What's an Icosohedral with a Triangulation Number of 16 and/or 19 look like?
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Here are some links. I hope they help. In the first one look at the Herpes Simplex Virus, that is the one that is T=16. With the Herpesvirus a lot of the proteins are in the tegument.  I don't know of any links for T=19. Good luck.\n\nhttp://www.pnas.org/cgi/content-nw/full/101/44/15549/FIG1
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20\n\n 12 edges and 8 vertices
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eight. octa= eight (ex: octopus- eight legs, octagon- eight sides)
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2 cubes have 16 corners (since each cube has 8 corners)\n\na cylinder doesn't have any corners
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looks like the vertex is (-5, 3)
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Zeroth dimension = point\nFirst dimension = line\nSecond dimension = square\nThird dimension = cube\nFourth dimension = tesseract\nFifth dimension = decateron\n\nThe rests have names (I've lost the website), but what you are listing is the names of polygons (at least after the tesseract), all two-dimensional objects.\n\nA two dimensional object with:\n3 sides = triangle\n4 sides = square\n5 sides = pentagon\n6 sides = hexagon\n7 sides = heptagon\n8 sides = octagon\n9 sides = nonagon\n10 sides = decagon\n\nSee the below for the construction of the rest of the names:
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sphere, cube, pyramid, cilinder
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Fractals\n\nTake the serpenti carpet, for example. This tesselation is derived first from a square the square has its middle section taken out creating 8 new, smaller squares. This process is repeated to infinity. It is a tesselation because it is a repeated pattern. The math aspect is this:\n\nEach time we take out the middle ninth, thus leaving 8/9 of what we started with. If we continue the process infinitely, the area will be 1 square unit * (8/9)^infinity, or 0. However, the shape still exists in a 2-D plane. This explanation only scratches the surface. If you're interested, check out wikipedia, mathworld, or simply google tesselation, serpenti carpet, cantor dust, tesselation, and even the Koch Curve. If your REALLY interested you might want to check out "To Infinity and Beyond: A cultural HIstory of the infinite." You can find it on amazon, and it will give the readers digest, don't need to be a math major version of everything about tesselations.
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12 dodecagon \n13 triskaidecagon or tridecagon \n14 tetrakaidecagon or tetradecagon \n15 pendedecagon \n16 hexdecagon \n17 heptdecagon \n18 octdecagon \n19 enneadecagon \n20 icosagon
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From what we understand right now, it seems to be infinite. However, a year or two ago, there were some scientists that claimed evidence that it is actually a large icosahedron that repeats. Their evidnece has not withstood more tests, though.
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It's triangular!  That's what it looks like under a STM.
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6 faces, 12 edges, 8 vertices
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F = 12\nV = 20\nE = 30\n\nEulers rule says F + V = E + 2\n\nIts dual is the icosahedron where F = 20 V = 12 and E = 30
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The most popular atomic geometries are Linear, Trigonal Planar, Octahedral and Tetrahedra.\n\nI've added a link to a visualization program, though I couldn't get the plug-in to work.
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Triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, decagon
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XeF4 - square planar (Octahedral geometric family)\nTeF4 - see-saw (Trigonal Bipyramidal geometric family)\nSeCl2 - linear (linear geometric family)
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Euler's formula for any polyedra claims that\n\nEuler characteristic χ = V − E + F = 0 for anchor ring.\nHere V is a number of vertices,\nE - number of edges,\nF - number of faces.\n\nIn this task F=12, V=15.\nE = V + F = 27.\n\nSo, the answer is 27.