Stacks Sectors Z (x, y, z) r r-coso cose X 0 r-coso r-coso-sine r-sino Sectors and stacks of a sphere A point on a sphere using sector and stack angles An arbitrary point (x, y, z) on a sphere can be computed by parametric equations with the corresponding sector angle 0 and stack angle . Ꮖ = (r⋅ cos ) cos 0 y = = (r cos) sin r. sin The range of sector angles is from 0 to 360 degrees, and the stack angles are from 90 (top) to -90 degrees (bottom). The sector and stack angle for each step can be calculated by the following; sectorStep Ꮎ = 2π- = 2 sectorCount - π stackStep stackCount

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Can you give me an example of how in OpenGL for C++, and how I can implement physics, of how a sphere is going to be on a plane, and would this work adding gravity and uniform circular motion to the 3D Sphere? (Considering adding gravity and acceleration.)

Basically I would like to know how would you apply physics gravity and uniform circular motion on this 3D sphere, in the context of programming?

Stacks
Sectors
Z
(x, y, z)
r
r-coso cose
X
0
r-coso
r-coso-sine
r-sino
Sectors and stacks of a sphere
A point on a sphere using sector and stack angles
An arbitrary point (x, y, z) on a sphere can be computed by parametric equations with the corresponding sector
angle 0 and stack angle .
Ꮖ
=
(r⋅ cos ) cos 0
y
=
=
(r cos) sin
r. sin
The range of sector angles is from 0 to 360 degrees, and the stack angles are from 90 (top) to -90 degrees
(bottom). The sector and stack angle for each step can be calculated by the following;
sectorStep
Ꮎ
= 2π-
=
2
sectorCount
-
π
stackStep
stackCount
Transcribed Image Text:Stacks Sectors Z (x, y, z) r r-coso cose X 0 r-coso r-coso-sine r-sino Sectors and stacks of a sphere A point on a sphere using sector and stack angles An arbitrary point (x, y, z) on a sphere can be computed by parametric equations with the corresponding sector angle 0 and stack angle . Ꮖ = (r⋅ cos ) cos 0 y = = (r cos) sin r. sin The range of sector angles is from 0 to 360 degrees, and the stack angles are from 90 (top) to -90 degrees (bottom). The sector and stack angle for each step can be calculated by the following; sectorStep Ꮎ = 2π- = 2 sectorCount - π stackStep stackCount
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