Original paper
A Minoan Geometry for Bisecting and Trisecting the Right Angle
Abstract
In a recent paper we have shown that Egyptians of the New Kingdom were making drawings using compass and straightedge before creating the polychrome decorations of their artifact. Arguing that the use of such instruments had been previously consolidated in the eastern Mediterranean area, here we consider the possibility that the Minoan civilization had a geometry, which allowed its architects and skilled workers to bisect and trisect the right...
Figures & Tables
Figure 1. An “egg-shell” ware of polychrome style (MMIIa period), from Evans’ bo...
Figure 2. A rosette from a wall-painting found at Akrotiri (courtesy Wikipedia)....
Figure 3. Another rosette from the same wall-painting from Akrotiri of Figure 2 ...
Figure 4. Friezes with spirals and rosettes of the Hall of the Double Axes, of a...
Figure 5. A beautiful geometry decoration on pottery found in an Egyptian tomb i...
Figure 6. Details of the game board found by Evans in the Knossos palace.
Figure 7. Wood panel found in the Kha’s Tomb. Note the red lattice of parallel a...
Paper Details
Title
A Minoan Geometry for Bisecting and Trisecting the Right Angle
Published Date
Jan 1, 2016
Journal
References3
Original paper
# 1C. Papaodysseus(NTUA: National Technical University of Athens)
13
# 2Michail Panagopoulos(NTUA: National Technical University of Athens)
6
Last. C. Doumas(National and Kapodistrian University of Athens)
11
A research team at Akrotiri, Thera, here examine the Bronze Age frescoes and show that the artists were making use of templates of well known geometric curves. Some of the spirals, hyperbolae and ellipses which all feature in the repertoire do not occur in nature and must have their origin in some still unknown human science or aesthetic.
Other
Jan 1, 2013
# 1Amelia Carolina Sparavigna(Polytechnic University of Turin)
21
The decorations of ancient objects can provide some information on the value of constant π as a rational number, known and used by the artists who made them. Number π is the dimensionless ratio of circumference to diameter, and then, by measuring the ancient decorations we can obtain its value and gain some hints on the human knowledge of mathematics and geometry in prehistoric times. Here we discuss two examples of this approach. The first is concerning some disks found in the tomb of Hemaka, t...
Original paper
# 1Amelia Carolina Sparavigna(Polytechnic University of Turin)
21
# 2Mauro Maria Baldi(Polytechnic University of Turin)
10
The study of the mathematics and geometry of ancient civilizations is a task which seems to be very difficult or even impossible to fulfill, if few written documents, or none at all, had survived from the past. However, besides the direct information that we can have from written documents, we can gain some indirect evidence on mathematics and geometry also from the analysis of the decorations we find on artifacts. Here, for instance, we will show that ancient Egyptians were able of making geome...
1