The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el....

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The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. [email protected]

Transcript of The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el....

Page 1: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

The Geometry of the Bosnian Pyramid of the Sun

dr.sc. Ivan Šimatović, dipl.ing.el.

[email protected]

Page 2: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

Topographic map of the Bosnian Pyramid of the Sun/ Visočica Hill

Page 3: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

Starting Points for the Analyses of the Original Geometry

1. The Bosnian Pyramid of the Sun is proportional, bisymmetric, and perpendicular. It is a pyramid with perpendicular angles to the base, having a length of a×b and four even edges with a length of c=a

2. According to the geodetic measurements, the Northern side of the Pyramid forms an equilateral triangle with a length of a×a×a and angles of 600

3. The Eastern side of the Pyramid is also an equilateral triangle with the length of a×b×a

Page 4: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

The Ground Plan of the Bosnian Pyramid of the Sun

b>

aa

V

S

J

Z I

/2/2

Page 5: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

Northern and Southern sides of the Bosnian Pyramid of the Sun

a

c = ac = a

V

6 0 0 6 0 0

6 0 0

Page 6: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

Determination of the angle diagonals γ/2

/2 =5 5 ,0 0

a

/2 =5 5 ,0 0

/2 =5 4 ,8 0

/2 =5 4 ,8 0

b /2

b /2

a

Page 7: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

Determination of the measurements of the side’s base

0 0054,8 55,0

/ 2 54,92sr

0tg tg 54,9 1,423 2 1,414...2srb

a

The error is about 0,64 % !

Page 8: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

In this photo, the angles can be measured more accurately than the

height and length!

Viking Orbiter spacecraft NASA Image: The geological formation on Mars called D&M Pyramid, has five sides, bilateral symmetry and primary alignments.

Page 9: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

The calculation of the geometric elements of the Bosnian Pyramid of

the Sun After determining the measurement of the diagonals b /a side bases, Pythagorean theorem could be applied and the trigonometrical relations could be simply calculated:

• The original height of the Pyramid h = a / 2.

• The angles of the shell sides and edges, although, the original dimensions of the Bosnian Pyramid of the Sun are still unknown.

Page 10: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

Estimated dimensions of the Bosnian Pyramid of the Sun

• The Northern side of the base cca 440 m• The Eastern side of the bas cca 620 m• The length of the edges cca 440 m• The height cca 220 m

Page 11: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

The angles of the Bosnian Pyramid of the Sun

• The Northern side towards the base 350

• The Eastern side towards the base 450

• The edges towards the base 300

• Top angle of the Northern side 600

• Top angle of the eastern side 900

• Top angle between the opposite edges

1200

Page 12: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

The Bosnian Pyramid of the Sun embodies multiple irrational algebraic

numbers of √2 i √3

1 a

2b a

3d

a

9 0 0

/2

SJ

Page 13: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

The Eastern Side of the Bosnian Pyramid of the Sun

V

c = a c = a

b = 2 a

4 5 04 5 0

9 0 0

Page 14: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

Discussion of Results:

• These are the preliminary results and estimates of the proportions, angles and dimensions of the Bosnian Pyramid of the Sun

• The results indicate that the original architects of the Bosnian Pyramid of the Sun had clear bases and proportions and used it long ago to build this structure for its specific purpose.

• Its precise orientation towards the cardinal points indicates that its architects were possibly familiar with the energetic system of the Pyramid.

Page 15: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

The geometry: A comparison of the Great Pyramid and the Pyramid of the Sun

The Great Pyramid

The Pyramid of the Sun

Dimensions of the bases 230×230 m

440×620 m(620≈440×√2)

The original height ~148 m ~220 m

The angle of the shellsides

520 350 and 450

The constant

Φ=1,618…(Π=3,14…)

√2 and √3

Page 16: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

A Comparison of the Positioningof the Great Pyramid and the Bosnian Pyramid of the Sun

• Both Pyramids are precisely positioned towards the cardinal points (N, S, E,W)

• The Great Pyramid has a square base and it firmly stands on a flat plateau.

• The Bosnian Pyramid of the Sun has a rectangular base,and its connected with a flat hill from the Western side, which once probably served as an entry plateau.

Page 17: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

A comparison of the construction between the Great Pyramid and the

Bosnian Pyramid of the Sun• The Great Pyramid is layered with

processed stone blocks with great precision and it lays on a flattened plateau. It represents a unique and remarkable example of the monumental construction.

• The Bosnian Pyramid of the Sun is probably not a layered structure, but I suppose the natural hill was flattened into an appropriate pyramid shape. Then it was coated with the firm, long lasting, cement blocks that were poured on site.

Page 18: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

Instead of the Conclusion The preliminary analysis of the original geometry of the Bosnian Pyramid of the Sun in Visoko indicates that its geometry is substantially different from the geometry of the Great Pyramid (the shape of the base, side angles, and edges).

The Bosnian Pyramid of the Sun is probably different in its construction (more than likely, the natural hill was shaped into a perfect pyramid) and it does not stand freely. Its Western side is leaning on the prolonged hill, possibly the entry plateau?!

It could be said that the Bosnian Pyramid of the Sun represents, with its impressive dimensions and geometry, a unique example of an early monumental construction.

Page 19: The Geometry of the Bosnian Pyramid of the Sun dr.sc. Ivan Šimatović, dipl.ing.el. ivan.simatovic@hep.hr.

Visoko’s Pyramids have the Future!

• Based on the two-year preliminary research, there is no longer doubt about the existence of a grandeur Pyramid complex and its infrastructure (a network of underground tunnels).

• The pyramids hold the past and give us a clear message (“stone-mail”) that they are a work of very skillful hands and intelligent architects. They belong to a prehistoric and unknown culture, which we may call “culture X”.

• In addition to their rich past, which is measured in thousands of years, they surely have their substantial future in years to come!