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    Thanks Doug,<br>
    <br>
    I'm not sure I follow your examples (pun intended!). <br>
    <br>
    For the segmented S curves, the difference between following the arc
    and following straight line approximations of that arc are pretty
    small, and likely to be indistinguishable from Ron's robot's path,
    for example.   Similarly, each of the stains on the published
    "challenge" course is on a straight line segment between the entry
    point and exit point, so the paths would be identical in both cases.<br>
    <br>
    For a robot with a base the size of the tiles, I'm not sure there
    would be any difference at all, unless the rules require that the
    "exact center" of the robot must remain on the line, in which case I
    don't see how either Carl's approach or Ron's would qualify.<br>
    <br>
    This is just an intellectual exercise, I'm not planning on fielding
    such a 'bot.<br>
    <br>
    cheers!<br>
    dpa<br>
    <br>
    <br>
    <div class="moz-cite-prefix">On 12/10/2017 10:06 AM, Doug Paradis
      wrote:<br>
    </div>
    <blockquote
cite="mid:CAOdUW+axKkkuL-SOxQgEs6sAUgvvmA2itqJ+_VDpYFyeeLAmFw@mail.gmail.com"
      type="cite">
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      <div dir="ltr">David,
        <div>      Going from entry point to exit point is not
          considered enough. You have to follow the line. For example,
          the segmented S curves, the robot needs to follow the curve 
          and make an S type movement. Another example is the stain
          elements, the robot needs to follow the line across the stain
          not follow the outside edge of the stain. </div>
        <div><br>
        </div>
        <div>Regards,</div>
        <div>Doug P.</div>
      </div>
      <div class="gmail_extra"><br>
        <div class="gmail_quote">On Sun, Dec 10, 2017 at 1:11 AM, David
          Anderson <span dir="ltr"><<a moz-do-not-send="true"
              href="mailto:davida@smu.edu" target="_blank">davida@smu.edu</a>></span>
          wrote:<br>
          <blockquote class="gmail_quote" style="margin:0 0 0
            .8ex;border-left:1px #ccc solid;padding-left:1ex">
            <div text="#000000" bgcolor="#FFFFFF"> Great meeting today. 
              <br>
              <br>
              Doug, I have a question based on Ron and Carl's
              presentations, perhaps it has already been answered, to
              wit:<br>
              <br>
              As I understand, the line following course consists of an
              assembly of square tiles, each of which has an entry and
              exit point.<br>
              <br>
              Is it sufficient for the robot to just identify the entry
              and exit points, and drive directly from one to the other?<br>
              <br>
              That is, it would not follow the line per se, though with
              sufficiently large robot the differences would probably be
              pretty negligible, but it would follow the course.<br>
                <br>
              thanks,<br>
              dpa
              <div>
                <div class="h5"><br>
                  <br>
                  <br>
                  <div class="m_-5699930273498463671moz-cite-prefix">On
                    12/09/2017 08:18 AM, Doug Paradis wrote:<br>
                  </div>
                </div>
              </div>
              <blockquote type="cite">
                <div>
                  <div class="h5">
                    <div dir="ltr">John,
                      <div>    Currently, the intersecting lines are
                        always straight and all intersections are 90
                        degrees. Curves lines at an intersection would
                        be a possible addition to further challenge
                        courses (interesting idea). The link to the
                        course layout is at </div>
                      <div><a moz-do-not-send="true"
href="https://www.dprg.org/wp-content/uploads/2017/11/DPRG-Roborama-2011b-Challenge-Level-LF-Course.pdf"
                          target="_blank">https://www.dprg.org/wp-<wbr>content/uploads/2017/11/DPRG-<wbr>Roborama-2011b-Challenge-<wbr>Level-LF-Course.pdf </a> 
                        If you have any additional questions, let me
                        know. I would love to see your work on the tests
                        that you are developing.</div>
                      <div><br>
                      </div>
                      <div>Regards,</div>
                      <div>Doug P.</div>
                    </div>
                    <div class="gmail_extra"><br>
                      <div class="gmail_quote">On Sat, Dec 9, 2017 at
                        12:36 AM, John Swindle <span dir="ltr"><<a
                            moz-do-not-send="true"
                            href="mailto:swindle@compuserve.com"
                            target="_blank"><a class="moz-txt-link-abbreviated" href="mailto:swindle@compuserve.com">swindle@compuserve.com</a></a>></span>
                        wrote:<br>
                        <blockquote class="gmail_quote" style="margin:0
                          0 0 .8ex;border-left:1px #ccc
                          solid;padding-left:1ex"><font face="Arial,
                            Helvetica, sans-serif" size="2"
                            color="black">Doug,
                            <div><br>
                            </div>
                            <div>I'd say the crossing in your drawing
                              was about either 30 degrees or 150
                              degrees, and since it could come in on
                              either side, I'd have to look for both. I
                              am not asking that the rules state which
                              side the angle is measured from. My issue
                              is that I am developing a two-step test
                              that covers all the conditions in the
                              Challenge, but in the steps I need to
                              include something that rejects the
                              intersections. I am OK with rejecting any
                              line that is 70 degrees to 110 degrees on
                              either side. If the intersecting line is
                              straight, the test is a bit more robust.
                              If each side is 70 to 110 degrees (a bent
                              intersecting line), my two-step test might
                              fail.</div>
                            <div><br>
                            </div>
                            <div>Doing it "that's just wrong" way,</div>
                            <div>John Swindle</div>
                            <div>
                              <div class="m_-5699930273498463671h5">
                                <div><br>
                                  <br>
                                  <div
                                    style="font-family:arial,helvetica;font-size:10pt;color:black">-----Original

                                    Message-----<br>
                                    From: Doug Paradis <<a
                                      moz-do-not-send="true"
                                      href="mailto:paradug@gmail.com"
                                      target="_blank"><a class="moz-txt-link-abbreviated" href="mailto:paradug@gmail.com">paradug@gmail.com</a></a>><br>
                                    To: John Swindle <<a
                                      moz-do-not-send="true"
                                      href="mailto:swindle@compuserve.com"
                                      target="_blank"><a class="moz-txt-link-abbreviated" href="mailto:swindle@compuserve.com">swindle@compuserve.com</a></a>><br>
                                    Cc: DPRG <<a
                                      moz-do-not-send="true"
                                      href="mailto:dprglist@lists.dprg.org"
                                      target="_blank"><a class="moz-txt-link-abbreviated" href="mailto:dprglist@lists.dprg.org">dprglist@lists.dprg.org</a></a>><br>
                                    Sent: Fri, Dec 8, 2017 11:52 pm<br>
                                    Subject: Re: LF intersection angle
                                    rule<br>
                                    <br>
                                    <div
id="m_-5699930273498463671m_-2867064402782409486AOLMsgPart_2_81c7d011-0908-4c74-95cc-d249b881afbf">
                                      <div
                                        class="m_-5699930273498463671m_-2867064402782409486aolReplacedBody">
                                        <div dir="ltr">John,
                                          <div>    In the challenge
                                            course, all the
                                            intersections are 90
                                            degrees. The rule was
                                            written to allow crossing
                                            variations in the future.
                                            I'm thinking that  70-90
                                            degrees would represent the
                                            smallest angle of the
                                            intersection. I not sure
                                            that is right, just the way
                                            I would interpret the
                                            angle.  </div>
                                          <div>if you saw an
                                            intersection that was like
                                            this:</div>
                                          <div>           |   /</div>
                                          <div>           | /</div>
                                          <div>           /</div>
                                          <div>         / |</div>
                                          <div>        /  |</div>
                                          <div>       /   |</div>
                                          <div><br>
                                          </div>
                                          <div>What angle would you say
                                            the intersection was? </div>
                                          <div><br>
                                          </div>
                                          <div>Regards,</div>
                                          <div>Doug P.</div>
                                        </div>
                                        <div
                                          class="m_-5699930273498463671m_-2867064402782409486aolmail_gmail_extra"><br>
                                          <div
                                            class="m_-5699930273498463671m_-2867064402782409486aolmail_gmail_quote">On

                                            Fri, Dec 8, 2017 at 9:03 PM,
                                            John Swindle <span
                                              dir="ltr"><<a
                                                moz-do-not-send="true"
                                                class="m_-5699930273498463671moz-txt-link-abbreviated"
href="mailto:swindle@compuserve.com" target="_blank"><a class="moz-txt-link-abbreviated" href="mailto:swindle@compuserve.com">swindle@compuserve.com</a></a>></span>
                                            wrote:<br>
                                            <blockquote
                                              class="m_-5699930273498463671m_-2867064402782409486aolmail_gmail_quote"
                                              style="margin:0 0 0
                                              .8ex;border-left:1px #ccc
                                              solid;padding-left:1ex"><font
                                                face="Arial, Helvetica,
                                                sans-serif" size="2"
                                                color="black">
                                                <div>
                                                  <div>Doug,</div>
                                                  <div> </div>
                                                  <div>The Line
                                                    Following Challenge
                                                    rules say
                                                    "Intersections may
                                                    cross with angles of
                                                    70 - 90 degrees."
                                                    Doesn't that really
                                                    mean 70 to 110
                                                    degrees? Is the
                                                    intersecting line
                                                    straight, or can it
                                                    bend at the
                                                    intersection?</div>
                                                  <div> </div>
                                                  <div>Thanks,</div>
                                                  <div>John Swindle</div>
                                                  <div> </div>
                                                  <div
                                                    style="color:black;font-family:arial,helvetica;font-size:10pt"><br>
                                                  </div>
                                                </div>
                                              </font></blockquote>
                                          </div>
                                          <br>
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