curvilinear perspective of_a_cube_rotated_30-60_ degrees_massimo-marrazzo

Prospettiva ZeroSeiMassimo Marrazzo

How to draw a rotated cube in 5-point perspective (angles 30°-60° & 15°-75°)

February 2017

1

2

3

4

5

5 vanishing points

1

A 5-point perspective of

a rotated cube: 30°-60°

Size of a rotated cube (30° - 60°)Rotating a cube in three dimensions

Z

Y

X

60°

30°

0.92

0.7

22.2

°

50.7

°

1

1 2 3

45°

Original size of a cubeRotation around the X-axis by 45°Rotation around the Z-axis by 45°

Curved Picture Plane

Side

A

B

Front - Perspective

Top

Front

K

A

B

K

K

2

Y

Major axis

Basic Layout

Perspective

Side

Top

3D view

Extend edges till Plane

Plane

Curved Picture Plane

K

A

B

K

A

B

K

A

B

K

KA

B

A 5-point perspective of

a rotated cube: 30°-60°

Upper faceY

Y

Y

Y

Y

Y

Y

Y

3

K

K

K K

K

Major axis

Basic Layout

PerspectiveSide

Top

3D view

Extend edges till Plane

Plane

Curved Picture Plane

A

B

Y

A

B

A

B

A

B

Front

Y

A 5-point perspective of

a rotated cube: 30°-60°

Front face

YY Y

Y

Y

Y

Y

4

K K

K

K

A

B

A

B

A

B

KA

B

A 5-point perspective of

a rotated cube: 30°-60°

Right face

Major axis

Basic Layout

PerspectiveSide

Top

3D view

Extend edges till Plane

Plane

Curved Picture Plane

Y

Front

Y

Y

YYY

Y

Y

Y

Y

5

Cube size: 1x

A 5-point perspective of

a rotated cube: 30°-60°

6

Cube size: 6x

A 5-point perspective of

a rotated cube: 30°-60°

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A 5-point perspective of

a rotated cube: 15°- 75°

Size of a rotated cube (15°- 75°)Rotating a cube in three dimensions

Z

Y

X

75°

15°

1

10.7

°

69.2

°0.7

0.97

45°

1 2 3

Curved Picture Plane

Side Front - Perspective

Top

Front

A

B

A

B

A

B

8

Cube size: 1x

A 5-point perspective of

a rotated cube: 15°-75°

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Cube size: 6x

A 5-point perspective of

a rotated cube: 15°-75°

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Manuale di prospettiva lineare e curvilineaMassimo Marrazzo 2015

http://www.amazon.fr/Prospettiva-ZeroSei-prospettiva-rettilinea-curvilinea/dp/1511656190/ref=sr_1_1?ie=UTF8&qid=1434100444&sr=8-1&keywords=massimo+marrazzo

http://www.amazon.co.uk/Prospettiva-ZeroSei-prospettiva-rettilinea-curvilinea/dp/1511656190/ref=sr_1_1?ie=UTF8&qid=1434100506&sr=8-1&keywords=massimo+marrazzo

http://www.amazon.es/Prospettiva-ZeroSei-prospettiva-rettilinea-curvilinea/dp/1511656190/ref=sr_1_1?ie=UTF8&qid=1434100506&sr=8-1&keywords=massimo+marrazzo

http://www.amazon.de/Prospettiva-ZeroSei-prospettiva-rettilinea-curvilinea/dp/1511656190/ref=sr_1_1?ie=UTF8&qid=1434100621&sr=8-1&keywords=massimo+marrazzo

http://www.amazon.it/Prospettiva-ZeroSei-prospettiva-rettilinea-curvilinea/dp/1511656190/ref=sr_1_1?ie=UTF8&qid=1434099323&sr=8-1&keywords=massimo+marrazzo

https://www.createspace.com/5422583

A complete manual of Perspective from 0 to 6 vanishing point, including the curvilinear perspective.Drawings are step by step, without long descriptions.Learn how draw in one, two and three-point linear perspective. Master the curvilinear perspective with four, five and six vanishing points. Sketch futuristic cars or the ultimate mp3 player by freehand technique.Have fun with anamorphic projections and stereo drawings for a 3D effects.Circles, shadows, people, reflections, and much more.In just one book the best tricks to drawing precise and fast perspectives.There is also a 5 languages Dictionary and Terminology page. (Italiano, English, Español, Français, Deutsch). The book is 312 pages in 16 chapters. The book is in Italian.

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In the book you can find perspective drawings with 4, 5 and 6 vanishing points.

And much more: shadows, reflections, human figure, tips,...

Learn visuallyThis book for the moment is in Italian but the drawings are step by step, so you don't need to read.Anyway there is a dictionary in 5 languages (Italian, English, Spanish, French, German) to translate words in the case.

Download a free preview from here:

http://www.issuu.com/massimomarrazzo/docs/estratto_prospettiva_da_0_a_6_punti

http://massimo-marrazzo.deviantart.com/

http://prospettivazerosei.blogspot.it/

45°225° 135° 90°180°270° 0°/360° 315° 270°

L1

L2

165° 75°

Shadows Three-point perspective

Four-point perspective

Reflections

Freehand sketching

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This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivs 2.0

Generic License. To view a copy of this license, visit

http://creativecommons.org/licenses/by-nc-nd/2.0/

or send a letter to Creative Commons, PO Box 1866, Mountain View, CA 94042, USA.

Massimo Marrazzo - 2017