A rounded, solid wooden or hollow aluminum bat. Wooden bats are traditionally made from ash wood, though maple and bamboo is also sometimes used. Aluminum bats are not permitted in professional leagues, but are frequently used in amateur leagues. Composite bats are also available, essentially wooden bats with a metal rod inside. Bamboo bats are also becoming popular.

Four historically significant baseball bats showcased in the National Baseball Hall of Fame's traveling exhibit "Baseball As America". From left to right: bat used by Babe Ruth to hit his 60th home run during the 1927 season, bat used by Roger Maris to hit his 61st home run during the 1961 season, bat used by Mark McGwire to hit his 70th home run during the 1998 season, and the bat used by Sammy Sosa for his 66th home run during the same season.
Next, third base fungo hits to left, who throw to second, SS cuts (make a few of these the "cut off a double on a ball hit into the corner" variety - timing becomes important here, as the other fungo needs to hit many fewer balls than the fungo hitting to left). First base fungo hits to right, who come home, first baseman is cutoff, 60' from home (about pitchers mound - this postitioning puts him out of harms way should the SS overthrow second). On the throws home from right, make sure that they are the "normal" kind - hit the cutoff man, and don't hit too many. The right fielders will get to go again, as they're last throws will be the "do-or die" variety.
Fungo bats have been around since the beginning of baseball and as most of us may know, baseball was said to be invented by Abner Doubleday in Cooperstown, New York during the summer of 1839. Since fungo bats were much easier to swing and gave off a ton of pop, they were almost seen as cheating back in the day. In a book from 1897 named "The Technical Terms of Baseball," the sportswriter Henry Chadwick stated,"The weakest batting is shown when the batsman indulges in fungo hitting." It wasn't until baseball bat regulations came around that fungo bats were only used by coaches and parents. 
A fungo bat is a specially designed bat used by baseball and softball coaches for practice. The etymology of the word fungo ( /ˈfʌŋɡoʊ/) is uncertain, but the Oxford English Dictionary suggests it is derived from the Scots fung: to pitch, toss, or fling.[26] A fungo is longer and lighter than a regulation bat, with a smaller diameter. The bat is designed to hit balls tossed up in the air by the batter, not pitched balls.[27] Typical fungo bats are 35 to 37 inches (89 to 94 cm) long and weigh 17 to 22 ounces (480 to 620 g). Coaches hit many balls during fielding practice, and the weight and length allow the coach to hit balls repeatedly with high accuracy. The small diameter also allows coaches to easily hit pop-ups to catchers and infielders along with ground balls due to better control of the barrel of the bat.
It is not clear why pregame infield fell out of favor in the majors. Today, coaches hit balls to infielders and outfielders during batting practice. Most players go at it leisurely, lobbing balls back in or across the diamond. That rankles old-school players like Jerry Kindall, a former major league infielder who coached Arizona to three N.C.A.A. titles before retiring in 1996.
It is not clear why pregame infield fell out of favor in the majors. Today, coaches hit balls to infielders and outfielders during batting practice. Most players go at it leisurely, lobbing balls back in or across the diamond. That rankles old-school players like Jerry Kindall, a former major league infielder who coached Arizona to three N.C.A.A. titles before retiring in 1996.

Both wooden and metal alloy (generally aluminum) bats are generally permitted in amateur baseball. Metal alloy bats are generally regarded as being capable of hitting a ball faster and farther with the same power. However, increasing numbers of "wooden bat leagues" have emerged in recent years, reflecting a trend back to wood over safety concerns and, in the case of collegiate summer baseball wood-bat leagues, to better prepare players for the professional leagues that require wood bats. Metal alloy bats can send a ball towards an unprotected pitcher's head up to 60 ft 6 in (18.44 m) away at a velocity far too high for the pitcher to get out of the way in time. Some amateur baseball organizations enforce bat manufacturing and testing standards which attempt to limit maximum ball speed for wood and non-wood bats.[17][18][19]

One of the major advantages of wood fungo has to do with the feel of your hands. While the metal ones feature a conventional metal bat knob, their wood counterparts usually come in 2 knob designs. The conventional metal-bat style knob is excellent for folks whose hands are sweaty. The flared knob is amazing for those that do not want the knob beating their hand’s bottom which is uncomfortable during practice.
Even in those formative years, authorities on the game warned the practice of hitting fungoes should be limited to coaches. Henry Chadwick, one of baseball’s earliest proponents, claimed “The weakest batting is shown when the batsmen indulges in fungo hitting,” according to the Art of Batting. Others agreed that the practice was bad for training a batter’s reflexes: “While watching some of our freshmen practicing ‘fungo’ batting the other afternoon it occurred to me that it was about the worst kind of practice a batsman could imagine in training his eye in batting,” a writer claimed in the March 3, 1886 edition of The Sporting Life. “It trains the eye to meet the ball in batting it in a manner which never occurs in actual play. It ought to be prohibited on every well regulated ball field.”
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