Taiwanese Cold Noodles with Sesame Dressing (Liang Mian)

Ingredients

• 0.56 lb Kuan Miao thin noodle or Angle Hair Pasta
• 1.5 unit English Cucumber
• 1.5 unit Carrot
• 8 unit egg
• 1 tsp chili oil (optional)
• 0.62 cup Chinese sesame paste
• 1 tbsp sesame butter
• 3 tbsp soy sauce
• 0.25 cup sesame oil
• 0.67 tbsp brown sugar
• 0.31 cup water
• 2 tbsp rice vinegar