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Vitruvian Man

The Making of Rollga and The Inspiration That Came From The Vitruvian Man by Leonardo da Vinci

The Introduction

 

Rollga’s design, icon, logo & colors? Why? Where did it come from? The icon is a representation of Leonardo da Vinci’s drawing of the Vitruvian Man which depicts the ideal proportions of the human body laid out in a blend of art and science. The Rollga Roller has ideal proportions for the human body. Over 8 months of research went into the Rollga design using some of Leonardo’s formulas about human anatomy and proportions, as well as 100’s of other articles and input from modern health and wellness professionals. Leonardo believed the workings of the human body to be an analogy for the workings of the universe.

Leonardo da Vinci, Vitruvian Man, 1487, 34.4 × 25.5 cm (13.5 × 10.0 in)

Leonardo da Vinci, Vitruvian Man, 1487, 34.4 × 25.5 cm (13.5 × 10.0 in)

The Vitruvian Man is associated with ideal, perfect and balanced health and fitness which fits our mission at Rollga - to help you achieve a perfect balance of health and fitness.

The “Yellow/Orange” color of our logo is Sunrise which represents a new start, hope and beginning to take the earth out of darkness, ignorance, and into the light of knowledge.

 

More about The Vitruvian Man…

The Vitruvian Man is a world-renowned drawing created by Leonardo da Vinci around the year 1487. It is accompanied by notes based on the work of Vitruvius. The drawing, which is in pen and ink on paper, depicts a nude male figure in two superimposed positions with his arms and legs apart and simultaneously inscribed in a circle and square. The drawing and text are sometimes called the Canon of Proportions or, less often, Proportions of Man. It is stored in the Gallerie dell’Accademia in Venice, Italy, and, like most works on paper, is displayed only occasionally.

A passage from Roman architect Vitruvius (Marcus Vitruvius Pollio), describing the perfect human form in geometrical terms, was a source of inspiration for many renaissance artists. Leonardo da Vinci was the only one successful in correctly illustrating the proportions outlined in Vitruvius’ work De Architectura, and the result went on to become one of the most recognized drawings in the world, it became a representation for the standard of human physical beauty. Leonardo’s vast knowledge of both anatomy and geometry made him uniquely suited to the task.

The drawing is based on the correlations of ideal human proportions with geometry described by the ancient Roman architect Vitruvius in Book III of his treatise De Architectura. Vitruvius described the human figure as being the principal source of proportion among the Classical orders of architecture. Other artists had attempted to depict the concept, with less success. The drawing is traditionally named in honor of the architect.

The Vitruvian Man image exemplifies the blend of art and science during the Renaissance and provides the perfect example of Leonardo’s keen interest in proportion. The picture represents a cornerstone of Leonardo’s attempts to relate man to nature. Encyclopaedia Britannica online states, “Leonardo envisaged the great picture chart of the human body he had produced through his anatomical drawings and Vitruvian Man as a cosmografia del minor mondo (cosmography of the microcosm). He believed the workings of the human body to be an analogy for the workings of the universe.” It is also believed by some that Leonardo symbolized the material existence by the square and spiritual existence by the circle. [ Source: Wikipedia.org ]


Vitruvian Man Mathematical Formulation by Anthony G. Cila –

Vitruvius, De Architectura: THE PLANNING OF TEMPLES, Book 3, Chapter I

  1. The planning of temples depends upon symmetry: and the method of this architects must diligently apprehend. It arises from proportion (which in Greek is called analogia). Proportion consists in taking a fixed module, in each case, both for the parts of a building and for the whole, by which the method of symmetry is put to practice. For without symmetry and proportion no temple can have a regular plan; that is, it must have an exact proportion worked out after the fashion of the members of a finely-shaped human body.
  1. For Nature has so planned the human body that the face from the chin to the top of the forehead and the roots of the hair is a tenth part; also the palm of the hand from the wrist to the top of the middle finger is as much; the head from the chin to the crown, an eighth part; from the top of the breast with the bottom of the neck to the roots of the hair, a sixth part; from the middle of the breast to the crown, a fourth part; a third part of the height of the face is from the bottom of the chin to the bottom of the nostrils; the nose from the bottom of the nostrils to the line between the brows, as much; from that line to the roots of the hair, the forehead is given as the third part. The foot is a sixth of the height of the body; the cubit a quarter, the breast also a quarter. The other limbs also have their own proportionate measurements. And by using these, ancient painters and famous sculptors have attained great and unbounded distinction.
  1. In like fashion, the members of temples ought to have dimensions of their several parts answering suitably to the general sum of their whole magnitude. Now the navel is naturally the exact center of the body. For if a man lies on his back with hands and feet outspread, and the center of a circle is placed on his navel, his figure and toes will be touched by the circumference. Also a square will be found described within the figure, in the same way as a round figure is produced. For if we measure from the sole of the foot to the top of the head, and apply the measure to the outstretched hands, the breadth will be found equal to the height, just like sites which are squared by rule.
  1. Therefore if Nature has planned the human body so that the members correspond in their proportions to its complete configuration, the ancients seem to have had reason in determining that in the execution of their works they should observe an exact adjustment of the several members to the general pattern of the plan. Therefore, since in all their works they handed down orders, they did so especially in building temples, the excellences and the faults of which usually endure for ages. [Source: aiwaz.net]

 

Geometrical construction of the Vitruvian Man by Leonardo da Vinci 

It is assumed that proportions of the circle and square reflect Golden Division. Here we present analysis that shows that this assumption is incorrect.

 

If a circle has radius = 1 unit, square side is equal to:
1.656 for Vitruvian Man
1.618 for Golden section construction
1.571 for the condition: circumference of the circle = perimeter of the square
1.772 for the condition: area of the circle = area of the square

Fig. 1 Comparison of true Golden Rectangle with Vitruvian Man drawing
Fig. 2 Circle and square based on Golden Section Squaring the circle is a problem proposed by ancient geometers. It is the challenge of constructing a square with the same area as a given circle by using only a finite number of steps with compass and straightedge.

The Circumference of the Circle = 6.28… [ 2 x Pi = 6.28 ] The square with side 1.571 has perimeter equal 6.28 [ 4 x 1.571 = 6.28 ].
Fig. 2b Right shows a circle with Radius = 1 and a square with side = 1.772.
The Area of the circle is 3.14 [ as determined by pi multiplied by the radius squared ].
The area of the square is also 3.14…  [1.772 x 1.772 ].

 

Vitruvian Man – methods of geometrical construction of the circle and the square

The simplest composition is based on a square, which is duplicated and rotated 45º to form an octagram.  The distance between the base-line of the first square and the apex of the rotated one simply represents the diameter of the circle.

Fig. 3a The simplest way to describethe geometrical construction of the Vitruvian Man.
Fig.3b Steps explaining the simplestgeometrical construction of the Vitruvian Man.

Another method of geometrical construction of the Vitruvian Man
Step 1: Draw a square and circle (radius R1) as shown on the Fig. 4

Figure 4

Step 2: Move circle so point A overlaps with point B (see Fig. 5)

Figure 5

Step 3: Locate center of the final circle (point O) by Dividing distance AB in a half.
Draw new circle with radius R2=OA (see Fig.6)

Figure 6

The result matches perfectly Leonardo’s drawing:

Figure 7

Fig. 7 Superimposed image of Fig.6 and Leonardo’s drawing.

Related articles: Fibonacci Numbers in Nature & the Golden Ratio

Article Source: Vitruvian Man

***Disclaimer: Rollga is neither a medical device nor intended as a treatment for medical conditions. This product does not cure medical ailments or illnesses. No information provided by Rollga manufacturer or its distributors, whether written or verbal or provided in these instructions, in brochures, in websites or otherwise, is intended to be a substitute for professional medical advice, diagnosis or treatment. Ask your health care professional if Rollga is right for you. Rollga has not been evaluated by the FDA.

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