<snapdata remixID="10095523"><project name="U1L3pp3-5-Pinwheel" app="Snap! 6, https://snap.berkeley.edu" version="1"><notes></notes><thumbnail>data:image/png;base64,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</thumbnail><stage name="Stage" width="480" height="360" costume="0" color="255,255,255,1" tempo="60" threadsafe="false" penlog="false" volume="100" pan="0" lines="round" ternary="true" hyperops="true" codify="false" inheritance="false" sublistIDs="false" scheduled="false" 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</pentrails><costumes><list struct="atomic" id="2"></list></costumes><sounds><list struct="atomic" id="3"></list></sounds><variables></variables><blocks></blocks><scripts></scripts><sprites><sprite name="Sprite" idx="1" x="-6.821210263296962e-13" y="-1.1993961379630491e-11" heading="359.99999999998977" scale="1" volume="100" pan="0" rotation="1" draggable="true" hidden="true" costume="0" color="248,0,53.519999999999776,1" pen="tip" id="8"><costumes><list struct="atomic" id="9"></list></costumes><sounds><list struct="atomic" id="10"></list></sounds><blocks></blocks><variables></variables><scripts><script x="10.333333333333343" y="10"><block s="down"></block><block s="setColor"><color>145,26,68,1</color></block></script><script x="10" y="1253.4444434444445"><custom-block s="pinwheel, branches: %s size: %s backup: %s"><l></l><l></l><l></l><comment w="115.33333333333333" collapsed="true">4.3-5.  See inside.</comment></custom-block></script><script x="13.333333333333343" y="1299.333333333333"><custom-block s="pinwheel, branches: %s size: %s backup: %s"><l>120</l><l>2</l><l>0</l><comment w="170" collapsed="false">ITIT 4.9.  Any large number of branches, small size, and 0 backup will do.  Even 30 branches is enough for all but the most eagle-eyed user of retina displays.</comment></custom-block></script><script x="18.666666666666657" y="1419.6666666666665"><custom-block s="asterisk, branches: %s branch length: %s"><l></l><l></l><comment w="90" collapsed="true">5.2 see inside</comment></custom-block></script><script x="18" y="1462.6666666666665"><custom-block s="polygon, branches: %s branch length: %s"><l></l><l></l><comment w="71.33333333333333" collapsed="true">5.3 ditto</comment></custom-block></script><script x="15.333333333333343" y="1502.333333333333"><custom-block s="simpler polygon, number of sides: %s side length: %s"><l></l><l></l><comment w="69.33333333333333" collapsed="true">5.4 ditto</comment></custom-block></script><script x="20.666666666666657" y="1545.6666666666665"><custom-block s="circle, size: %s"><l>9</l><comment w="146" collapsed="true">5.5 (ITIT). Big note inside.</comment></custom-block></script><comment x="22.333333333333343" y="1585.333333333333" w="413.3333333333333" collapsed="false">TIF A.  Getting this just right is very subtle.  The note on 5.5 just above explains how to write a block that draws a circle of a given radius.  If the side of the square is 100, then the diameter of the circle should also be 100, and so the radius should be 50.  And the circle has to start at the midpoint of a side, not at a corner.&#xD;&#xD;That makes the first, second, and fourth block in the following script straightforward, but drawing the picture without the third block makes the circle seem just slightly too big.  Students who try it, and who care about that small inaccuracy, will probably try a smaller approximation of π, and will be very frustrated that they can&apos;t get it right that way.  The secret is that the starting /angle/ of the sprite when drawing the circle is also important, and shouldn&apos;t be the same as the angle for the square.  It should be tilted by half the angle that the circle procedure turns between sides of the polygon that approximates the circle.&#xD;&#xD;Why?  Well, imagine a really coarse approximation, say a pentagon.  How would you inscribe a pentagon in a square?  You really don&apos;t want an entire side of the pentagon colinear with a side of the square; you want just one point, a vertex of the pentagon, to touch the square.  To make the figure symmetrical, you&apos;d turn half the turning angle of a pentagon before starting.&#xD;&#xD;In the script below, the 1.5 degree turning is the result of experimentation and probably isn&apos;t exactly mathematically correct.  Probably you have a hotshot geometry student who&apos;d be glad to figure out the correct value for you.</comment><script x="25.333333333333343" y="1897.6666666666665"><custom-block s="polygon, branches: %s branch length: %s"><l>4</l><l>100</l></custom-block><block s="forward"><l>50</l></block><block s="turn"><l>1.5</l></block><custom-block s="circle, radius: %s"><l>50</l></custom-block></script><comment x="19" y="1344" w="206.66666666666666" collapsed="false">Page 4 TIF solutions are in separate projects:&#xD;U1L3p4-Kandinsky&#xD;U1L3p4-pinwheel</comment><script x="152.33333333333337" y="11.333333333333258"><block s="doRepeat"><l>21</l><script><block s="forward"><l>100</l></block><block s="forward"><l>-70</l></block><block s="turn"><block s="reportQuotient"><l>360</l><l>21</l></block></block></script></block></script><comment x="272.61946614583337" y="109.33333333333326" w="242.66666666666666" collapsed="false">You will need 5 copies of this script.&#xD;To duplicate a script, right-click (or control-click) on its&#xD;TOPMOST block.  (In this case, the REPEAT block.)&#xD;You will see a menu of options. Choose &quot;duplicate.&quot;  &#xD;Move the copy where you want it.</comment><script x="26.333333333333343" y="122.83333333333348"><block s="clear"></block><block s="up"><comment w="53.333333333333336" collapsed="true">3.5</comment></block><block s="gotoXY"><l>100</l><l>0</l></block><block s="down"></block><custom-block s="pinwheel, branches: %s"><l>6</l></custom-block><block s="up"></block><block s="gotoXY"><l>-100</l><l>0</l></block><block s="down"></block><custom-block s="pinwheel, branches: %s"><l>8</l></custom-block></script><script x="58.33333333333337" y="314.0000000000001"><block s="clear"></block><block s="setColor"><color>248,6,0,1</color><comment w="166" collapsed="true">TIF 3.A.&#xD;The PINWHEEL block makes huge pinwheels, so I made a SMALL PINWHEEL block for use here.</comment></block><block s="doRepeat"><l>12</l><script><block s="down"></block><custom-block s="small pinwheel, branches: %s"><l>12</l></custom-block><block s="up"></block><block s="forward"><l>40</l></block><block s="turn"><l>30</l></block><block s="changePenHSVA"><l><option>hue</option></l><l>8</l></block></script></block></script><script x="320" y="404.16666666666663"><block s="clear"></block><block s="setColor"><color>248,6,0,1</color></block><block s="doRepeat"><l>12</l><script><block s="down"></block><custom-block s="small pinwheel, branches: %s"><l>21</l></custom-block><block s="up"></block><block s="forward"><l>50</l></block><block s="turn"><l>30</l></block><block s="changePenHSVA"><l><option>hue</option></l><l>8</l></block></script></block></script><script x="27.33333233333329" y="554.1111101111112"><block s="doGotoObject"><l><option>center</option></l><comment w="160" collapsed="true">TIF 3.B.  As always with TIFs, this isn&apos;t The Official Solution.  It embodies a bunch of aesthetic judgments, e.g., the problem doesn&apos;t say to use a thicker pen, but it looks better.</comment></block><block s="setHeading"><l>0</l></block><block s="hide"></block><block s="setSize"><l>2</l></block><block s="setColor"><color>0,17,6,1</color></block><block s="down"></block><block s="doForever"><script><block s="doFor"><l>i</l><l>3</l><l>12</l><script><block s="clear"></block><block s="doWarp"><script><custom-block s="pinwheel, branches: %s"><block var="i"/></custom-block></script></block><block s="doWait"><l>.1</l></block></script></block><block s="doWait"><l>.1</l></block><block s="doFor"><l>i</l><l>11</l><l>4</l><script><block s="clear"></block><block s="doWarp"><script><custom-block s="pinwheel, branches: %s"><block var="i"/></custom-block></script></block><block s="doWait"><l>.1</l></block></script></block><block s="doWait"><l>.1</l></block></script></block></script></scripts></sprite></sprites></stage><hidden></hidden><headers></headers><code></code><blocks><block-definition s="pinwheel, branches: %&apos;number of branches&apos;" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doRepeat"><block var="number of branches"/><script><block s="forward"><l>100</l></block><block s="forward"><l>-70</l></block><block s="turn"><block s="reportQuotient"><l>360</l><block var="number of branches"/></block></block></script></block></script></block-definition><block-definition s="small pinwheel, branches: %&apos;number of branches&apos;" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><block s="doRepeat"><block var="number of branches"/><script><block s="forward"><l>20</l></block><block s="forward"><l>-15</l></block><block s="turn"><block s="reportQuotient"><l>360</l><block var="number of branches"/></block></block></script></block></script></block-definition><block-definition s="pinwheel, branches: %&apos;number of branches&apos; size: %&apos;size&apos; backup: %&apos;backup&apos;" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input><input type="%s"></input></inputs><script><block s="doRepeat"><block var="number of branches"/><script><block s="forward"><block var="size"/><comment w="53.333333333333336" collapsed="true">4.5.</comment></block><block s="forward"><block s="reportDifference"><l></l><block var="backup"/></block><comment w="53.333333333333336" collapsed="true">4.4.</comment></block><block s="turn"><block s="reportQuotient"><l>360</l><block var="number of branches"/></block></block></script></block></script></block-definition><block-definition s="asterisk, branches: %&apos;branches&apos; branch length: %&apos;length&apos;" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input></inputs><script><custom-block s="pinwheel, branches: %s size: %s backup: %s"><block var="branches"/><block var="length"/><block var="length"/></custom-block></script></block-definition><block-definition s="polygon, branches: %&apos;branches&apos; branch length: %&apos;length&apos;" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input></inputs><script><custom-block s="pinwheel, branches: %s size: %s backup: %s"><block var="branches"/><block var="length"/><l>0</l></custom-block></script></block-definition><block-definition s="simpler polygon, number of sides: %&apos;sides&apos; side length: %&apos;length&apos;" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%s"></input><input type="%s"></input></inputs><script><block s="doRepeat"><block var="sides"/><script><block s="forward"><block var="length"/></block><block s="turn"><block s="reportQuotient"><l>360</l><block var="sides"/></block></block></script></block></script></block-definition><block-definition s="circle, size: %&apos;size&apos;" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><custom-block s="pinwheel, branches: %s size: %s backup: %s"><l>120</l><block var="size"/><l>0</l></custom-block></script><scripts><comment x="7.333333333333333" y="87.46666666666665" w="476.6666666666667" collapsed="false">The problem is (deliberately) vague about what the &quot;size&quot; of a circle means.  The solution above takes the simplest possible view, namely that the measure of size is arbitrary as long as a size-2 circle is twice the (linear dimension) size of a size-1 circle.&#xD;&#xD;To get a more conventional size unit, remember that the circle is really a 120-gon.  (Any large enough number would work.)  Its perimeter is 120 times the length of a side.  That&apos;s close to the circumference of the circle we&apos;re approximating.  So if we want &quot;size&quot; to be the circumference, we should say</comment><script x="10" y="211.46666666666667"><custom-block s="pinwheel, branches: %s size: %s backup: %s"><l>120</l><block s="reportQuotient"><block var="size"/><l>120</l></block><l>0</l></custom-block></script><comment x="10" y="248.13333333333333" w="474" collapsed="false">If we want &quot;size&quot; to be the radius, the circumference should be 2π times that:</comment><script x="12.666666666666666" y="306.1333333333333"><custom-block s="pinwheel, branches: %s size: %s backup: %s"><l>120</l><block s="reportQuotient"><block s="reportProduct"><block s="reportProduct"><l>2</l><l>3.141592654</l></block><block var="size"/></block><l>120</l></block><l>0</l></custom-block></script><comment x="13.333333333333334" y="366.2666666666667" w="471.3333333333333" collapsed="false">Note, though, that if you make one of those choices, the word &quot;size:&quot; in the title text should really be &quot;circumference:&quot; or &quot;radius:&quot; as desired, so that the user of the block knows what to expect.</comment></scripts></block-definition><block-definition s="circle, radius: %&apos;size&apos;" type="command" category="motion"><header></header><code></code><translations></translations><inputs><input type="%s"></input></inputs><script><custom-block s="pinwheel, branches: %s size: %s backup: %s"><l>120</l><block s="reportQuotient"><block s="reportProduct"><block s="reportProduct"><l>2</l><l>3.14159</l></block><block var="size"/></block><l>120</l></block><l>0</l></custom-block></script></block-definition></blocks><variables></variables></project><media name="U1L3pp3-5-Pinwheel" app="Snap! 6, https://snap.berkeley.edu" version="1"></media></snapdata>