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Patriot_1776
22-Sapphire II
January 18, 2024
Solved

Iso views based on Default Orientation

  • January 18, 2024
  • 4 replies
  • 6375 views

Ok, so, for a LOOOOONG time I've wanted to make 7 other iso views like the Default Orientation, but never was able to find actual information to make it work.  There was some numbers I found here some time ago based on Radians....but they weren't quite correct, and that bugged the cr@p out of me.  since we're revising our start models and I REALLY finally wanted to put this to bed, I FINALLY was able to find the info that I needed.  In looking at it, I figured the rotation angle around the Y axis (relative to the screen) HAD to be 45deg (+ or - depending)...and it is, but what was the horizontal angle?  I found the last clue here for the "True" representation (FINALLY!):

https://support.ptc.com/help//creo/ced_modeling/r20.5.0.0/en/index.html#page/ced_modeling/OSDM_Annotation/am_settings_isometric_view.html

 

I've attached the Word doc I made, but for, say, Iso-Front-Left-Top orientation, the angles when starting from the FRONT view are:

(DEFAULT TYPE ISO VIEWS ORIENTATION ANGLES ROTATED FROM THE FRONT VIEW

(DYNAMIC ORIENT SPIN BY: SCREEN AXIS VERTICALLY THEN HORIZONTALLY)

 

45

35.3644

Best answer by tbraxton

For reference, some notes on angles of projection.

 

ISOMETRIC (proportion of the three sides is 1:1:1):
The horiz. angle should be the ArcSin of (1/(Sqrt(3))) = 35.26439 degrees
This is equal to ArcSin of Tan(30).
Due to rounding errors in Pro/E you can better use the value: 35.26379
TRIMETRIC:
For a TRIMETRIC view the values HORIZ= 51.57 and VERT= -22.91 are used.

4 replies

13-Aquamarine
January 18, 2024

We are in the 3D modelling and MBD world. I don't understand why these views are required. In fact, any view that is not Isomeric is good. The Isometric and Dimetric views are problematic because edges may overlap, therefore, any trimetric view is OK.

 

I have illustrated the problems with using these views through illustrations.

 

YY_10275059_0-1705562143183.png

 

Patriot_1776
22-Sapphire II
January 18, 2024

Then PTC should have made the Default Orientation Trimetric if it's so much better (it's not).  For me, I wanted views that matched the Default Orientation but from all the other angles, and now I have it...finally.  I guess Isometric and Dimetric views could be a problem if you only made perfectly square transparent cubes with no other geometry, but thank God that's not MY job for a living...🤣🤣🤣

13-Aquamarine
January 18, 2024

YY_10275059_0-1705593160633.png

 

20-Turquoise
January 18, 2024

@Patriot_1776 wrote:

Ok, so, for a LOOOOONG time I've wanted to make 7 other iso views like the Default Orientation, but never was able to find actual information to make it work.  There was some numbers I found here some time ago based on Radians....but they weren't quite correct, and that bugged the cr@p out of me.  since we're revising our start models and I REALLY finally wanted to put this to bed, I FINALLY was able to find the info that I needed.  In looking at it, I figured the rotation angle around the Y axis (relative to the screen) HAD to be 45deg (+ or - depending)...and it is, but what was the horizontal angle?  I found the last clue here for the "True" representation (FINALLY!):

https://support.ptc.com/help//creo/ced_modeling/r20.5.0.0/en/index.html#page/ced_modeling/OSDM_Annotation/am_settings_isometric_view.html

 

I've attached the Word doc I made, but for, say, Iso-Front-Left-Top orientation, the angles when starting from the FRONT view are:

(DEFAULT TYPE ISO VIEWS ORIENTATION ANGLES ROTATED FROM THE FRONT VIEW

(DYNAMIC ORIENT SPIN BY: SCREEN AXIS VERTICALLY THEN HORIZONTALLY)

 

45

35.3644


The numbers given to me years ago by PTC Tech Support are +-45deg about Y axis and then +-35 4/15 deg (35.266667) about X axis:

45

35 4/15 (35.266667)

Patriot_1776
22-Sapphire II
January 18, 2024

Yeah, I wish I'd found them sooner, for sure.  Bummer that there's no way to dig into the Default Orientation and see what angles were used, but, happy to finally have that info.  I'll be populating our start parts with all 7 other views.

tbraxton
22-Sapphire II
tbraxton22-Sapphire IIAnswer
22-Sapphire II
January 18, 2024

For reference, some notes on angles of projection.

 

ISOMETRIC (proportion of the three sides is 1:1:1):
The horiz. angle should be the ArcSin of (1/(Sqrt(3))) = 35.26439 degrees
This is equal to ArcSin of Tan(30).
Due to rounding errors in Pro/E you can better use the value: 35.26379
TRIMETRIC:
For a TRIMETRIC view the values HORIZ= 51.57 and VERT= -22.91 are used.

Patriot_1776
22-Sapphire II
January 18, 2024

So here's the updated file with the "Math'd" number (35.26439 - equation driven, not "rounding error").

4-Participant
February 5, 2025

In case someone need this, below are the angles for a dimetric view:
α: 20.27 (V) ,x= 7.002° (left side angle)
β: 19.425 (H) ,y = 42.003° (right side angle)

If you want to calculate custom angles by yourself, here are the formulas:
x=arctan((Sin(α)*Sin(β))/Cos(α)) ,(left side angle)
y=arctan((Cos(α)*Sin(β))/Sin(α)) ,(right side angle)