Essays/Isometric Surfaces/Isometric Surfaces01

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Isometric Surfaces

1 Reference

'Tensor Analysis' by I. S. Sokolnikoff (Second Edition, 1964).


2 Software

NB. ... execute (ijx) ...

   9!:14 ''
j602/2008-03-03/16:45


3 First Fundamental Quadratic Form (ISS Section 53)

GIS0100C.jpg


4 Isometric Surfaces (ISS Section 61)

4.1 S1
GIS0101C.jpg


load 'plot'
load 'numeric'

u1=:steps 0 6 30
u2=:steps 0 2p1 30

p=:1

y1=:u1(%:@(*:@[+p*p"_)*/2&o.@])u2
y2=:u1(%:@(*:@[+p*p"_)*/1&o.@])u2
y3=:u1((p*_6&o.@(p%~%:@(*:@[+p*p"_)))*/$@]$1:)u2

pd 'type surface'
pd y1;y2;y3
pd 'pdf'
pd 'show'


ISurfaceS1.jpg


GIS0102C.jpg


GIS0103C.jpg


4.2 S2
GIS0104C.jpg


load 'plot'
load 'numeric'

u1=:steps 0 6 30
u2=:steps 0 2p1 30

p=:1

y1=:u1([*/2&o.@])u2
y2=:u1([*/1&o.@])u2
y3=:u1(($@[$1:)*/p*])u2

pd 'type surface'
pd y1;y2;y3
pd 'pdf'
pd 'show'


ISurfaceS2.jpg


GIS0105C.jpg


GIS0106C.jpg


5 Comments (ISS Section 61)

GIS0107C.jpg



Download: File:LIS0100C.txt
Download: File:LIS0101C.txt
Download: File:LIS0102C.txt
Download: File:LIS0103C.txt
Download: File:LIS0104C.txt
Download: File:LIS0105C.txt
Download: File:LIS0106C.txt
Download: File:LIS0107C.txt




Download MoinMoin source: File:IsometricSurfaces01.ijs




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Contributed by Tom Allen