Set your oven to 350°F (175°C) and prepare three 8-inch cake pans by greasing them.
Cream together the butter and sugar until it is light and fluffy. Gradually add the eggs and the vanilla extract.
Combine the flour, baking powder, and salt. Then, pour in the dry mixture and the milk, alternating as you go.
Set aside 1 cup of batter; then stir in cocoa into one 1/2 cup and color another 1/2 cup.
Using circle cutters, divide each pan into four concentric rings, or use piping to form rings.
For every pan, continue the pattern of layering rings in a checkerboard formation with colors alternating between neutral then colored.
Frost in layers, level, then cool for 10 minutes. Bake for 25 to 30 minutes
Frost on all plain things conceals the colors. Slice to expose the checkerboard.