Dissolve the yeast in the cool water and milk with a spoon of sugar and 2-3 tablespoons of white flour. Mix well and leave it in a warm area for 15 minutes. Then add the honey, salt, oil, and the two types of flour gradually.
Knead a smooth elastic dough and divide it into two parts. Roll each part into a rectangle, brush it with melted butter and roll them up into rolls.
In a buttered tray, wrap the two rolls together into a snail shell shape. Cover with a damp cloth and let it rise in a warm place until doubled in volume.
Optionally, sprinkle it with seeds of some kind. Put the risen pita with whole wheat flour to bake in a moderately heated oven. Optionally, brush the freshly baked whole wheat bread with butter.