It's hard to believe that all of a hippo's grand dentition fits neatly up into its albeit fat head, but it does. Those immense, curved lower canines actually tuck right into pockets between the skull and the outside of it's muzzle, making the spectacle of multi-directional enamel shown above (a yawning pygmy hippo) visible only when the mouth is agape. Hippos use their slightly crazy front teeth (incisors and canines) primarily for posturing and battling with each other, though they do have 20 some-odd premolars and molars in the back that are used for grinding up their grass-based diet. And just like the tusks (modified teeth protruding out of the mouth/head) of mammals such as elephants, walruses, wild boars, and narwhals, hippo canines continue to grow throughout the animal's life, and, on account of their size and consequent commercial value, have historically been a sought after source of ivory (the term for dentine - the material just under the enamel, or "bark", of mammalian teeth/tusks). The fact that hippo canines and incisors do not extend outside of the mouth prevents them from falling into the traditional category of tusks, though in all other ways, they fit the bill.
Humans have harvested ivory and prized it's qualities as a lustrous carving material for thousands of years. The Inuit are known for their scrimshaws using whale and walrus teeth; peoples in India, China, and throughout the Far East used the tusks of Indian (and African) elephants to make everything from simple buttons to impossibly ornate artworks; and cultures the world over have consistently maintained a taste for the heavily traded (up until the CITES agreement of 1975) "white gold" of African elephants - to the tragic detriment of the species. Today the word "ivory" is largely synonymous with elephants - purists often refer to it as "true" ivory to distinguish it from any other animal ivory; rarely, if ever, does one think of the ivory of the humble hippo as being much of a commodity - despite the fact that it has historically come in second to elephant ivory in quantity of use, and was once considered one of the most desirable materials for the fashioning and development of a very common prosthesis - the denture.
The first dental bridges (precursors to dentures) were created by the Etruscans as far back as 500BC - they used simple but very effective designs consisting of loops of gold, connected to natural human teeth, to fill gaps in a patient's smile. Later civilizations experimented with other materials like wood, metals, bone, and ivory, though false teeth were more of a rarity than a norm right up until the 18th century, when a period of rampant tooth loss extended throughout Europe, and across the pond in North America, due to disease, poor diet and dental hygiene, and even toxic medical treatments that deteriorated tooth enamel. In the 1700s, facilitated by new fabrication techniques, and spurred by great demand (via large populations of people with agonizing and constant tooth pain, gummy lisps, and horrid breath) dentistry as a practice finally came into it's own, and among other advancements, the concept of "dentures" was born. Half dentures commonly just replaced lower teeth (using gravity to keep the base in place), but full dentures consisted of complete upper and lower teeth sets, joined by wire and spring hinges; they combined fine craftsmanship with technical detail, to the extent that many of the "dentists" that created them had previous experience as watchmakers or... ivory-turners. Designs varied widely, were constantly upgraded, and utilized a variety of mediums, though by far one of the most consistently used materials was ivory. As a solidly carved unit, individually fashioned teeth, or just the base to which other, often human*, replacement teeth were affixed, ivory proved an exceedingly popular choice for dentures - though not all ivories are created equal, and in this case, the humble hippo had an advantage.
*Just where were all those human replacement teeth coming from? Cadavers, executed criminals, and surprising numbers of Waterloo teeth.

(Above, clockwise from top left: mammoth (left) and elephant (right) ivories showing distinctive Schreger lines (from the U.S. Fish and Wildlife Service Forensics Lab website, which contains many more images of ivory diagnostics); a cross-section of fossilized walrus tusk, making both dentine types clearly visible; and a pair of dice made of mammoth ivory, clearly showing Schreger lines.)
The chemical makeup of ivory, the substance of dentine, is consistent across species, though density and growth patterns resulting in structural differences are unique from walruses, to warthogs - even between elephants and their extinct siblings, the mammoths and mastodons. For example: walrus ivory is the only ivory to contain two distinct forms of dentine - a smooth outer layer, inside which is a mottled texture resembling rice pudding; narwhal ivory is entirely hollow and it's exterior striped with gently twisting vertical lines; cross-sectioned elephant ivory is marked by what are known as Schreger lines (a naturally occurring moire pattern, also known as "engine turning"); and hippo ivory? Hippos just happen to have some of the hardest, smoothest, most evenly textured and bright ivory of them all - more so even than that of the beloved elephant. Hippo ivory is also more resistant to staining and decay than elephant ivory - a critical trait when considering the bacterial challenges inside of a human mouth. An extremely dense form of dentine, surrounded by unusually tough enamel (tough enough to produce sparks from a bandsaw), hippo ivory is also a challenge to carve, so while it made a fitting match for denture modeling, it did not have the same broad appeal for artists that other, more gently worked ivories cultivated.
It has recently been discovered that the most storied set of dentures in all of history - George Washington's famous "wooden teeth" - were in fact not made of wood at all, but (in large part) hippo ivory! As finely crafted as they were, dentures of the mid to late 18th century were still archaic by modern standards and their somewhat clumsy fit often required regular tune-ups, repairs (especially to the fine wire or thread that connected tops and bottoms), or total replacement; Washington had at least four sets of false teeth, of varying materials, and he frequently contacted his dentists for assistance with adjustment - even going so far as to request small files so that he could work on them himself. By the time he was inaugurated in 1789, Washington had but one remaining live tooth - the last holdout served as an anchor for a rather beautiful, hand-inscribed, hippo ivory and human teeth denture, crafted by a New York dentist named John Greenwood. When that last tooth fell out, Greenwood had it preserved in a gold and glass charm that he kept on a watch fob of mixed relics and valuable trinkets. And where Washington's tooth - that of one of the most venerated figures in American history - left a vacancy when it migrated to the status of an accessory, alongside gold buttons and carved antler seals, a little piece of a river horse took up it's place and honorable task inside the first president's mouth.

(Above, clockwise from top left: an illustration of how hippo ivory is transformed into dentures {from the BDA website}; an elaborate bottom denture made for president George Washington by dentist John Greenwood in 1789 - human teeth are set into hippo ivory, and clearly inscribed, "Great Washington's Teeth" - notice the circular hole at far right, where Washington's last remaining tooth formed the anchor for the denture {denture on display at Historic Mount Vernon}; a maxillary (top) denture carved entirely of hippo ivory, c. 1760; and a full set of ivory/human teeth dentures, top and bottom connected by wire hinges {also from the BDA})
