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Begin by drawing a single hexagon of the size you will need in a graphics editor, making it as perfectly symmetrical as you can. Use geometry or trigonometry to figure out how to do this. Use this hexagon as a brush to draw a row of eight hexagons, letting shared sides overlap. Place seven rows above this one, increasing the width by one hexagon each time. Again, let any shared sides overlap. Place seven more rows above this one, but decrease the width by one each time, such that the last row will have eight hexagons again. Make sure that all rows are centered. Then color the spaces appropriately with three different colors.