Saturday, September 5, 2015

Tarot Numbers


78 = 0+1+2+3+4+5+6+7+8+9+10+11+12

231 = 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21
231 = 3rd 78-agonal Number
231 = Partitions of 16
231 = 7th Octahedral Number

96 = 0+1+2+3+4+5+6+7+8+9+1+2+3+4+5+6+7+8+9+1+2+3
96 = 6th Octagonal Number
10x4 = 4th Octagonal Number

7x7x7


4+5+6+7+8+9+11+13+14+15+17+18 = 127
7th Centered Hexagon = 127

4+5+6+7+8+9+2+4+5+6+8+9 = 73
4th Star Number = 73

7x7x7 = 343

73 : 55 : 220






4th Star Number = 73
4+5+6+7+8+9+2+4+5+6+8+9 = 73

0+1+2+3+4+5+6+7+8+9+10 = 55
(0+1+2+3+4+5+6+7+8+9+10) x4 = 220

10th Tetrahedral Number = 220

Figured Numbers


At most, 6 circles can divide a plane into 32 regions: ✡
1+2+3+4 =
At most, 5 circles can divide a plane into 22 regions: ☆

✡ - ▵ = ☆