This is the parachute landing area at Sibson Aerodrome, near Peterborough in Cambridgeshire, where one man died and another man was seriously injured after they collided while skydiving.
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The shoes date back to 1690 and are thought to be worth hundreds of pounds.
Detectives are appealing for witnesses after the assault was reported earlier this month.
A candle-lit vigil was cut short after a man started shouting.