Would you describe this drawing as a piece of art or an example of mathematics?

Why?

Drawings like these are used in design and engineering to convey information and have a special name. Do you know what they are called?

What types of mathematics are important when making a design like this ?

Looking forward to your answers,

Regards Dr Mackey

Dr Mackey,

My answer to the first question is that the picture but is an art piece because it is a design and a drawing and it has positive and negative elements. Also it is mathematical because it is about angles degrees and lines.

My answer to the second question is that those types of drawings are called isometric drawings, but this one is an exploded isometric drawing but the chair is not exploded. It is exploded because the cube is separated.

My answer to the third question is that the mathematics that are important when making a design like this are: angles, degrees, symmetry and lines

This 6 perspective picture is viewed from the top, bottom, and all of the 4 sides.

Thanks for the questions! This was one of the hardest questions we have ever done!

Greetings Dr Mackey,

Question 1) My prediction is that the diagram is both math and art. It contains the art aspect by having an abstract art look and is has black and white- negative and positive features. The math aspect is that it is a diagram called an isometric diagram that is opened (exploded) and labelled.

Question 2) the diagram is called a isometric diagram (or drawing)

Hi Dr Mackey,

I believe this looks like an exploded isometric drawing however the box is exploded but the chair isn’t.

I think this is a piece of art as it makes you wonder what is going on. However it is also a math drawing as it would be very useful when doing engineering or designing.

The mathematics involved would be mainly angle and symmetry.

Thanks,

Mattea

Dear Dr Mackey-

The answer to Q1 is: I believe that this is BOTH Art and Math because the form the ‘cube’ is currently in on this photo looks like it has exploded(the artistic side of it) whereas it is mathematical because of the dimensions/perspectives this one shape holds.

The answer to Q2; I believe this is a type of exploded isometric cube because after research and discussion I have found multiple websites that all lead to this conclusion of a isometric cube that has been open/ exploded

The answer to Q3 is: A sort of mathematics that is involved in this ‘exploded cube’ is making sure each dimension has the same span of area and perimeter.

Dear Gilbert –

Some great ideas about the drawing being both Art and Maths . You are absolutely right that the isometric cube exploded and that area and perimeter are the types of Maths that we are discussing. Well done, Regards Dr Mackey.

Dear Gilbert

Your answer is very well researched and you have ben very observant in pointing out the type of “exploded isometric” drawing . Well done , Regards Dr Mackey

Hello Dr Mackey,

I think that it is an exploded isometric projection but the chair is not exploded only the cube is exploded. Six perspective views show the top view, bottom view, and side views of the chair and in the photo the chair is in the middle and the 6 perspective views show the six perspectives of the chair. The mathematics used in the photo is angles, symmetry, rotation, patterns and perspective. I think the photo contains both art and mathematics.

Thank you for the question this week as it was very entertaining and challenging.

Hi Jorja ,

Very well observed that the cube, not the chair, is an exploded isometric projection and you have described the use of the angles in detail . Yes the mathematical concepts include angles, symmetry, rotation, patterns and perspective andit is both an artistic and mathematical drawing . Keep up the great work, Regards Dr M.

Hello Dr Mackey,

I believe that it is both art AND math but there is more maths involved than art. It is maths because you have to calculate and art because it’s a drawing. This is called an isometric diagram. The mathematics needed are:

Angles, symmetry, perspectives and shapes are the areas of mathematics.

Looking forward to next week’s questions!

p.s THIS WAS SO CHALLENGING!

Hello Greer,

That is interesting that believe that there is more maths involved than art in this drawing . The artist would have had to have a great understanding symmetry, perspectives and shapes that is for sure. Keep up the great answers , Regards Dr M .

Hi Dr Mackey,

I believe the answer as a whole would be both, art and math.This is because the picture falls under a few categories.

1. Isometric DRAWINGS

2. Angles in MATHS

3. Exploded DRAWING (only the box)

4. Pretty obvious but shapes MATHS

There is a pretty even amount of ART & MATHS…

The maths involved is isometric drawings are 3D drawings. They show three sides, but none are shown with 90 degree corners. All the vertical lines are drawn vertically but all horizontal lines are drawn at 30 degrees to the base line.

Josephine

Hi Josephine,

I agree , I think the image represents both Art and Maths because the images has a great sense of balance and creativity. As you pointed out , the artist would have had to used a great deal of understanding about angles. Well done! Regards Dr M

Hi Kathy Mackey,

Q1. I think it’s both because perspective drawing is used in design, art (drawing), mathematics (angles, degrees), engineering, and architecture

Q2. I believe it is an isometric projection of the chair because the isometric projection shows the object from angles in which the scales along each axis of the object are equal. It is also an exploded isometric projection because the box is pulled apart.

Q3. The mathematics in this picture are Angles, symmetry, positive and negative, degrees, measurement

Hi Girls,

You are correct , the artist has used a great deal of understanding about perspective and engineering…and yes you are correct that the drawing is an exploded isometric projection . A well developed answer , Regards Dr M

Hello Dr Mackey,

Here is my question 1.

I think it is both. It is maths as it deals with angles, perspectives, symmetry, rotation and patterns but it is also art as it has horizontal structures running into a distance away from the plane of the picture that should project a single vanishing point. Depth is conveyed by shadows, angles and horizontals, and is very artistic as it is showing the negative and positive with the black and the white and the mirror images on the top, sides and bottom.

This is my question 2.

It is called an isometric drawing. It has elements of exploded isometric projection, but only the cube is exploded. Isometric drawing is way of presenting designs or drawings in three dimensions. In order for a design to appear three dimensional, its sides are drawn with a 30 degree angle, and this is the case with this technical drawing.

Question 3:

It deals with angles, perspectives, symmetry, rotation and patterns. These concepts are important when making a design.

Hello Olivia , Yes a I agree that the drawing is a an example of both arts and maths- as you are correct , it is

an isometric drawing. The artist has a done a great job in dealing with all of the mathematics concepts within this design. Well done , Regards Dr M

Hello Dr Mackey,

I would describe the picture as both a piece of art and an example of mathematics. It looks like a piece of abstract art and the inside of instruction manual for a wooden chair.

Elements of an exploded isometric drawing is what it’s called I believe. It would be exactly symmetrical if the chair was split in half and some of the ‘panels’ too.

Angles are an important aspect of mathematics that this drawing includes. There is also symmetry involved with the ‘cube’ being symmetrical and the chair is symmetrical. This is a 3D picture

Thank for this, it was my first Dr Mackey Project. I found it hard at the begging but then it was very enjoyable.

Kind regards,

Annabel

Hello Annabel,

Yes the drawing is a great example of the combination of art and mathematics. You have pointed out how important an understanding of angles and symmetry is in order to create such a 3D effect. Welcome to the blogging team ! Cheers Dr Mackey

Q1.Both because it has engineering and design which is mathematical and art it’s also architectural with aspects of an exploded box which is also art and has a reflection of the chair in 4 angles

Q2. Some aspects of an exploded isometric box but it has basically been taken apart or opened up but the chair in the centre is still together which makes the cube partly exploded but not entirely.

Q3.I think the maths that is important in this picture is Angels mirrors reflections and symmetry 3D perspective.

Hi Charlie … You have made a good point . Engineering and architecture are really the intersection of art and maths.

It is a drawing of an exploded isometric box and as you have pointed out it involves an understanding of symmetry and perspective. Well done ,

Regards Dr Mackey

Hi Dr Mackey,

I think the answer to the first question is both. I think this because as I did some research I found an image of an exploded isometric cupboard. the exploded image I found looked like the picture that we were given except it is a square. So this would be a form of both.

I think it is an exploded isometric projection. But I do not know why there is different views of the chair on the exploded sides and do not know why there is a chair in the middle.

The math need is Angles, perspectives, 3D perspectives and symmetry .

thank you lots,

Zara

Hi Zara ,

I agree , I think it is both as it is a great example of an exploded isometric drawing . It would take a great deal of mathematical understanding of angles and symmetry to draw this. Keep up the great work , Regards Dr M

Dear Dr Mackey,

The answer to Q1- I would describe this image as a cross between Maths and art because it is probably includes features of an exploded image which is a 6D (maths part) image of an object (art part) that shows all its features in different dimensions.

The answer to Q2- I believe this is an isometric image that has a few features of an exploded isometric image removed.

The answer to Q3- The types of maths that is important are dimensions because it involves 6 of them, there is also symmetry and angles which make up the exploded image.

Dear Benjamin ,

Great answer – it is definitely a cross between Art and Maths as it is an exploded isometric image. Yes the artist would have had to understand so much about symmetry and angles in order to make this drawing . Well done, Regards Dr M.

Q1.I think that this drawing is art and maths, it is art because it shows reflections of the chair with 4 side views a bird’s eye view and worms eye view. But it was also maths because it was showing correct reflections of the chair.

Q2. I think that this art is Isometric art and exploded art. It is slightly exploded art because all the views are separated from each other but it is not all exploded art because it is not all completely separated from each other.

Q3.I think important maths in this is angles and making sure each reflection is correct and the symmetry is the same.

Hi Lochy,

Love your comments about the bird’s eye and worms eye view. Yes it is an exploded isometric drawing requires a great understanding of symmetry, Kind Regards Dr Mackey

Q1. I think the drawing is art & maths, art because the designer showed the two sides, front, back, bird’s eye view and bottom view. It also has math which I think is an isometric type of math and correct reflections of a chair.

Q2. I think that the art is isometric art and exploded art. I is exploded a bit with all the views are separated from each other but not totally separated.

Q3. I think the important maths in the picture is perspectives, angles and making sure each reflection is correct plus the symmetry must be the same

Hi William , I love the way you have described the artist as a designer as this is a great example of an exploded isometric drawing that combines multiple views. A top answer , Regards Dr Mackey

I would describe this drawing as an example of mathematics and art. I would describe it as both because it holds elements of both art and mathematics. The elements of mathematics in it are; 30 degree angles, the blueprint-type format that is used in engineering and design, the elements of an exploded isometric projection (the cube, which has been exploded, although the chair has not), the 3D cube, the symmetry of the composition, and the geometric planning undertaken while drawing/sketching.

It would also be classified as art, as it has; positive and negative aspects (the black and white negative and positive representations), and the six perspectives of the original chair drawing.

This type of drawing would be called an exploded isometric projection. (Note: the chair is not exploded like the cube)

Angles are very important when making a composition like this, because it must be very precise, as is the 3D perspective shown in the picture, because the cube supports the perspective drawings, and represents the exploded isometric projection.

Hi Marielle ,

You have provided a very detailed answer and I love your comment about the combination of elements of both art and maths .

You are correct in that the artist must have been very precise when creating this exploded isometric projection.

Well Done , Regards Dr M

Dear Dr Mackey,

I think this drawing is/requires mathematics and art especially interior designers because Isometric drawing is way of presenting designs/drawings in three dimensions. In order for a design to appear three dimensional, a 30 degree angle is applied to its sides. The chair opposite, has been drawn in isometric projection which is art and math combined.

This drawing are called isometric drawing and are one of many drawn today.

The mathematics involved are angles ,3 dimensions perspectives , shapes ,symmetry and graphic and visual perspectives/images

Thank you Chloe

Dear Chloe,

That is a great opinion that interior designers would need these skills in order to do their job well . You are correct – it is a an exploded isometric drawing and you have used some strong arts descriptors in your answer,

Kind Regards Dr M

1. I would describe this as a piece of art and maths because it has all the aspects of maths and also art.

2. The special name for this picture is called an exploded isometric projection- is a method for visually representing three-dimensional objects in two dimensions in technical and engineering drawings. It is an axonometric projection in which the three coordinate axes appear equally foreshortened and the angles between any two of them are 120 degrees. The term “isometric” comes from the Greek for “equal measure”, reflecting that the scale along each axis of the projection is the same (unlike some other forms of graphical projection).

3. Some of the maths included for this picture are: symmetry, angles, shapes, lines, positive and negative, degrees, measurement, logical thinking and reasoning.

Hi Qianna ,

I agree I think it is a piece of art and maths. Clearly you have done some great research about the history of this type of drawing . You are correct in pointing out that that the artist would need a great understanding of maths to draw this image.

Keep up the great work ,

Regards Dr M

Hello Dr Mackey,

First of all, I think it is maths and art.

It looks like an exploded isometric projection but only the box is exploded not the chair. There is the same 30 degree angle at the top sides and bottom of the box. The image is showing a 6 dimension drawing of a chair in a box that is exploded. It has six perspectives of the chair. From the top, behind, in front, from the left, from the right and from below.

It is artistic in the colours black and white showing positive and negative.

It is called an isometric projection.

There is a mathematical shape that is called a 6-simplex and it looks like the star shape that is on the picture. The math that is important in making a design like this is dimensions of an object or shapes and measuring objects because the star shape lines could be measuring the chair.

Also, there are angles involved. With the 30 degree angle on the top and bottom of the picture.

Thank you Dr Mackey. This was challenging .

Hello Ladies ,

Yes this drawing is a great example of maths and art and it shows strong use of positive and negative.

The artist would have had to have had a solid understanding of many areas of maths,

Keep up the great teamwork , Regards Dr M

Sorry I did not finish my answer so here it is:

Question 3) The mathematics required to design a diagram like this one is: Knowledge of area, symmetry, size relations, perimeter, 3D perspectives and angles.

Looking forward to next week’s questions!

This week was challenging!

Hi Molly, I love the fact that you have explained the areas of maths that the artist needed to make this drawing , in particular symmetry and an understanding of 3D perspective.

Well done , Regards Dr M

Hi Dr Mackey,

This chair is both a piece of art and an example of mathematics. The reason for this is that this is an exploded isometric projection but the chair in the middle has not been separated. It is an example of mathematics as engineer’s and mathematicians use different perspectives on objects and it is a piece of art as the chair in the middle has not been taken apart therefore the drawing is not a complete exploded isometric projection which means that it can also be called art.

The mathematics that are important when making a design like this are angles, reflection, perspective, 3d, symmetry and shapes. I found this quite difficult and I would like to thank you for the challenge.

Mary

Hi Mary , You are correct this drawing is a great example of how art and mathematics combine. Your comments about how the engineer sees the work are excellent.

Engineers ,designers and artists would all need to have a great understanding of perspective and symmetry to make a drawing like this.

Keep up the great work , Regards Dr M

Hi Dr Mackey,

I think the answer to question one is art, because, well, it is a drawing, and because perspective is an arty theme. I also think it is maths as well because perspective and dimensions are part of geometry and geometry is a mathematical topic.

For question 2 I did some research and I came up with an isometric drawing.

For question 3 I think some of them might be 3D shapes and perspectives (geometry), angles.

This was pretty hard!!!

Thanks Peter

Hi Peter ,

Yes you are right , the drawing is a great example of how art and maths can work together.

You are correct , it is an isometric drawing and the artist would have had to have a solid understanding of

geometry to make this drawing work , Kind Regards Dr M

Dear Dr MacKay,

For Q1 I think the answer is both, mathematics and art. I think art because it is a drawing. And mathematics because it is 3D and it has symmetry.

For Q2 I think the answer is an Isometric drawing.

For Q3 I think the some answers are 3D perspectives and angles.

This was the hardest YET!!!

Thanks Matthew

Dear Matthew, Yes it was a difficult challenge! You are correct in pointing out that both maths and art place an importance on symmetry and perspective . I am sure you will find next week’s challenge easier , Regards Dr M