ine">\((0.3,0.7)\)</span> and
<span class="math inline">\((0.99,0.01)\)</span> lie on the line. In 3-dimensions, the basis is
<span class="math inline">\((0,0,1)\)</span>, <span class="math inline">\((0,1,0)\)</span> and <span class="math inline">\((1,0,0)\)</span> and the unit 3-simplex is the
boundary and interior of the triangle with these vertices. Points in
the 3-simplex include <span class="math inline">\((0.5,0.5,0)\)</span>, <span class="math inline">\((0.2,0.7,0.1)\)</span> and all other
triplets o