Homeless Greg Davies stunned drivers by crawling along the busy A34 in a motorised invalid scooter before abandoning the vehicle on an Abingdon bridge.
Police were alerted after receiving reports that the 37-year-old was causing traffic chaos as he trundled from Oxford to Abingdon in the three-wheeler, dressed only in a shirt and underpants. Police caught up with him on Friday as he approached the Abingdon North turn-off and escorted him into town.
But the following day, the scooter, which police believe is on loan from a charity organisation, was found abandoned on a bridge above the weir, a short distance from Abingdon science park.
A police helicopter was sent to search the river but nothing was found and they now want Mr Davies to let them know he is all right. Pc Roger Lakeman, of Didcot police, said: "It's completely bizarre. The invalid carriage was spotted by drivers who alerted us and officers came along to help.
"It's obviously not safe for someone in a motorised wheelchair to be driving along a busy road like the A34.
"Once Mr Davies got to Abingdon, he was allowed to go on his way but it looks like the wheelchair ran out of juice and he abandoned it. There were fears for his safety because the chair was found next to the weir and we would like him to let us know he is OK."
PC Lakeman said officers spoke to Mr Davies's relatives who live in Abingdon and established that he often travels across the country and has no fixed address.
"We don't think he is necessarily disabled," Pc Lakeman added, "but he might be is a bit eccentric. We want to hear from him so we can clear this up."
A relative of Mr Davies, who asked not to be named, said: "He travels all over - Oxford, London, he's from Kent originally. I haven't got a clue where he is."
Anyone who knows Mr Davies's whereabouts should call 01865 776000.
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