Checkers Puzzle: Geometric and Logical Challenge on a Board
2021-01-03 15:34
This GeoGebra applet presents a classic checkers puzzle with an interactive board and pieces (8 black and 8 white). Using commands like Circle, Polygon, and Sort, it renders the board grid and tokens while implementing move logic through conditional checks. Users attempt to achieve swapping or jumping objectives under constrained rules, with a Restart button for resetting. The applet blends geomet
In collections
Math Games with GeoGebra
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<eqnStyle style="specific"/>
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<command name="Circle">
<input a0="W4" a1="r"/>
<output a0="w4"/>
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<element type="conic" label="w4">
<show object="true" label="false" ev="4"/>
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<fixed val="true"/>
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If[T-S==(-1,0)||T-S==(0,-1),Execute({"SetValue(W4,T)","SetValue(T,S)","SetValue(moves,moves+1)"})]
If[Distance(S,T)==2,Execute({"SetValue(W4,T)","SetValue(T,S)","SetValue(moves,moves+1)"})]"/>
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If[T-S==(-1,0)||T-S==(0,-1),Execute({"SetValue(W6,T)","SetValue(T,S)","SetValue(moves,moves+1)"})]
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If[T-S==(-1,0)||T-S==(0,-1),Execute({"SetValue(W7,T)","SetValue(T,S)","SetValue(moves,moves+1)"})]
If[Distance(S,T)==2,Execute({"SetValue(W7,T)","SetValue(T,S)","SetValue(moves,moves+1)"})]"/>
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If[T-S==(-1,0)||T-S==(0,-1),Execute({"SetValue(W8,T)","SetValue(T,S)","SetValue(moves,moves+1)"})]
If[Distance(S,T)==2,Execute({"SetValue(W8,T)","SetValue(T,S)","SetValue(moves,moves+1)"})]"/>
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<element type="button" label="buttonRestart">
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<ggbscript val="T=(0,0)
B1=(-1,0)
B2=(-2,0)
B3=(-2,-1)
B4=(-1,-1)
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B6=(-2,-2)
B7=(-1,-2)
B8=(0,-2)
W1=(0,2)
W2=(1,2)
W3=(2,2)
W4=(0,1)
W5=(1,1)
W6=(2,1)
W7=(1,0)
W8=(2,0)
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<expression label="B9" exp="(0, -2)" type="point"/>
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</element>
<command name="Sort">
<input a0="{(0, 2), (1, 2), (2, 2), (0, 1), (1, 1), (2, 1), (1, 0), (2, 0), (0, 0)}"/>
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<command name="Sort">
<input a0="{B1, B2, B3, B4, B5, B6, B7, B8, T}"/>
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<element type="list" label="black">
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<labelMode val="0"/>
<ggbscript onUpdate="If[black==success,SetValue(showDone,true),SetValue(showDone,false)]"/>
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</element>
<expression label="text1" exp="" 恭喜成功了，
 您真是厲害！
Congratulations!
You are Genius!""/>
<element type="text" label="text1">
<show object="true" label="false" ev="40"/>
<condition showObject="showDone"/>
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<font serif="false" sizeM="4" size="48" style="1"/>
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<expression label="board" exp="{Polygon[(-2.5, -2.5), (0.5, -2.5), (0.5, -0.5), (2.5, -0.5), (2.5, 2.5), (-0.5, 2.5), (-0.5, 0.5), (-2.5, 0.5)]}" />
<element type="list" label="board">
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<command name="Polygon">
<input a0="{Corner[1], Corner[2], Corner[3], Corner[4]}"/>
<output a0="polyMask"/>
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<element type="polygon" label="polyMask">
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</element>
<expression label="textRule" exp=""移動規則
1. 當旁邊有空位時，黑棋只能向上或向右移動
2. 當旁邊有空位時，白棋只能向下或向左移動
3. 棋子也可以跳過其他鄰接的棋子移動




Rules to move
1. The BLACK marble can be moved UP or RIGHT 
 to an adjacent open space
2. The WHITE marble can be moved DOWN or LEFT 
 to an adjacent open space
3. The marble may jump over other marbles that are 
 right next to the marble.""/>
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</element>
<expression label="textTarget" exp=""遊戲目標：將所有黑棋與白棋對調
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<element type="point" label="A">
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<element type="point" label="D">
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<element type="numeric" label="moves">
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</element>
<command name="LaTeX">
<input a0="moves" a1="true" a2="true"/>
<output a0="textMoves"/>
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<element type="text" label="textMoves">
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</construction>
</geogebra>