according to the partial construction shown what is the next step in consructing a line perpendicular to point off a line​

In the absence of the accompanying image, I'd guess it involves a significant presence of red hues. A basic explanation is that red represents luck and prosperity in Chinese culture, a fact prominently displayed during various Chinese celebrations, notably the Lunar New Year.
In the U.S., white conveys purity and longevity with deeper historical roots, as it signified wealth due to the challenge of maintaining clean white garments, making them exclusive to the affluent.
In a similar vein, clothing in red (and yellow) was historically worn by Chinese Emperors, leading to its contemporary association with privilege and affluence.

This inquiry lacks detail:

Celebrated saxophonist and composer, regarded as a leading figure in jazz postmodernism; his piece Cobra includes elements of improvisation through "game pieces"; his work "Cool Struttin'" is considered more approachable; his ensemble Masada incorporates klezmer influences into their distinctively postmodern performances:

****If you are inquiring about his identity, the answer would be: Sonny Clark

Sonny Clark is a renowned saxophonist, composer, and prompter celebrated in the jazz music scene, also leading a band known as Masada. "Cool Struttin'" is one of his albums.

The piece begins with a minimal arrangement of instruments, slowly increasing both in speed and volume while incorporating additional instruments. Nevertheless, a consistent melody is continually reiterated. This singular theme fosters a sense of cohesion. The variations in tempo and dynamics (loudness and speed) provide the distinctiveness.

Hickory??