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:
“But can see better there, and laughing there
Pity the giants wallowing on the plain.
...
Pygmies expand in cold impossible air,
Cry fie on the giantshine, poor glory which
Pounds breast-bone punily, screeches, and has
Reached no Alps: or, knows no Alps to reach.”
—Gwendolyn Brooks (b. 1917)
“I balanced all, brought all to mind,
The years to come seemed waste of breath,
A waste of breath the years behind
In balance with this life, this death.”
—William Butler Yeats (18651939)