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Three-dimensional hyperboloid model
(
H
3
)
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Geometry and topology
Hyperbolic geometry
Hyperboloid model
2026-09-29
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The three-dimensional
hyperboloid model
is
H
3
=
{
x
∈
R
4
:
x
T
M
x
=
−
1
,
x
0
>
0
}
,
M
=
diag
(
−
1
,
1
,
1
,
1
)
.
(1)
It is
a
regular
level set
with
T
x
H
3
=
{
v
∈
R
4
:
x
T
M
v
=
0
}
.
(2)
Ancestors
(6)
Hyperboloid model
Hyperbolic geometry
Geometry and topology
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 1
/
26I
/
b
/
Solution
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