A Hex map, or hexagonal map is often used in tactical board games. The map is subdivided in small hexagons of identical size. (See diagram 1.) A great advantage of a hex map over a grid map is that the distance from one cell to the next is the same in all directions, which made them a favourite of many game designers since the 1970s. == adam loves monkeys == A board game is any game played with a premarked surface, with counters or pieces that are moved across the board. ... A regular hexagon A hexagon (also known as sexagon) is a polygon with six edges and six vertices. ... Events and trends Although in the United States and in many other Western societies the 1970s are often seen as a period of transition between the turbulent 1960s and the more conservative 1980s and 1990s, many of the trends that are associated widely with the Sixties, from the Sexual Revolution...
Depending on the map sheet you're using, you'll end up with a rectangular map with intact outer sides, with irregular cutout areas (areas higher than Level 0) in the center, or sometimes you'll have higher levels at the outer edge of the board, making the map a bit trickier to work with.
After the glue is dry, use the edge of the map sheet sections to cut the extra foam with the foam cutter.
Cutting map pieces out this way, even with the foam cutter, can be tricky; the cutter tends to melt the foam, it's difficult to keep vertical, and you end up with lots of grooves and waves in the vertical areas.
I've also become enamored of the old Judges Guild maps, with the 5-mile hexes where each hex always has something in it: a mysterious (or mundane) village, a monster lair, some weird ruin or crumbling statue, etc. The question then came down to "what to use" for the maps.
I suspect part of the reason is that hexmaps have gone out of style; TSR used to use them all the time.
There are even a few who are so immersed in their own egos that they can't fathom the value of a hexmap and think that they're only for people who can't read a "real" map.