wayne
发表于 2019-12-11 14:32:57
22棵树28行
ABCVKOUVJNTVDMSVELRVGHPVFIQVALOQAMNPAJSUAKRTJKPQEHKNDIJOFHJLGIKMDETUEFMODGLNFGRSCHORCINSBHMUBILTBEQSBDPRCGQUCFPT
+1-1*Uy+1*Tx*Uy-1*Uy*Uy,+1*Tx+1*Uy-1*Uy*Uy,+1*Tx*Tx+1*Uy-2*Uy*Uy,+1+1*Sx-1*Tx,+1*Qx+1*Uy,-1+1*Py-1*Uy,+1*Px-1*Tx-1*Uy,-1+1*Iy+1*Tx,+1*Hy-1*Tx-1*Uy,+1*Gy-1*Tx-2*Uy,-1+1*Fy+1*Tx+1*Uy,-1+1*Cy,+1+1*Ey-1*Tx,-2+1*Dy+1*Tx-1*Uy,+1*By-1*Tx+1*Uy,+1*Fx+1*Uy,-1+1*Ny-1*Uy,+1*Sy-1*Uy,-1+1*Rx,+1*Ix+1*Uy,-1+1*My-1*Uy,+1*Gx-1*Tx-1*Uy,+1*Jy-1*Uy,+1*Nx-1*Tx,+1+1*Mx-1*Tx,+1*Jx-1*Tx,-1+1*Ty,+1*Hx-1*Tx-1*Uy,-1+1*Ex,+1+1*Dx-1*Tx,-1+1*Ry
Tx,Uy,Sx,Qx,Py,Px,Iy,Hy,Gy,Fy,Cy,Ey,Dy,By,Fx,Ny,Sy,Rx,Ix,My,Gx,Jy,Nx,Mx,Jx,Ty,Hx,Ex,Dx,Ry
Ax=1,Ay=0,Az=0,Bx=1,Bz=0,Cx=1,Cz=0,Kx=0,Ky=1,Lx=1,Ly=0,Ox=0,Oy=0,Qy=0,Ux=0,Vx=0,Vy=1,Vz=0,
{{1, 0, 0}, {1, -2*Root + Root^2, 0}, {1, 1, 0},
{-1 - Root + Root^2, 2 + 2*Root - Root^2, 1},
{1, -1 - Root + Root^2, 1}, {-Root, 1 - Root^2, 1},
{Root^2, Root + Root^2, 1},
{Root^2, Root^2, 1}, {-Root,
1 + Root - Root^2, 1}, {-Root + Root^2,
Root, 1}, {0, 1, 1}, {1, 0, 1}, {-1 - Root + Root^2,
1 + Root, 1}, {-Root + Root^2, 1 + Root, 1},
{0, 0, 1}, {Root^2, 1 + Root, 1}, {-Root, 0, 1}, {1, 1, 1},
{-1 - Root + Root^2, Root, 1},
{-Root + Root^2, 1, 1}, {0, Root, 1}, {0, 1, 0}}
另外还有一个等价的图形:
mathe
发表于 2019-12-11 14:47:38
最后一个很赞,能画成七个方向全对称吗?
这个结果应该很重要。
主贴170楼有16棵15行的图,可以将那个画成五个方向全对称,看看两者是否有关联
https://bbs.emath.ac.cn//thread-703-1-1.html
wreck
发表于 2019-12-11 22:39:51
应该是可以的,直接取正7边形的7个顶点即可。
wreck
发表于 2019-12-11 22:56:03
另外,在网址https://www2.stetson.edu/~efriedma/trees/
中,提供了一个比较美观的图形,不确定和170楼中的图形是不是等价的。
wayne
发表于 2019-12-12 07:49:27
wreck 发表于 2019-12-11 22:39
应该是可以的,直接取正7边形的7个顶点即可。
顶点的度数不匹配.应该 就是这种类似的图形,赞
mathe
发表于 2019-12-12 08:04:00
16点15边楼上的没错,但是更上面的图是21点21边,而我们要的是22点28边:
mathe
发表于 2019-12-13 17:06:15
24棵30行的例子
[+1*t^2-1/5]
A(1/2-5*t/2,5*t/2-1/2)
B(1/2-5*t/2,-5/2*t-3/2)
C(5*t/2-3/2,-5*t/2+1/2)
D(5*t/2+3/2,-5*t/2-1/2)
E(5*t/2-1/2,3/2-5*t/2)
F(-5*t/2-1/2,-5*t/2+1/2)
G(+1,+1)
H(-5*t,-1)
I(+1,-1)
J(-1,-5*t)
K(-1,+1)
L(-t,-t)
M[+0,+1,0];
N(1/2-5*t/2,-1)
O(+1,+0)
P(+0,+1)
Q[+1,+0,0];
R(-1,-5*t/2+1/2)
S[+1,5*t/2+1/2,0];
T(+0,+0)
U[+1,5*t/2-1/2,0];
V(+0,-5*t/2-1/2)
W(-5*t/2-1/2,+0)
X(-5*t/2-1/2,-5*t/2-1/2)
MQSUMPTVNOUXNRVWOQTWPRSXJKMRGIMOJLNPHINQHLORGKPQIJUVGLTXHKSWFMWXCNSTERTUAPUWDQVXBOSVCKLVFGHUAIKTDILWBHJXEGJSABMNCFQRDEOP
wayne
发表于 2019-12-13 17:27:57
我也同步的画一下:lol :
24棵树30行
MQSUMPTVNOUXNRVWOQTWPRSXJKMRGIMOJLNPHINQHLORGKPQIJUVGLTXHKSWFMWXCNSTERTUAPUWDQVXBOSVCKLVFGHUAIKTDILWBHJXEGJSABMNCFQRDEOP
mathe
发表于 2019-12-13 17:45:42
这两个呢?
[+1*t^2-1*t-1]
A(+0,+1)
B(-t-1,1/2)
C(2*t+1,3*t/2+1)
D(2*t-1,t/2)
E(t+1,-t/2)
F(+1,+0)
G(+1,1-t/2)
H(-2*t-1,-t/2)
I(t,1/2)
J(+0,t/2+1/2)
K[+1,-t/2,0];
L[+1,t/2,0];
M(-1,t/2)
N(2*t+1,t/2+1)
O(t,1/2-t/2)
P(t,+0)
Q(t+1,t/2+1/2)
R(-t,t/2+1/2)
S(2*t+1,-t/2)
T(+0,+0)
U[+0,+1,0];
V[+1,+0,0];
W(+1,t/2)
X(t+1,1/2)
IOPULNOXJQRVKMRTHNQWGMPSKLUVGHTXIJSWAGKOBHLRFILQDGINCHJMEJKPAJTUBIVXFGUWCLTWDKSXEHSVARWXBOSTEQUXDMVWFPTVCNSUABMNEFORCDPQ
[+1*t^2-2*t+1/2]
A[+0,+1,0];
B(4*t/7+4/7,3/7-4*t/7)
C(3-t,-1/2)
D(2*t-1,1-t)
E(4*t-6,3-2*t)
F(8-4*t,-1)
G(t,1/2-t)
H(5-2*t,1-t)
I(4*t/7+2/7,-2*t/7-1/7)
J(2*t-2,3-2*t)
K(2*t-2,1-t)
L(2*t-2,-1)
M(+0,+1)
N[+1,t-1,0];
O(2,3-2*t)
P(+1,t-2)
Q(+1,+0)
R(2,+0)
S[+1,+0,0];
T(+0,+0)
U(2,1-2*t)
V(+1,-t)
W[+1,1-t,0];
X(+0,-1)
ANSWAMTXAPQVAORUAJKLQRSTUVWXCJNRBJMQEJOSDJPTENPXDMOWFLSXGLTWHLRVILQUBFKRCGKQEIKTDHKSBIOXCHPWEFMUDGNVFHNOGIMPCFIVBGHUBCDE
mathe
发表于 2019-12-13 17:48:14
另外
+1*v14*v15-2*v14-1*v15+1*v16+1*v17
+1*v1*v14+1*v14-1*v15-3*v16-1*v17+3
+1*v1*v17+1*v14-1*v15-2*v16-1*v17+2
+1*v7+1*v14-2*v15-1*v17+1
+1*v10*v14-1*v10*v17-1*v14+2*v15-1*v16+1*v17-1
+1*v0*v15-1*v0+1*v14-3*v15+1*v16-1*v17+2
+1*v1*v15-1*v1+1*v14-2*v15-1*v16-1*v17+3
+1*v10*v15-1*v10+1*v14-3*v15+1*v16-1*v17+2
+1*v15^2+2*v14-1*v15-1*v16-2*v17+1
+1*v0*v16-1*v0-1*v14+3*v15-2*v16+1*v17-1
+1*v1*v16-1*v1+1*v14-1*v15-3*v16-1*v17+4
+1*v10*v16-1*v10-1*v14+3*v15-2*v16+1*v17-1
+1*v14*v16-2*v14+1*v15+1*v17-1
+1*v15*v16+1*v14-1*v15-1*v16-1*v17+1
+1*v16^2+1*v15-2*v16
+1*v15*v17-6*v14-2*v15+3*v16+5*v17-1
+1*v16*v17-3*v14+1*v16+2*v17-1
+1*v2-1*v14-1*v15+1
+1*v3-1*v15+1*v16-1
+1*v4+1*v14-3*v15+1*v16-1*v17+1
+1*v5-2*v14+1*v16+1*v17-1
+1*v6-2*v14-1*v15+1*v16+1*v17
+1*v8-1*v14+1*v16-1
+1*v9-1*v14+1*v15+2*v16+1*v17-4
+1*v11+1*v14-3*v15-1*v17+2
+1*v12-1*v15-1*v17+1
+1*v13-2*v14+1*v15+1*v17-1
+1*v0*v14-1*v0*v17-1*v14+2*v15-1*v16+1*v17-1
+1*v14^2-1*v17^2-17*v14-3*v15+7*v16+17*v17-4
+1*v14*v17-1*v17^2-14*v14-3*v15+6*v16+14*v17-3
A[+1,v0,0];
B(v2,v9)
C(v2,v3)
D(+1,+0)
E(+0,+1)
F(v5,v4)
G(+0,v10)
H(v6,v11)
I(v12,v7)
J[+1,v1,0];
K(v8,+0)
L(v13,v4)
M(v14,+1)
N(v5,v3)
O(v2,v4)
P[+1,+0,0];
Q(v6,v15)
R(v5,v16)
S(v6,v3)
T(+0,+0)
U(v17,v7)
V(v8,+1)
W[+0,+1,0];
X(v8,v7)
AJPWAIQVAHRXFGUVEFSXEGTWDKPTCKQUBKRSBDNVCDMXBCOWFLOPGLMRELNQHIOTHJNUIJMSAMNOLSTUKVWXIPUXJRTVHQSWCNPSDORUBMQTEMPVGOQXFNRW
和
+1*v18*v19+1/2*v18+3/2*v19-1*v20
+1*v1+3*v19-1*v20-1*v21+1
+1*v3-1*v19-1*v21
+1*v4+1*v19-1*v20-1*v21
+1*v5-1*v18-2*v19+2*v20+2*v21-1
+1*v6+1*v18+1*v19-1*v20+1*v21-1
+1*v7+1*v19-1*v20+1*v21-1
+1*v8+1*v19+1*v21-1
+1*v18^2+1*v19-1*v21
+1*v18*v20+1*v18+3*v19-2*v20-1*v21
+1*v19*v20+1*v21
+1*v18*v21-1/2*v18+1/2*v19
+1*v20*v21+1*v19-1*v20
+1*v0-1*v18+1
+1*v2-1*v18-1*v19+1*v20-1*v21
+1*v9-1*v18-2*v19+1*v20
+1*v11+1*v18-1*v20
+1*v12-1*v19+3*v21-1
+1*v13+1*v18+2*v19-2*v20-2*v21
+1*v14+3*v19-2*v20-1*v21-1
+1*v15+2*v21-1
+1*v16-2*v19+1*v20+2*v21-1
+1*v17-1*v18+1*v19+1*v21-1
+1*v19^2-3/8*v18-3/8*v19+1/4*v20+3/4*v21
+1*v20^2+1*v18+1*v19-1*v20+1*v21
+1*v19*v21-1/8*v18-1/8*v19-1/4*v20+1/4*v21
+1*v21^2-3/8*v18-3/8*v19+1/4*v20-1/4*v21
+1*v10-4*v19+2*v20+4*v21-1
A[+0,+1,0];
B(v8,v9)
C(v10,v11)
D(v12,v13)
E(+1,+0)
F(v14,v2)
G(v15,v3)
H(v16,v4)
I(v17,v3)
J(v5,+0)
K(v5,v2)
L(+0,+1)
M[+1,+0,0];
N(v6,v18)
O(v7,v4)
P(v5,v19)
Q(+0,v3)
R[+1,v0,0];
S[+1,v1,0];
T(+0,+0)
U(v6,v20)
V(v7,v2)
W(v6,v4)
X(v7,v21)
AMRSALQTAOVXANUWAJKPGPRXFPQWILNXHMOWFKMVGKLUEJMTDJLSBOTUCNSVBJNRCJOQDGTVEFSUGIMQFHLRDIOREHNQDEWXBHPVCIPUBGSWCFTXBEIKCDHK
方程没有解完,还不能判断是否有实数解