Axioms, Journal Year: 2023, Volume and Issue: 12(10), P. 989 - 989
Published: Oct. 19, 2023
In this paper, we have parameterized a timelike (Tlike) circular surface (CIsurface) and obtained its geometric properties, including striction curves, singularities, Gaussian mean curvatures. Afterward, the situation for Tlike roller coaster (RCOsurface) to be flat or minimal is examined in detail. Further, illustrate approach’s outcomes with number of pertinent examples.
Language: Английский
Mathematics, Journal Year: 2023, Volume and Issue: 11(16), P. 3495 - 3495
Published: Aug. 13, 2023
In this paper, we obtain the necessary and sufficient conditions of a surface pencil pair interpolating Bertrand as common asymptotic curves in Euclidean 3-space E3. Afterwards, conclusion to ruled is also obtained. Meanwhile, epitomes are stated emphasize that proposed methods effective product manufacturing by adjusting shapes pair.
Language: Английский
Citations
5
Axioms, Journal Year: 2023, Volume and Issue: 12(7), P. 649 - 649
Published: June 29, 2023
Dual representations of the Bertrand offset-surfaces are specified and several new results gained in terms their integral invariants. A description offsets developable surfaces is given. Furthermore, relationships through striction curves ruled invariants obtained.
Language: Английский
Citations
4
Symmetry, Journal Year: 2024, Volume and Issue: 16(2), P. 235 - 235
Published: Feb. 15, 2024
In this paper, we investigate and specify the Bertrand offsets of slant ruled developable surfaces in Euclidean 3-space E3. This is accomplished by utilizing symmetry curves. As a consequence this, present parameterization for any surfaces. addition to monarchies these assign them their own unique classification. Also, illustrate some examples
Language: Английский
Citations
1
Symmetry, Journal Year: 2023, Volume and Issue: 15(7), P. 1440 - 1440
Published: July 18, 2023
The main result of this paper is constructing a surfaces family with the similarity Bertrand curves in Euclidean 3–space E3. Then, by utilizing Serret–Frenet frame, we conclude sufficient and necessary conditions interpolating as common asymptotic curves. Consequently, expansion to ruled also depicted. As implementations our results, demonstrate some examples confirm method.
Language: Английский
Citations
2
Symmetry, Journal Year: 2023, Volume and Issue: 15(11), P. 1986 - 1986
Published: Oct. 27, 2023
The main outcome of this work is the construction a surface pencil with similarity to Bertrand curves in Euclidean 3-space E3. Then, by exploiting Serret–Frenet frame, we deduce sufficient and necessary conditions for as joint curvature lines. Consequently, expansion ruled also designed. As demonstrations our essential findings, illustrate some models emphasize process.
Language: Английский
Citations
1
Frontiers in Physics, Journal Year: 2024, Volume and Issue: 12
Published: Dec. 5, 2024
In
this
work,
we
investigate
the
synthesis
problem
of
slant
spacelike
ruled
surfaces
and
associated
Bertrand
offsets
Language: Английский
Citations
Axioms,
Journal Year:
2023,
Volume and Issue:
12(10), P. 989 - 989
Published: Oct. 19, 2023
In
this
paper,
we
have
parameterized
a
timelike
(Tlike)
circular
surface
(CIsurface)
and
obtained
its
geometric
properties,
including
striction
curves,
singularities,
Gaussian
mean
curvatures.
Afterward,
the
situation
for
Tlike
roller
coaster
(RCOsurface)
to
be
flat
or
minimal
is
examined
in
detail.
Further,
illustrate
approach’s
outcomes
with
number
of
pertinent
examples.
Language: Английский
Citations
On the Timelike Circular Surface and Singularities in Minkowski 3-Space