Remove the core from a head of cabbage and shred it using a mandolin. Use the middle setting. Do not shred the cabbage too fine.

In a large bowl, whisk together the oils, vinegar, and sugar. Add the cabbage, almonds, and sesame seeds. Mix to combine. Season with salt and pepper to taste.

Let the vinegar chill in the fridge for at least an hour. It does taste best if you let it sit overnight.