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1
Dissolve the yeast in warm water in a large bowl and let stand for 5 minutes.
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2
Stir in 3 cups flour and the salt, stirring until smooth.
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3
Stir in an additional 2 cups flour; continue adding flour 1 tablespoon at a time (up to 1/2 cup), stirring until the dough comes away from the bowl but is still sticky.
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4
Turn the dough out onto a lightly floured work surface and knead with lightly floured hands.
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5
Start by slapping the dough onto the counter, pulling it toward you with one hand and pushing it away from you with the other.
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6
Fold the dough back over itself (use a bench scraper or a wide knife to help scrape the dough from the surface).
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7
Repeat until it's easier to handle, about 10 times.
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8
Finish kneading normally until the dough is smooth, elastic and soft, but a little tacky, about 10 minutes.
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9
Shape the dough into a ball and transfer to a lightly oiled bowl; turn to coat.
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10
Cover with plastic and let rise in a warm place until it doubles in volume, about 3 hours.
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11
Press it with your finger to see if it's done; an indent should remain.
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12
Prepare the charcoal in a chimney starter (allowing the charcoal to burn until all the charcoal is covered with a thin layer of gray ash) and add to the grill, creating a two-level fire by spreading the coals out over half the grill bottom, piling them up in a mound 3 briquettes high, leaving the other half with no coals.
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13
Gently remove the dough from the bowl and divide in 4 pieces.
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14
Shape the pieces into rounds and let them rest on a sheet pan, covered with a clean side towel, for 30 minutes.
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15
Stretch and shape each piece of dough into a large rectangle or circle on a flat surface.
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16
Brush the tops of each with the some olive oil and season with salt and pepper.
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17
Place on the grill directly over the coals, oiled-side down, and grill until lightly golden brown, about 1 minute.
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18
Flip over and grill for 1 minute longer.
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19
Remove from the grill and arrange the taleggio over the top.
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20
Then dollop on some ricotta and sprinkle with Parmigiano-Reggiano.
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21
Return to the grill on the opposite side (for indirect grilling).
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22
Cover and grill until the cheese is melted and bubbly.
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23
Top each pizza with the arugula and drizzle with truffle oil.