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Contents
List of mathematical shapes
Following is a
list
of some
mathematically
well-defined
shapes
.
Table of contents
1 no D with no surface
2 0D with no surface
3 1D with 0D surface
4 2D with 1D surface
5 3D with 1D surface
6 3D with 2D surface
7 4D with 2D surface
8 4D with 3D surface
9 5D
10 6D
11 7D
12 8+ D
13 Esoteric spaces
no
D
with no surface
empty set
0D with no surface
point
1D with 0D surface
interval
line
2D with 1D surface
Bézier curve
: (As+Bt)
n
| 0≤s≤1 ∧ 0≤t≤1 ∧ s+t=1, A
n
, A
n-1
B, ..., B
n
are vectors
circle
:
x
²+
y
²=r²
ellipse
parabola
hyperbola
plane
polygon
decagon[?]
googolgon
heptagon[?]
hexagon
megagon[?]
nonagon[?]
octagon[?]
pentagon
square
triangle
umdecagon[?]
y=f(x)
:
y
=
f
(
x
)
3D with 1D surface
helix
:
x
=
sin
(
z
) ∧
y
=
cos
(
z
)
lorentz attractor[?]
3D with 2D surface
Bézier triangle
: (As+Bt+Cu)
n
| 0≤s≤1 ∧ 0≤t≤1 ∧ 0≤u≤1 ∧ s+t+u=1, A
p
B
q
C
r
vectors if p+q+r=n and p, q, r are
nonnegative
integers
cylinder
hyperplane
möbius strip
platonic solid
dodecahedron
hexahedron
(cube)
icosahedron
octahedron
tetrahedron
torus
quadric
cone
cylinder
ellipsoid
spheroid
sphere
hyperboloid
paraboloid
sphere
4D with 2D surface
klein bottle
4D with 3D surface
hypersphere
polychoron
hecatonicosachoron[?]
hexacosichoron[?]
hexadecachoron[?]
icositetrachoron[?]
pentachoron[?]
(
simplex
)
tesseract
5D
6D
7D
8+ D
Esoteric
spaces
Don't know if this has a name[?]
: <math>\int_{-\infin}^{\infin}f^{2}(x)dx=r^2</math>
wormhole
See also:
List of mathematical topics
wikipedia.org
dumped 2003-03-17 with
terodump