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Chakana (traditional Inca symbol)

image by António Martins, 24 October 2005

Presentation
Pierced chakana
- Construction
Double-inscribed chakana
- Construction
Chakana as square blocks in grid
- Chakana on a 7×7 square grid
Chakana as 2+4+6+6+4+2
Chakana as 1+3+5+3+1
Other variants

See also:

Inca flags

External links:

La Chakana — “el Puente Cósmico”

Presentation

The chakana is a solar symbol used by South American Native people, featuring in modern Inca (= Quechua-Aymara) and Mapuche-Teheulche (= Araucanian-Patagonian) flags.
António Martins, 24 October 2005

The archetypical chakana seems to be an equilateral lozenge (tilted square) shape with a zigzag orthogonal outline.
António Martins, 04 February 2007

It is usually represented as a figure enclosed in a line made of 12 segments joined at right angles (both concave an convex) with two symmetry axis meeting at right angles, usually aligned as horizontal and vertical. The precise relative lengths of the line segments varies.
António Martins, 24 October 2005

At the M.P.L.T. website a geometrical and philosophical explanation for the chakana is given. This should be taken very carefully, as it differs from other sources on the subject (such as [mmfXX], [qch9X], and [ljj02], themselves hardely champions of accuracy…) and includes crude errors (such as calling a wavy line made from half circles a sinusoid).
António Martins, 13 February 2005

Pierced chakana

image by António Martins, 24 October 2005

Construction

image by António Martins, 24 October 2005

Some times the chakana includes a round piercing (with the background visible throughout), or a superimposed disc, either plain or diametrically divided.
António Martins, 24 October 2005

Double-inscribed chakana

A more elegant shape is achieved by superimposing a square and two oblong rectangles, all centered, the latter two forming a cross and being both inscribed in an imaginary circle whose diameter is the square’s diagonals.
António Martins, 24 October 2005

Construction

image by António Martins, 24 October 2005

This design is described and commented with a lot of claptrap in article [ljj02] (web version: image). Note that the prescribed angle, 22°30′ (a quarter of a quadrant and only coincidentally approximate to Earth’s axial inclination), does not match the rest of the specs sheet given, which may be a measure of the seriousness of this source.
António Martins, 24 October 2005

Chakana as square blocks in grid

Most flags show simple designs, made of adjoined square blocks.
António Martins, 24 October 2005

Chakana on a 7×7 square grid

image by António Martins, 05 February 2007

The pattern for the chakana and its placement on this flag is based on the 7×7 suyu flag design, which is yet another way to draw and place the chakana. Drawn like this it is not anymore a cross-on-a-square shape, but it is still an equilateral lozenge (tilted square) shape with a zigzag orthogonal outline, which seems to be the archetypical chakana.
António Martins, 04 February 2007

Chakana as 2+4+6+6+4+2

image by António Martins, 24 October 2005

Most flags show simple designs, made of adjoined square blocks — either 1+3+5+3+1 or 2+4+6+4+2.
António Martins, 24 October 2005

This design is both a quadrate cross and fits on a monometric orthogonic grid.
António Martins, 06 November 2017

Chakana as 1+3+5+3+1

image by António Martins, 24 October 2005

Most flags show simple designs, made of adjoined square blocks — either 1+3+5+3+1 or 2+4+6+4+2.
António Martins, 24 October 2005

This design is both a quadrate cross and fits on a monometric orthogonic grid.
António Martins, 06 November 2017

[⚓][⇞]

Other variants

MPLT’s chakana is divided in four "w"-shaped parts, standing from the four quarters of the Inca Empire, each made up of five adjoining square blocks.
António Martins, 13 Februay 2005