall in relation to diameter 
                is crucial: thus for stells up to 15 yards [about 15 metres] in 
                diameter this height should be 6 feet [about 2 metres]. Most stells 
                were 8 to 15 yards [approx. 8 to 15 metres] in diameter, depending 
                on the size of their heft'. (7) 
              (A stell is a sheepfold that provides 
                shelter for sheep and a heft is the area of fell land grazed by 
                a particular flock of sheep.)
              Andy Goldsworthy's cones too are 
                built to careful measurements, where the size of the base, the 
                maximum width and the final height are in ratio 3: 5: 7. He has 
                found that these proportions form the strongest structure to allow 
                the weight of the stone to curve out and then in. The cones completed 
                at Raisbeck, Outhgill, Brough and Bolton are approximately 2 metres 
                high, have about 25 courses and, altogether, contain 3-4 tons 
                of stone in each cone. 
              Each time Andy Goldsworthy builds 
                a fold, Dick Capel, the Sheepfolds Commissions Manager, has an 
                interesting mathematical problem in calculating the amount of 
                stone required to build a fold. If it is approximately two metres 
                high and three metres in diameter he must calculate the circumference 
                to find how many tons will be needed. Approximately one ton of 
                stone is used per metre of wall.