June 28, 2007: Trash shadow

[Happy Monkey]

Whatever that means. It's exactly what was portrayed by the diagram. If it is not what you thought the diagram meant, you were mistaken. The profiles "intersect" insomuch as any two different 2D projections of a 3D object "intersect".

[xoxoxoBruce]

intersect

• verb 1 divide (something) by passing or lying across it. 2 (of lines, roads, etc.) cross or cut each other.

— ORIGIN Latin intersecare ‘cut, intersect’.

[Happy Monkey]

Originally Posted by Happy Monkey

The profiles "intersect" insomuch as any two different 2D projections of a 3D object "intersect".

I'm not sure what it is you think the word "profile" on the diagram means, but that word seems to be what is preventing you from understanding the diagrams, which is why I tried a few other words.

What I understand it to mean is "the 2D pattern that the object appears as when viewed from the designated angle". As such, any two of them, as long as they aren't colinear, will "intersect", though I'm not sure the word is completely relevant.

[xoxoxoBruce]

Originally Posted by Happy Monkey

I'm not sure what it is you think the word "profile" on the diagram means, but that word seems to be what is preventing you from understanding the diagrams, which is why I tried a few other words.

What I understand it to mean is "the 2D pattern that the object appears as when viewed from the designated angle". As such, any two of them, as long as they aren't colinear, will "intersect", though I'm not sure the word is completely relevant.

You've demonstrated your interpretation of what he diagrammed. It would be an interesting World if every craftsman was allowed to interpret the plans.

[Flint]

Originally Posted by Happy Monkey

I'm not sure what it is you think the word "profile" on the diagram means...

Maybe this will help? From dictionary.com:

pro•file
4. an outline of an object, as a molding, formed on a vertical plane passed through the object at right angles to one of its principal horizontal dimensions.
5. a drawing or the like representing this.
10. The look, configuration, or lines of something: cars with a modern profile.
13.Theater. a flat stage property or scenic piece cut from a firm, thin material, as of beaverboard or plywood, and having an irregular edge resembling the silhouette of a natural object.
16. to draw a profile of.

pro•file
1. a. A side view of an object or structure, especially of the human head.
b. A representation of an object or structure seen from the side.
2. An outline of an object.

profile
1656, "a drawing of the outline of anything," from It. profilo "a drawing in outline," from profilare "to draw in outline," from pro- "forth" + filare "draw out, spin," from L.L. filare "to spin, draw out a line," from filum "thread."

profile
2. an outline of something (especially a human face as seen from one side)

profile
the view of a face, head etc from the side; a side view

pro•file
1. A side view of an object or a structure, especially of the human head.

In other words, exactly what my diagram illustrated.

The "vertical plane" that a profile is formed on can intersect with a "vertical plane" upon which a different profile is formed. If these profiles are made to represent two different objects, then, from the viewer's persepctive, the first object casts the shadow of the second, different, object.