Theorem
A theorem is a
mathematical statement that has been
proven to be true. |
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Trigonometry
Trigonometry is the
study of the geometry of triangles -- it's triangle
geometry. |
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Trinomial
A trinomial is a
polynomial with three
terms.
Example:
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Truncate
Truncate is just a
fancy word for cutting something off. |
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Truncated Cube
The
truncated cube is created by truncating (cutting
off) the tips of the
cube one
third of the way into each edge.
Properties of the truncated cube
14 faces: 8 equilateral
triangles and 6 regular octagons
24 vertices: 2 octagons
and 1 triangle
36 edges
Dihedral angle:
about 125.67 degrees for
the oct-tri angle
and 90 degrees for the oct-oct angle
For more info about
Platonic solids, check out my
Platonic solids gallery. |
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Truncated Cuboctahedron
The
truncated cuboctahedron is created by truncating
(cutting off) the
cuboctahedron one
third of the way into each side.
Properties of the truncated cuboctahedron
26 faces: 12 squares, 8 regular hexagons and 6 regular
octagons
48 vertices: 1 square,
1 hexagon and 1 octagon
72 edges
Dihedral angle:
135 degrees for the
oct-sqr angle, about 125.27 degrees
for the oct-hex angle and about 144.73 degrees for
the
hex-sqr angle
For more info about
Platonic solids, check out my
Platonic solids gallery. |
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Truncated Dodecahedron
The
truncated dodecahedron is created by truncating
(cutting off) the tips of the
dodecahedron one
third of the way into each edge.
Properties of the truncated dodecahedron
32 faces: 20 equilateral triangles and 12 regular
decagons
60 vertices: 2 decagons
and 1 triangle
90 edges
Dihedral angle:
about 116.57 degrees for
the dec-dec angle and
about 142.62 degrees for the dec-tri angle
For more info about
Platonic solids, check out my
Platonic solids gallery. |
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Truncated Icosahedron
The
truncated icosahedron is created by truncating
(cutting off) the tips of the
icosahedron one
third of the way into each edge.
Properties of the truncated icosahedron
32 faces: 12 regular pentagons and 20 regular hexagons
60 vertices: 2 hexagons
and 1 pentagon
90 edges
Dihedral angle:
about 138.183 degrees for
the hex-hex angle and
about 142.62 degrees for the hex-pent angle
For more info about
Platonic solids, check out my
Platonic solids gallery. |
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Truncated Icosidodecahedron
The
truncated icosidodecahedron is created by truncating
(cutting off) the
icosidodecahedron
one third of the way into each side.
Properties of the truncated icosidodecahedron
62 faces: 30 squares, 20 regular hexagons and 12
regular decagons
120 vertices: 1 square,
1 hexagon and 1 decagon
180 edges
Dihedral angle:
about 148.283 degrees for
the dec-sqr angle,
about 142.62 degrees for the dec-hex angle and
159.1 degrees for the hex-sqr angle
For more info about
Platonic solids, check out my
Platonic solids gallery. |
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Truncated Octahedron
The
truncated octahedron is created by truncating
(cutting off) the tips of the
octahedron one
third of the way into each edge.
Properties of the truncated octahedron
14 faces: 6 squares and 8 regular hexagons
24 vertices: 2 hexagons
and 1 square
36 edges
Dihedral angle:
about 125.27 degrees for
the sqr-hex angle,
about 109.46 degrees for the hex-hex angle
For more info about
Platonic solids, check out my
Platonic solids gallery. |
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Truncated Tetrahedron
The
truncated tetrahedron is created by truncating
(cutting off) the tips of the
tetrahedron one
third of the way into each edge.
Properties of the truncated tetrahedron
8 faces: 4 equilateral triangles and 4 regular hexagons
12 vertices: 2 hexagons
and 1 triangle
18 edges
Dihedral angle:
about 70.53 degrees for
the hex-hex angle,
about 109.47 degrees for the hex-tri angle
For more info about
Platonic solids, check out my
Platonic solids gallery. |
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