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V=14 Tetrakis hexahedron Images: A critical points scheme for Generating uniformly distributed points on a sphere
Yazar:
Roman Chijner
Konu:
Cebir
,
Kalkulüs
,
Çember
,
Diferansiyel Hesap
,
Denklemler
,
Geometri
,
Fonksiyon Grafiği
,
Kesişim
,
Matematik
,
Küre
,
Yüzey
,
Vektörler
A system of points on a sphere S of radius R “induces” on the sphere S
0
of radius R
0
three different sets of points, which are
geometric medians (GM)
-local
maxima
,
minima
and
saddle
points sum of distance function f(x). The angular coordinates of the spherical distribution of a system of points -
local minima
coincide with the original system of points.
Distribution of points Pi
,
test Point
,
Max
/
min
/
saddle
-
Critical points
on a sphere. Vectors ∇f and ∇g at these points. max:
n=14
min:
n=12
sad:
n=24
Two-variable function f(φ,θ) over a rectangular region: - π ≤φ ≤ π; -π/2≤θ≤π/2.
Isolines and Intersection points of implicit functions over a rectangular region: - π ≤φ ≤ π; -π/2≤θ≤π/2.
Critial Points, Intersections
Critial Points
a,b,c Typen Rhombicuboctahedron
Yeni Kaynaklar
Piano. Keyboard.
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Drag that Point!
Teorema Japonês para quadriláteros inscritos em uma circunferência
"Compressed" Astroid as Envelope
Kaynakları Keşfet
Instantaneous acceleration 2
Quiz: Subtracting Integers
Can you make it blue?
Faces/Edges/Vertices of a CUBE (or square prism)
Two Arm Spirograph with Bule Star
Konuları Keşfet
Paralelkenar
Türev
Logaritma
Kare
Kesirler