Broach spire

A broach spire is a type of spire (tall pyramidal structure), which usually sits atop a tower or turret of a church. It starts on a square base and is carried up to a tapering octagonal spire by means of triangular faces.^[1][2]

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  Cathedral Church of Saint Martin, Leicester
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  Saint Andrew's Church, Broughton, Northamptonshire
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  St John's Church, Weston, Runcorn, Cheshire, with its short broach spire
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  St Mary's Church, New Mills, Derbyshire
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  All Saints, Coddington, Herefordshire