Start by placing the bread flour, sugar, and instant yeast into the bowl of a food processor. Pulse for a couple of seconds until they are well combined.
Next, slowly add the ice water through the feed tube while the processor is running. Continue mixing for about 10 seconds, or until the dough starts to come together.
Once combined, let the dough rest for about 10 minutes. This resting period allows the gluten to relax, making it easier to knead.
After resting, add the olive oil and salt to the mix. Process until the dough cleans the sides of the bowl, which should take about a minute.
Remove the dough from the processor and knead it on a lightly oiled surface until it's smooth and elastic. This should take about 5 to 10 minutes.
Shape the kneaded dough into a ball and place it in a lightly oiled bowl. Cover the bowl with plastic wrap and refrigerate for 24 to 72 hours. This slow fermentation process develops flavor.
When you're ready to make your pizza, remove the dough from the fridge and divide it in half. Shape each half into a dough ball and place them on their own oiled baking sheets. Cover these with greased plastic wrap and let them rest for about 1 hour.
Preheat your oven to 500ºF (260ºC) and place a pizza stone inside to heat up for 30 to 60 minutes. This ensures your pizza will have a perfectly crispy crust.
Once the dough has risen and your oven is preheated, pat out the first dough ball into a large circle, about 12 inches in diameter, on a piece of parchment paper.
Top the dough with fresh tomatoes and mozzarella cheese, then season with salt, pepper, and basil strips. Drizzle with a little more olive oil for added flavor.
Using a pizza peel, carefully slide the parchment and pizza onto the hot pizza stone in the oven.
Let it bake for about 12 minutes, or until the crust is golden brown and the cheese is bubbly. Keep an eye on it to ensure it doesn't overcook!