Zhongji Huawu Fan is a beautiful 42-step fan form created by Chinese national martial arts coach Zeng Nai Liang and Hu senior lecturer Wei Xianglian.

Above, Sing May Chen performs Chang’e (Moon Goddess) Flies to the Moon. The form is also called 42-step Fan.
Here are three demonstration videos:
[Since publishing this post I’ve found teaching videos by Master Zeng–see Huawu Fan Review for the links.–EB]
I first learned this form from a friend from Beijing who used to join my neighborhood practice group on the weekends. When I learn a new form, I always want to know the correct names of the movements. In this case, arriving at a list was a challenge. I started with the list at the beginning of a video. But I couldn’t just copy the text, because all I had was an image.

I found a (somewhat loosely translated) English list. Using that, the voiceover of the video, Google translate, and the MDBG online dictionary (which allows me to draw a character if I can get the order of the brushstrokes right), I have arrived at a list of the moves.
Here is a printable list of the names of the 42 movements: huawufan [PDF]
There are actually two forms: a primary level form and a mid-level form. It is the latter that I practice. Huá means flowery or magnificent; Wǔ means martial. The Chinese names of the forms are:
初级华武扇初级 Chūjí Huá Wǔ Shàn (Primary-level Hua Wu Fan)
中级华武扇 Zhōngjí Huá Wǔ Shàn (Middle-level Hua Wu Fan)
Zhongji Hua Wu Shan is a combined form, with elements of the four main styles (Yang, Chen, Wu and Sun). The opening to this form is clearly Sun-style.
A couple of names of movements are particularly interesting. #4, 推波助澜 Tuī Bō Zhù Lán, Push the Waves even Higher, is a saying that means something like the English “Add fuel to the fire.” #29, 贵妃醉酒 Guìfēi zuìjiǔ (sounds like gway fay djway joe), The Drunken Beauty, is the name of a well-known Qing Dynasty Beijing opera.

And here she is, the Drunken Beauty, reeling away in Huawu fan:

That is Master Zeng’s daughter in back view; here’s the video: https://www.youtube.com/watch?v=RCK2lLQlIqA
Like many other fan forms, this one includes a number of names familiar from sword forms, with the fan movements mimicking swordplay. And where the sword forms feature Xianren, the Immortal, the fan form names Xiannu, the Spirit Woman.