独立钻石棋（孔明棋）钻石盘面演示
2021-01-07 05:30
本范例展示了独立钻石棋（孔明棋）的钻石型41孔盘面构造与游戏逻辑。通过GeoGebra的多边形、圆、序列等命令，精确绘制了棋盘网格与棋孔位置，并结合交互逻辑实现了棋子移动与日志记录。该模型体现了几何作图的精确性，为研究组合数学与逻辑推理游戏提供了直观的动态交互平台。
所属专题
用GeoGebra制作数学游戏
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<eqnStyle style="specific"/>
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<input a0="(2, 0)" a1="r"/>
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<element type="conic" label="c19">
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
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<eqnStyle style="specific"/>
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
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<eqnStyle style="specific"/>
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<command name="Circle">
<input a0="(-2, -1)" a1="r"/>
<output a0="c22"/>
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<element type="conic" label="c22">
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
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<eqnStyle style="specific"/>
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<command name="Circle">
<input a0="(-1, -1)" a1="r"/>
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<element type="conic" label="c23">
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<tooltipMode val="2"/>
<fixed val="true"/>
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
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<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(0, -1)" a1="r"/>
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</command>
<element type="conic" label="c24">
<show object="true" label="false" ev="4"/>
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<layer val="0"/>
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
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<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(3, -1)" a1="r"/>
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</command>
<element type="conic" label="c27">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="0"/>
<labelOffset x="-7" y="21"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(3,-1)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="9.75" A3="0" A4="-3" A5="1"/>
<eqnStyle style="specific"/>
<caption val="(3, -1)"/>
</element>
<command name="Circle">
<input a0="(-1, -2)" a1="r"/>
<output a0="c28"/>
</command>
<element type="conic" label="c28">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="0"/>
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
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</element>
<command name="Circle">
<input a0="(0, -2)" a1="r"/>
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<element type="conic" label="c29">
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<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
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<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(0,-2)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
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<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(1, -2)" a1="r"/>
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</command>
<element type="conic" label="c30">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="0"/>
<labelOffset x="-5" y="21"/>
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<tooltipMode val="2"/>
<fixed val="true"/>
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
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<command name="Circle">
<input a0="(-1, -3)" a1="r"/>
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<element type="conic" label="c31">
<show object="true" label="false" ev="4"/>
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<layer val="0"/>
<labelOffset x="-10" y="22"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
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<eqnStyle style="specific"/>
<caption val="(-1, -3)"/>
</element>
<command name="Circle">
<input a0="(0, -3)" a1="r"/>
<output a0="c32"/>
</command>
<element type="conic" label="c32">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="0"/>
<labelOffset x="-7" y="21"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(0,-3)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="8.75" A3="0" A4="0" A5="3"/>
<eqnStyle style="specific"/>
</element>
<command name="Circle">
<input a0="(1, -3)" a1="r"/>
<output a0="c33"/>
</command>
<element type="conic" label="c33">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="255" alpha="0.05000000074505806"/>
<layer val="0"/>
<labelOffset x="-6" y="23"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<ggbscript val="SetValue[F,(1,-3)]
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<lineStyle thickness="1" type="0" typeHidden="1" opacity="0"/>
<eigenvectors x0="1" y0="0" z0="1.0" x1="0" y1="1" z1="1.0"/>
<matrix A0="1" A1="1" A2="9.75" A3="0" A4="-1" A5="3"/>
<eqnStyle style="specific"/>
</element>
<expression label="focusongo" exp="{If[focuson(1) + (1, 0) ∈ checkers, focuson(1) + (2, 0)], If[focuson(1) + (-1, 0) ∈ checkers, focuson(1) + (-2, 0)], If[focuson(1) + (0, 1) ∈ checkers, focuson(1) + (0, 2)], If[focuson(1) + (0, -1) ∈ checkers, focuson(1) + (0, -2)]}" />
<element type="list" label="focusongo">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="1"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<angleStyle val="0"/>
</element>
<command name="Intersection">
<input a0="focusongo" a1="spaces"/>
<output a0="spacesgo1"/>
</command>
<element type="list" label="spacesgo1">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<listType val="point"/>
<pointSize val="9"/>
<pointStyle val="3"/>
<angleStyle val="0"/>
</element>
<expression label="F" exp="(3, 3)" type="point"/>
<element type="point" label="F">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<ggbscript onUpdate="RunClickScript(buttonMove)"/>
<coords x="3" y="3" z="1"/>
<pointSize val="9"/>
<pointStyle val="4"/>
</element>
<expression label="S" exp="(3, 3)" type="point"/>
<element type="point" label="S">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="3" y="3" z="1"/>
<pointSize val="9"/>
<pointStyle val="4"/>
</element>
<expression label="T" exp="(3, 3)" type="point"/>
<element type="point" label="T">
<show object="false" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="3" y="3" z="1"/>
<pointSize val="9"/>
<pointStyle val="4"/>
</element>
<element type="button" label="buttonRestart">
<show object="true" label="true" ev="2"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="191" g="255" b="0" alpha="255"/>
<layer val="7"/>
<labelOffset x="294" y="647"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="spaces={(0,0)}

F=(3,3)
S=(3,3)
T=(3,3)

focuson={}
Gamelog={}

showLog=false
showCoordinate=false
showRule=false
showResult=false
showPattern=false"/>
<font serif="false" sizeM="3" size="40" style="1"/>
<dimensions width="160" height="60" />
<startPoint x="-1" y="-4.6" z="1"/>
<caption val="Restart"/>
</element>
<command name="RemoveUndefined">
<input a0="Sequence[If[(focuson(1) + spacesgo1(k)) / 2 ∈ checkers, spacesgo1(k)], k, 1, Length[spacesgo1]]"/>
<output a0="spacesgo"/>
</command>
<element type="list" label="spacesgo">
<show object="false" label="false" ev="4"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<listType val="point"/>
<pointSize val="9"/>
<pointStyle val="3"/>
<angleStyle val="0"/>
</element>
<command name="Polygon">
<input a0="{(-1.5, -3.5), (-0.5, -3.5), (-0.5, -4.5), (0.5, -4.5), (0.5, -3.5), (1.5, -3.5), (1.5, -2.5), (2.5, -2.5), (2.5, -1.5), (3.5, -1.5), (3.5, -0.5), (4.5, -0.5), (4.5, 0.5), (3.5, 0.5), (3.5, 1.5), (2.5, 1.5), (2.5, 2.5), (1.5, 2.5), (1.5, 3.5), (0.5, 3.5), (0.5, 4.5), (-0.5, 4.5), (-0.5, 3.5), (-1.5, 3.5), (-1.5, 2.5), (-2.5, 2.5), (-2.5, 1.5), (-3.5, 1.5), (-3.5, 0.5), (-4.5, 0.5), (-4.5, -0.5), (-3.5, -0.5), (-3.5, -1.5), (-2.5, -1.5), (-2.5, -2.5), (-1.5, -2.5), (-1.5, -3.5)}"/>
<output a0="polyBoardEdge"/>
</command>
<element type="polygon" label="polyBoardEdge">
<lineStyle thickness="13" type="0" typeHidden="1" opacity="178"/>
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="3"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<ggbscript val="F=(2,2)
S=(2,2)
T=(2,2)
focuson={}
SelectObjects()"/>
</element>
<element type="point" label="A">
<show object="false" label="false" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="8"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="2" y="-3" z="1"/>
<pointSize val="9"/>
<pointStyle val="1"/>
</element>
<command name="Polygon">
<input a0="{Corner[1], Corner[2], Corner[3], Corner[4]}"/>
<output a0="polyBackground"/>
</command>
<element type="polygon" label="polyBackground">
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<show object="true" label="false" ev="4"/>
<objColor r="255" g="215" b="0" alpha="0.5"/>
<layer val="0"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<ggbscript val="S=(2,2)
T=(2,2)
focuson={}
SelectObjects()
showPattern=false"/>
</element>
<command name="Length">
<input a0="checkers"/>
<output a0="numR"/>
</command>
<element type="numeric" label="numR">
<value val="40"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<element type="button" label="buttonMove">
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="8"/>
<labelOffset x="101" y="187"/>
<labelMode val="3"/>
<tooltipMode val="2"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[T,(3,3)]
If[F∈checkers,Execute({"SetValue[focuson,{F}]","SetValue[S,F]"})]
If[F∈spacesgo,SetValue[T,F]]

If[T∈spacesgo,SetValue(Gamelog,CopyFreeObject(If(Last(Gamelog(nGL))=={S},Join(First(Gamelog,nGL-1),{Join(Gamelog(nGL),{T})}),Append(Gamelog,{S,T}))))]

If[T∈spacesgo,Execute({"SetValue[spaces,Append(spaces,S)]","SetValue[spaces,Remove(spaces,{T})]","SetValue[spaces,Append(spaces,(S+T)/2)]","SetValue[focuson,{F}]"})]
If[spacesgo=={},SetValue[focuson,{}],SetValue[S,F]]

SelectObjects()
If[allgo=={},SetValue(showResult,true)]
"/>
<font serif="false" sizeM="2" size="20" style="0"/>
<caption val="MoveScript"/>
</element>
<command name="Length">
<input a0="Gamelog"/>
<output a0="nGL"/>
</command>
<element type="numeric" label="nGL">
<value val="0"/>
<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
</element>
<expression label="showCoordinate" exp="false"/>
<element type="boolean" label="showCoordinate">
<value val="false"/>
<show object="true" label="true"/>
<objColor r="255" g="255" b="255" alpha="0"/>
<layer val="7"/>
<labelOffset x="542" y="733"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="Coordinate"/>
</element>
<command name="Sequence">
<input a0="Circle[checkers(k), 0.375]" a1="k" a2="1" a3="Length[checkers]"/>
<output a0="checkersC"/>
</command>
<element type="list" label="checkersC">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="2"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<selectionAllowed val="false"/>
<lineStyle thickness="3" type="-1" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[spacesgo(k), 0.375]" a1="k" a2="1" a3="Length[spacesgo]"/>
<output a0="spacesgoC"/>
</command>
<element type="list" label="spacesgoC">
<show object="true" label="false" ev="4"/>
<objColor r="255" g="255" b="0" alpha="0.5"/>
<layer val="3"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<selectionAllowed val="false"/>
<lineStyle thickness="1" type="0" typeHidden="1"/>
<listType val="conic"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<angleStyle val="0"/>
</element>
<expression label="focusonC" exp="{Circle[focuson(1), 0.375]}" />
<element type="list" label="focusonC">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="255" alpha="0.4000000059604645"/>
<layer val="3"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<lineStyle thickness="1" type="0" typeHidden="1" opacity="178"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<angleStyle val="0"/>
</element>
<command name="Sequence">
<input a0="Circle[spaces(k), 0.375]" a1="k" a2="1" a3="Length[spaces]"/>
<output a0="spacesC"/>
</command>
<element type="list" label="spacesC">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0.75"/>
<layer val="2"/>
<labelMode val="0"/>
<tooltipMode val="2"/>
<selectionAllowed val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
<angleStyle val="0"/>
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此為鑽石盤面有41孔位，最佳結果是在最後只留下一
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Peg solitaire (or Solo Noble) is a board game for one 
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