The movements in the last section of Zhongji Huawu Fan are listed below, and I’ve made a PDF of the whole thing. Meanwhile, I have come across a video of Amin Wu doing a beautiful short (9-step) fan form (in an exceptionally beautiful Tai Chi uniform!). The form doesn’t start until about the one-minute mark, and it lasts only a minute.

The proper name of Huawu fan is 中級華武四十二式太極扇:  Zhōngjí huá wǔ sìshí èr shì tàijí shàn (Mid-level Huawu 42-style Tai Chi Fan). Huá means flowery or magnificent; Wǔ means martial. Here’s a great article about Grandmaster Zeng (who created Huawu Fan) from KungFuMagazine.com

By the way, I have found a great way to type Pinyin–visit Pinyintones.com. It’s a keyboard input feature that is easily turned off and on by toggling the language band icon on the task bar. When it’s turned on, you can type (for example) zhu1 for the long accent (zhū), Ye2 for the rising accent (Yé), shou3 for the down-up accent (shǒu), and fen4 for the falling accent (fèn).

Huawu fan section four:

33. 野马跳涧 Yé mǎ tiào jiàn: Wild Horse Leaps the Ravine
34. 狮子托珠 Shīzi tuō zhū: Lion Holds a Pearl
35. 骏马奋蹄 Jùnmǎ fèn tí: Noble Steed Raises its Hoof
36. 金鸡抖翎 Jīn jī dǒu líng: Golden Rooster Shakes its Tail Feathers
37. 太公钓鱼 Tàigōng diào yú: Great Grandfather Goes Fishing
38. 雄鹰展翅 Xióngyīng zhǎn chì: Eagle Spreads Wings
39. 飞凤回首 Fēi fèng huíshǒu: Flying Phoenix Turns Head
40. 游龙戏水 Yóu lóng xì shuǐ: Wandering Dragon Plays in the Water
41. 仙女指路 Xiānnǚ zhǐlù: Spirit Woman Shows the Way
42. 收势 Shōu shì: Closing Form

And here is the printable list of all 42 movements: huawufan (PDF).