Kang " Kang " was the name taken by young women living in Paradise Towers . Society . By the time the Seventh Doctor and Mel visited Paradise Towers , there were three denominations of Kang living there , namely Red Kang s , Blue Kang s and Yellow Kang s . Each was only distinguishable by the colour of her hair and clothing , with the three groups adopting the same general mannerisms . Kangs competed against one another , with the ultimate objective being to enter another group ' s brainquarters . Despite this , they never harmed one another . The Kangs were disliked by the Caretakers as they frequently created wallscrawl s . This led to them being nicknamed " wallscrawlers " . The Kangs also performed various dances around certain structures . They carried arrow gun s as their primary weapon , but never used them against one another . Language . The Kangs developed their own language , possibly through consonantal shift . They also varied somewhat on the pronunciation of certain words . The Kangs took the names of various objects as their own , for example , Air Duct and Fire Escape . They greeted one another through a clapping game . Red Kangs frequently spoke the maxim " build high for happiness " , which was the motto of Paradise Towers . History . When war broke out and the men were all conscripted , the Kangs and the Rezzie s were shipped to Paradise Towers . There they became enemies of the Caretakers due to their constant wallscrawling . Each Kang faction had a brainquarters from which they operated during their competitive games against one another . The Kangs lived in fear of the cleaner s who had killed several of their number , leading to the Yellow Kangs being wiped out . Their relationship with the Rezzies also broke down after the Kangs discovered that they had turned to cannibalism and eaten a number of Kangs . When the Seventh Doctor and Melanie Bush arrived at Paradise Towers , the first people they met were the Red Kangs who took a liking to the Doctor ' s clothes , deciding they were " ice hot " . They were wary of Mel , however , as they were unsure of her allegiance . Despite their apparent friendliness , they tried to take the Doctor and Mel captive , but were forced to flee when the Caretakers launched a raid of the Fountain of Happiness Square . Some time later , the Doctor found himself in the Red Kang brainquarters after falling through a hole . He showed them how to use a vending machine and they all began drinking Fizzade . While searching for the Doctor , the Caretakers tracked him to the brainquarters and began breaking down the door . The Doctor told the Kangs to escape while he delayed the attackers and was taken captive . Meanwhile , Mel and Pex met with Blue Kangs who related the story of Pex ' s arrival at Paradise Towers and taunted him for being a coward as he had avoided going to war . They nicknamed him " musclebrain " and " scaredy - cat " . The Red Kangs attacked the Caretaker base and broke into the Chief Caretaker ' s office . There they took the Doctor ' s guards prisoner allowing him to escape . Back at the Brainquarters , the Blue Kangs broke in claiming to have won the game . The Doctor convinced them that they would have to work together to defeat Kroagnon . They agreed and Bin Liner , Fire Escape and Drinking Fountain accompanied him to the basement . There they watched as Kroagnon used corpoelectroscopy to take over the Chief Caretaker ' s body . The Doctor was attacked by a cleaner but the Kangs managed to free him and then flee . They travelled to Floor 304 and allied themselves with the Rezzie s , Caretakers and Pex . They began to respect Pex after he offered to lead Kroagnon into a trap . In preparation they created numerous devices , such as trip wires . However , Pex and Kroagnon arrived too early and the Doctor found himself under attack . Pex sacrificed himself to kill Kroagnon , taking himself , Kroagnon and a stick of explosive down a lift shaft . In his honour , the Kangs held a ceremony and posthumously made him a Kang . As a parting gift , the Doctor was given a scarf that was blue on one side and red on the other , proclaiming him to be an honourary Kang . ( TV : " Paradise Towers " )