Patterns Found on Y=1 Graph: Explore and Learn

  • Context: High School 
  • Thread starter Thread starter godsdog
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SUMMARY

The discussion focuses on identifying patterns in the graph of the equation y=1, where values of x are incremented by 3 (3, 6, 9, 12, etc.). The user also explores similar patterns for y=2 (x=4, 8, 12, 16, etc.) and y=3 (x=5, 10, 15, etc.), leading to the discovery of a broader pattern across multiple y-values. The user seeks resources for further exploration and mentions using a music program called 'Live' for graphing, which lacks traditional x and y axes. Additionally, the user expresses interest in Mac applications that allow for customizable graphing.

PREREQUISITES
  • Understanding of basic graphing concepts and coordinate systems
  • Familiarity with mathematical patterns and sequences
  • Knowledge of graphing software capabilities
  • Experience with the 'Live' music program for creative exploration
NEXT STEPS
  • Research graphing tools for Mac, such as Desmos or GeoGebra
  • Explore mathematical patterns related to sequences and series
  • Investigate the concept of Moiré patterns and their applications
  • Learn about graphing techniques in music production software
USEFUL FOR

Mathematicians, educators, music producers, and anyone interested in visualizing mathematical patterns through graphing software.

godsdog
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on a graph, y=1 i started with x=3 then 6,9,12, and so on...till uncountable
then y=2:x=4,8,12,16...
y=3:x=5,10,15...etc
etc etc
you get the drift...till i ran out of room on the graph i used y=around 50 or etc...
and with all the points graphed i came up with a pattern...

my question is has anyone come across this before and are there any internet links to explore
i love the patterns that can be found by doing simple things...
another question...are there any Mac apps to for graphing that let's you places dots and certain intervals so i could explore this more..(found out the equation for the arcs involved) the program i used is called 'live' its a music program (no x and y axis) i work with...exploring doppler in music and i expanded and found this pattern :P
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