10. (12 points) As shown in the figure, each side of the regular octagon is 16 cm long. Using the 8 sides of the regular octagon as the hypotenuses, 8 isosceles right triangles are drawn inward. Then, the vertices of the 8 isosceles right triangles are connected in sequence, forming a new regular octagon inside. Therefore, the difference in area between the blank part and the shaded part in the figure is $\qquad$ square centimeters.
10. (12 points) As shown in the figure, each side of the regular octagon is 16 cm long. Using the 8 sides of the regular octagon as the hypotenuses, 8 isosceles right triangles are drawn inward, and then the vertices of the 8 isosceles right triangles are connected in sequence, forming a new regular octagon inside. Therefore, the difference in area between the blank part and the shaded part in the figure is $\qquad$ square centimeters.

【Solution】Solution: According to the analysis, draw auxiliary lines as shown in the figure below. Clearly, two adjacent shaded areas are located in a rectangle, so the 8 shaded areas are located in 4 rectangles, and according to the "half model", it is known that the shaded area and the blank area in each rectangle are equal,

Therefore, the total blank area is more than the total shaded area by the middle square and the 4 isosceles right triangles on the sides, and these 4 isosceles right triangles can form a square with a side length of 16, so the difference in area between the blank and shaded parts $=16^{2} \times 2=512$ (square centimeters). Therefore, the answer is: 512.