I believe the southern styles of Gong fu are probably the most popular in the west, due to the influx of immigrants from that area of China, i.e. Guangdong (Canton) and Fujian provinces, via Hong Kong. As well as Southern Shaolinquan (Fist of Shaolin Temple)
The Northern Systems are becoming more popular now as a result of more reputable teachers from Mainland China coming to the west.
Styles of shaolin branch (Sil Lum in Cantonese):
Shaolinquan (Fist of Shaolin Temple)
Digong lohanquan (ground-fighting branch of lohanquan)
Xiuquan (fist of the best)
Shaolin shisanzhua (13 claw-strikes of Shaolin)
Shaolin ershisi pao (24 cannon strikes of Shaolin)
Shaolin wuxing bafa quan (Shaolin fist of 5 forms and 8 methods)
Xinyiba (grabbing the heart and mind)
Shaolin chanmen (Chan's gates of Shaolin)
Fohanquan
Styles of Fujian province:
Youngchunquan (Wing Chun)
Gouquan (dog style)
Huzunquan (tiger style)
Longzunquan (dragon style)
Hequan (crane style)
Lohanquan (fist of arhats)
Taizuquan (fist of Zhao Kuangyin emperor)
Houquan (monkey style)
Wuzongheyangquan (fist of five ancestors and teacher He Yang)
Shezuquan (fist of She nationality)
Styles of Guangdong (Canton) province:
Cailifoquan (Choy Lay Fut)
Hongjiaquan (Hung Gar)
(fist of Hong family)
Liujiaquan (fist of Liu family)
Lijiaquan (fist of Li family)
Caijiaquan (fist of Cai family)
Mojiaquan (fist of Mo family)
Hongfoquan (fist of Hong and Buddha)
Zhoujiaquan (fist of Zhou family)
Hongtou caiwei (head of Hong, tail of Cai)
Caimoquan (fist of Cai and Mo)
"Inner" styles:
Tajiquan (Fist of Great Ultimate)
Baguazhang (Palm of Eight Trigrams)
Xingyiquan (Fist of Form and Mind)
Wenshenquan
Dachengquan (fist of Great achievement), or Yiquan (fist of mind)
Liuhebafaquan
Northern styles:
Paochui (Cannon fist)
Chuojiao (Thrusted-in feet)
Fanziquan (Rotating fist)
Huaquan (Blossom fist)
Huaquan ("Fist of Valuables" or "fist of Hua Zong")
Meihuazhuang (Pillars of Meihua Plum)
Yingzhaoquan (eagle's claws style)
Tongbeiquan (Fist of spreading power from the back)
Shuihuquan (Fist of "Water margin")
Yanqingquan (Fist of Yan Qing), also known as mizongquan (Fist of lost track)
Zhangjiaquan (Fist of Zhang family)
North-Western styles:
Bamenquan (Fist of eight gates)
Shijiaquan (Fist of Shi family)
Gaojiaquan (Fist of Gao family)
North-Eastern styles:
Tanglangquan (Fist of Praying Mantis)
Santongquan (Fist of three Tongs)
Sunbinquan (Fist of general Sun Bin)
Boziquan (Fist of lame man)
Styles of Jingwu Assotiation:
12 rouitnes of tantui
Mizong luohanquan
Wudang styles:
Kongmenquan (fist of empty gates)
Yumenquan (fish fist)
Taiyi wuxing qinpu (grappling of five elements and Great One)
Jiugong shibatui (18 legs of nine palaces)
Emei styles
Regards,
Sanxiawuyi
The Kenpo Exchange
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