Orthographic Projection Explained

Summary

In this educational video, Cal's Beak introduces the concept of multi-view drawings and orthographic projection, a technique for representing three-dimensional objects on a two-dimensional plane. He explains the process of determining front, side, and top views, using an imaginary box to project the object's edges onto different planes. Cal demonstrates how to translate this method into a paper drawing, starting with the front view and then creating top and side views, to produce a comprehensive multi-view sketch. This tutorial aims to deepen viewers' understanding of orthographic projection.

Takeaways

• 📚 The video is an educational tutorial on multiview drawings and orthographic projection.
• 👨‍🏫 It is based on a method taught by a professor from the University of Mind U.
• 🎨 The tutorial uses a 3D object with contours, edges, and a hole to demonstrate the concept.
• 👀 The front view is chosen based on visibility of the object's contours.
• 📐 An 'invisible box' is used to conceptualize the projection of the object's edges onto different planes.
• 📝 The front, side, and top views are the primary views used in the demonstration.
• 🔄 The process involves projecting the object's edges onto the planes of the imaginary box.
• 🖌️ Drawing on paper starts with the front view, then moves to the top, and finally the side view.
• 📏 The tutorial emphasizes the importance of proper layout for the multiview sketches.
• 💡 The 'invisible box' trick is a helpful tool for understanding and creating multiview drawings.
• 🔑 The video aims to provide a deeper understanding of orthographic projection for the viewer.

Q & A

What is the main topic of the video script?

The main topic of the video script is multi-view drawings or orthographic projection, which is a method to represent a three-dimensional object in two dimensions from different angles.

Who is the speaker in the video script?

The speaker in the video script is Cal, who is presumably a knowledgeable individual in the subject matter, possibly a professor or an expert in the field.

What is the purpose of using an 'invisible box' in the explanation?

The 'invisible box' is used as a conceptual tool to help understand the process of orthographic projection by visualizing how the edges of the object project onto the different planes of the box.

What are the three primary views that the script mentions for a multi-view drawing?

The three primary views mentioned in the script are the front view, the top view, and the side view.

How does the script suggest starting the drawing process for a multi-view sketch?

The script suggests starting with the front view as it often provides the most contours and is a good place to begin when drawing a multi-view sketch.

What is the significance of the top view in orthographic projection?

The top view in orthographic projection is significant as it provides a planar representation of the object from above, showing the object's features as they would appear when viewed from the top.

What does the script imply about the relationship between the object's edges and the planes of the 'invisible box'?

The script implies that the edges of the object project straight onto the corresponding planes of the 'invisible box', which helps in creating an accurate representation in the multi-view drawing.

How does the script describe the process of transitioning from the front view to the side view in a multi-view drawing?

The script describes the process as turning the object to the side, which allows the edges to be projected onto the side plane, thus creating the side view.

What is the final step mentioned in the script for creating a multi-view sketch?

The final step mentioned in the script is laying out the top, front, and right side views in a proper arrangement to complete the multi-view sketch.

What advice does the script give for gaining a deeper understanding of orthographic projection?

The script advises using the trick of envisioning a box around the object to help understand how to create a multi-view drawing and to gain a deeper understanding of orthographic projection.

Outlines

00:00

📚 Introduction to Multiview Drawings

In this first paragraph, the speaker, Cal, introduces the topic of multiview drawings, also known as orthographic projection. He explains that the purpose is to help viewers understand how to draw an object from multiple perspectives. The method he's about to teach was learned from a professor at the University of Mind U. The example used is a three-dimensional object with a hole and various edges. The speaker emphasizes the importance of determining the front, side, and top views as the primary views for the drawing.

Keywords

💡Multi-view Drawings

Multi-view drawings are a method of representing a three-dimensional object on a two-dimensional surface by drawing it from multiple angles. In the video, the concept is central to understanding how to visualize and draw an object from different perspectives, such as front, side, and top views.

💡Orthographic Projection

Orthographic projection is a specific type of multi-view drawing that depicts a 3D object on a 2D plane without any distortion of shape or size. The video script explains how to create an orthographic projection by projecting the edges of an object onto imaginary planes representing different views.

💡3D Object

A 3D object refers to any solid figure that has three dimensions: length, width, and height. In the context of the video, the 3D object has contours, edges, and holes, and the goal is to represent it accurately in a multi-view drawing.

💡Front View

The front view is one of the primary views in a multi-view drawing, showing the object as seen from the front. The script describes selecting a front view that reveals most of the object's contours, which is essential for creating an accurate projection.

💡Side View

The side view is another primary view that shows the object from its side. The video script mentions projecting the edges of the object onto a side plane to create the side view, which is crucial for understanding the object's depth.

💡Top View

The top view is the third primary view, depicting the object from above. The script describes projecting the edges straight up to create the top view, which helps in understanding the object's top surface and any features it may have.

💡Invisible Box

The invisible box is a conceptual tool used in the video to help visualize the process of orthographic projection. It is imagined as fitting over the 3D object, with the object's edges projecting onto the faces of the box, representing different views.

💡Projection Plane

A projection plane is a hypothetical flat surface onto which the features of a 3D object are projected to create a 2D representation. The script uses the concept of projection planes for the front, side, and top views to explain how the object's features are transferred onto paper.

💡Contours

Contours refer to the outline or the shape of an object's surface. In the video, the visibility of an object's contours is important for determining which view to use as the front view in a multi-view drawing.

💡Lay Out

Laying out in the context of the video refers to the arrangement of the different views (top, front, and side) on paper in a way that is clear and understandable. The script emphasizes the importance of proper layout for effective communication of the object's features.

💡Primary Views

Primary views are the standard orientations from which an object is drawn in a multi-view drawing, typically the front, top, and side views. The script explains that these views are essential for a complete and accurate representation of the object.

Highlights

Introduction to multi-view drawings and orthographic projection.

The importance of understanding how to draw an object in multiple views.

Learning from a professor at the State of Mind U.

Using an object with a hole and edges to demonstrate the process.

Determining the front view for drawing based on visible contours.

Selecting the side and top views for the multi-view drawing.

Envisioning an invisible box to fit on top of the object for projection.

Projecting edges from the front view onto the front plane.

Projecting edges from the side view onto the side plane.

Projecting edges from the top view onto the top plane.

The challenge of translating 3D object projections onto 2D paper.

Starting the drawing with the front view as a base.

Creating the top view and positioning it correctly.

Moving from the front view to create the side view.

Laying out the top, front, and right side views for a multi-view sketch.

Tips and tricks for creating multi-view drawings and understanding orthographic projection.

Final thoughts on gaining a deeper understanding of orthographic projection.

Transcripts

what's up y'all Cal's beak here just wed

to give you a little bit of information

about multi view drawings or

orthographic projection uh so we can

help understand a little bit more about

how to draw an object in multiple views

so this is a good idea that a professor

a good professor from in State of Mind U

taught me so I'm going to use it to

teach you um so here we have an object

this is just a platform that it's

sitting on but here we have an object uh

is threedimensional it's got a hole in

the top and a bunch of other edges so

first we need to determine what our

front view is going to be so because I

can see most of the Contours uh I'm

going to actually use this as my front

view and we're going to use this as the

side view this is the top view so what

I'm going to do is we're going to

Envision that we have an invisible box

that's going to fit on top of this

object this is going to help us to

understand what orthographic projection

is so if you look into the front view

you'll see a bunch of edges in here of

my object and those edges project

straight to this face okay this is our

invisible box this is our plane that

we're wanting to project our image onto

so we have a whole bunch of edges back

here that all get projected to this

plane that's our front plane okay if I

turn this to the side we now have our

side view this is our side plane and our

threedimensional object all of our edges

here are going to get projected onto

this surface so now we have our side

view and if we go up here and we do our

top view and we look in here our top

view if we were to project I know it's

not perfect but if we were to project

our edges straight up then we now have

our top view so now the trick is trying

to draw this on paper so if we're trying

to draw this now on paper here's where

we're going to take away our object

we're left with our projections that we

just projected I always start with a

front view front view is a good place to

start so here we have our front view if

that's drawn I'm going to try and move

it so you can see it here we have a

front view so now I'm going to move from

my front view and drawing that and I'm

going to create my top view I know it's

kind of hard to see but here if I put it

in the background you can kind of sort

of see it there we go now we have a top

view so now what I'm going to do is I'm

going to move from my front view here

and I'm going to create a side view so

now we have

a fold out of our top front and right

side multi view sketches so this is the

proper way that we want to lay out our

top front and right side views which are

our primary views this is just a good

way to lay them out so use this trick

and uh envisioning a a box around your

object to help you understand how to

create a multi view drawing you can use

those tips and tricks to um help you

understand understand or gain a deeper

understanding of of um orthographic

projection so there you go there you

have it I hope you have a better

understanding