Chapman has previously created tile mosaics of footballers Eric Cantona and George Best and portraits of Manchester United manager Sir Alex Ferguson and Fulham boss Mark Hughes using coins.
Sunday's derby had been preceded by some verbal jousting between Ferguson and his City boss Mark Hughes, and the Scot was quick to remind his managerial counterpart that United had secured local bragging rights - for the time being at least.
Over the years, it has come to mean those nervous moments beyond the 90-minute mark that drag on just long enough for Ferguson's team to snatch a late goal.
Whenever Ferguson does leave, it will mark the end of an era in Manchester and European soccer, a spell that saw Manchester United become not just an on-field juggernaut, but one of sports' pre-eminent global brands.
City's sacking of Mancini came on the day United held a victory parade to mark their 20th league title and Sir Alex Ferguson's retirement, an event that drew thousands of fans on to the streets of the English north west city.
Both Simpson, 23, and Griffiths, 24, were brought to Posh by former boss Darren Ferguson, but made their debuts under Mark Cooper.
The Red Devils were struggling to make any headway and Ferguson made a triple substitution before the hour mark with Patrice Evra, Michael Carrick and Alan Smith replaced by Ryan Giggs, Paul Scholes and Cristiano Ronaldo.
Ferguson backed Rooney to reach the 30-goal mark for the first time this season and feels his recent goalscoring form has taken him to a new level.
The actors tweeted a photo of themselves in the elevator, and Ferguson also posted a short video at the 35-minute mark of the whole elevator shouting "Get us out!"
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Former Manchester City boss Mark Hughes, Stoke assistant boss Peter Reid, former Peterborough coach Darren Ferguson, ex-Wigan manager Paul Jewell and former West Ham boss Alan Curbishley have also been suggested as possible candidates.
Simpson was originally signed by Ferguson, but made his Posh debut as a late substitute in Mark Cooper's first game in charge at Sheffield United.
Newry's Stephen Ferguson also went close in the first half while Timmy Adamson and Mark McAllister were off target for Dungannon in a first half largely bossed by the visitors.
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