arts, ideas & societyWikipedia1955–1973 · Sydney, Australia

The Sydney Opera House roof was solved by treating each shell as part of a sphere

the gist

The Sydney Opera House began when Eugene Goossens lobbied for a proper venue for opera and orchestral music, and Premier Joseph Cahill launched an international design competition in 1955. The winner, announced in January 1957, was Danish architect Jørn Utzon, whose design drew on natural forms such as bird wings, shells and sails. The curved roof shells proved extremely hard to engineer, and the team went through at least twelve geometric iterations between 1957 and 1963. In mid-1961 they found a workable solution: making every shell a section cut from a sphere, so arches of varying length could be cast in a common mould. Construction ran from 1959 to 1973, and Utzon received the Pritzker Architecture Prize in 2003.

how it works

Each roof shell is cut from a single sphere, so all the curves share the same radius. That means arch segments of different lengths can be cast in one reusable mould, which avoids the cost of building a separate formwork for each piece. Precast units can then be assembled on site, with the engineers surveying each arch so the next one fits.

so what

The Opera House shows how an iconic design can depend on a mathematical trick found late in the process. Its roof is now a symbol of Sydney and one of the most recognised buildings of the 20th century.

fun fact

Utzon received the Pritzker Architecture Prize in 2003, architecture's highest honour.

more on this

key facts

Country
Australia
Located in
City of Sydney
Area
4 km²
Elevation
15 m
Founded
1973

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