计算结构加法3+2
在行列可自由变换的平面上,2点结构有3个
3点结构有6个
所以计算3+2共有18种可能
3ax+2a1共6种
12(3a1+2a1)=5a1+2*5a3+5a4+5a9+3*5a10+2*5a12+2*5a24
13(3a2+2a1)=5a1+5a12+10*5a25+5a27
23(3a3+2a1)=2*5a1+2*5a2+5a4+5a9+3*5a10+5a12+2*5a15+6*5a19+3*5a27+2*5a31
12(3a4+2a1)=5a5+5a7+2*5a8+5a13+2*5a14+3*5a17+5a22+5a29
9(3a5+2a1)=5a6+2*5a7+5a14+3*5a20+5a21+5a28
3(3a6+2a1)=5a8+5a11+5a26
3ax+2a2
30(3a1+2a2)=2*5a1+2*5a2+2*5a3+5a4+2*5a5+5a6+2*5a7+4*5a8+2*5a12+2*5a14+4*5a15+2*5a21+2*5a24+2*5a29
10(3a2+2a2)=5a7+3*5a10+5a14+4*5a19+5a20
49(3a3+2a2)=3*5a1+2*5a2+2*5a4+2*5a6+3*5a7+3*5a9+2*5a12+2*5a13+2*5a14+6*5a17+6*5a20+5a21+2*5a22+6*5a27+3*5a28+4*5a31
49(3a4+2a2)=5a2+2*5a3+2*5a4+3*5a5+2*5a6+2*5a9+3*5a13+6*5a16+3*5a18+2*5a21+2*5a22+2*5a24+6*5a26+3*5a29+4*5a30+6*5a32
48(3a5+2a2)=2*5a2+5a4+3*5a6+2*5a9+2*5a13+2*5a15+6*5a18+2*5a21+4*5a22+6*5a28+4*5a30+4*5a31+10*5a33
10(3a6+2a2)=5a3+5a5+3*5a11+5a16+4*5a23
3ax+2a3
12(3a1+2a3)=5a4+3*5a11+2*5a12+5a13+2*5a14+2*5a24+5a29
3(3a2+2a3)=5a8+5a10+5a17
12(3a3+2a3)=5a1+2*5a3+5a5+5a7+2*5a8+5a9+5a22+3*5a26
23(3a4+2a3)=5a4+3*5a11+5a13+2*5a15+2*5a21+6*5a23+5a24+2*5a29+2*5a30+3*5a32
9(3a5+2a3)=5a2+5a3+2*5a5+5a6+3*5a16+5a18
13(3a6+2a3)=5a24+5a29+5a32+10*5a34
空间的行列可自由变换等价于点以跃迁的方式运动,所以如果在二维平面上有2个点
以2a3的方式被固定。这时还有3个点
以3a1的方式运动,3个点不可分别,且2个在同一行,2个在同一列,2个既不在同一行也不再同一列。当3a1撞到2a3的时候,可能的相对位置关系只有
这7种可能。
假如碰撞是发生在一条横线上,则3+2为
在一条直线上2个点固定,还有3个点分布在这条直线上,这种碰撞的瞬间只可能有一种相对位置关系。
所以整数加法就是一维碰撞,结构加法就是多维碰撞,他们内在逻辑很一致。