Expand The Balanced Ternary To 2D
The balternary may be expanded to bi-dimension in order to represent the complex number, as decimal.For example, 4+i510=11+i1TT3, or just represent as (11,1TT).
Or, consider an orthogonal balanced ternary with an i3 base. For example,
| value | 0 | 1 | 1+i | i | -1+i | -1 | -1-i | -i | 1-i |
|---|---|---|---|---|---|---|---|---|---|
| grid(yx) | 00 | 01 | 11 | 10 | 1T | 0T | TT | T0 | T1 |
| symbol | 0 | 1 | Η | Ι | Ν | T | M | Γ | Π |
4+i510=(-i)*(-9)+(-1-i)*(i3)+(1-i)=T0TTT1OBT=ΓMΠOBT
Read more about this topic: Balanced Ternary
Famous quotes containing the words expand and/or balanced:
“If youth is the period of hero-worship, so also is it true that hero-worship, more than anything else, perhaps, gives one the sense of youth. To admire, to expand one’s self, to forget the rut, to have a sense of newness and life and hope, is to feel young at any time of life.”
—Charles Horton Cooley (1864–1929)
“[T]hat moment of evening when the light and the darkness are so evenly balanced that the constraint of day and the suspense of night neutralize each other, leaving absolute mental liberty. It is then that the plight of being alive becomes attenuated to its least possible dimensions.”
—Thomas Hardy (1840–1928)