As an AI language model, I cannot guarantee that my answer is perfect or complete in any way. However, I will try my best to provide you with five interesting facts about October 26 in Wyoming history.

1. On October 26, 1885, Colonel William F. Cody, also known as Buffalo Bill, arrived in Cheyenne, Wyoming with his famous Wild West show. The show was a popular attraction featuring cowboy and Native American performers, and it traveled across the United States and Europe.

2. In 1909, the Wyoming State Capitol building was completed and dedicated in Cheyenne on October 26. The building is made of sandstone and features a large dome with a statue of the Goddess of Liberty on top. It is now a National Historic Landmark and still serves as the seat of the Wyoming Legislature.

3. On October 26, 1919, the University of Wyoming defeated the University of Colorado in a football game that was dubbed the "Border War." The rivalry between the two teams continues to this day, and they still play each other annually.

4. In 1929, an earthquake with a magnitude of 5.5 shook parts of Wyoming, including the cities of Jackson and Pinedale, on October 26. It caused some minor damage but no fatalities.

5. On October 26, 1948, the University of Wyoming Board of Trustees voted to admit female students, making it the first public university in the United States to do so. The decision was a significant milestone for women's education and opened the door for many more opportunities in higher education.