Reuleaux Triangle #1 (Basic)

Creator

Jedidiah Butler (@MathButler)

Difficulty

Basic

On to the Challenge!

Can you create the following graph using desmos.com or some other graphing tool? If you’re victorious, leave us a note in the comments when you’re done.

This is an early step toward the advanced version that looks more rounded inside.  Lists are used to plot multiple lines.

To define a list, try the following:
2014-12-03_08h38_21

This will essentially give a 13 different values.
Can you find the list values for this 3 element list and recreate this graph?

DDRouleauxPicMedium

11 thoughts on “Reuleaux Triangle #1 (Basic)

  1. I did not know how to graph a triangle so I kinda didn’t do that part right. Every thing else seems to be correct.
    x=.6
    x=1.35
    y=-|1.5x-1.5|+1.5
    y=-.6x+.8
    y=.6x+.36
    y=-.6x+1.55
    y=.6x-.4

  2. I got pretty close but there is a slight difference between the two graphs that I can’t seem to fix.
    x=1.26
    y=-I1.5x-1.5I+1.5
    x=.74
    y=-.6x=.8
    y=.6x+.36
    y=.6x-.4
    y=-.6x+1.55
    y=0

  3. I tried my best doing this and tried to get precise measurements, but due to the image, I couldn’t. The answers I got were:
    x=1.26
    y=-I1.5x-1.5I+1.5{x>0}{y>0}
    x=0.74
    y=-0.6x+0.8
    y=0.6x+0.36
    y=-0.6x+1.55
    y=0.6x-0.4
    y=0{0<x<2}

    This is the most precise reuleaux triangle I got. Also, for those who don't know, the braces that I have put behind two equations are restrictions, also know as Domain and Range.

  4. x=.68
    x=1.32
    y=1.72x {0, 1}
    y=-1.72 (x-2) {1,2}
    y= 0 {0,2}
    y= .58x +.38
    y= .58x – .38
    y= -.58x + .78
    y= -.58x + 1.53

  5. x=.67
    x=1.32
    y=.59x+.36
    y=.61x-0.4
    y=-.57x+.78
    y=-.55x+1.5
    y=0 (0<x<2)
    y= 7/4x (0<x<1)
    y=-7/4x+3.5 (1<x<2)

  6. I’m not sure how to add restrictions so I just worked around that. It took a few tries to make everything line up, but it turned out pretty good.
    y=|1.5x-1.5|+1.5
    y=0
    y=.6x-.4
    y=.6x+.36
    y=.6x+.8
    y=-.6x+1.55
    x=1.35
    x=.6

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