4/14/26

Finally made progress understanding the relation between point sources, magnetic fields, and electron clouds. The orbital patterns in electron diagrams aren't random — they're derived by an offset of two charge-like points.

Ran two sources in OPPOSE at inverse square. The visual resemblance to the excited hydrogen atom electron orbital is obvious.

Need to think about what this means. Electron orbitals are clearly magnetic, but the charge dynamics alone should cause a collision with the nucleus. Something doesn't make sense yet...

CLICK ANYWHERE TO CONTINUE

GRADIATRON 3000
QUICK REFERENCE

  1. Set Source 1 position (X, Y) and Max Radius in HUD I
  2. Pick a color and display mode (Two-Tone or Heat Map)
  3. Select a falloff law: Linear, Inv², or Inv³
  4. Hit GENERATE to render the field
  5. Toggle Source 2 ON to add a second field point
  6. ALIGN = fields add; OPPOSE = fields subtract (shown in complementary color)
  7. Hit PRINT for a hi-res 1000×1000 export

Note: In OPPOSE mode, perceived brightness varies by color due to human vision. Try different colors for best contrast.

RANGE ≠ Max Radius! For INV² and INV³, the field never truly hits zero — RANGE shows where it drops below ~5%. Linear is the only mode with a hard cutoff.
The dark line in OPPOSE mode = the null boundary where B&sub1; = B&sub2;. Try offsetting sources vertically to see the saddle point shift!
Heat map mode is better for locating field nulls. Two-tone loses detail in the low-intensity regions — switch modes to compare!!
philosophy
underground
Dipole result!!
A:  1/r²
B: −1/(r+1)²
A+B: 1/r² − 1/(r+1)²
 = (2r+1) / r²(r+1)²
 ≈ 1/r³ for large r
→ OPPOSE + INV² = dipole = INV³ !!

Gradiatron 3000

Magnetic Field Simulator

SCALE: 1:1 | ABS
MODE Two-Tone
FALLOFF Linear
SRC 1 (210, 210)
SRC 2 OFF
RADIUS 200
RANGE 200
FIELD PROFILE 1 0 0 rMax
EQUATION
I = max(0, 1 − r/R)
SOURCE 2
OFF
ON
ALIGN
OPPOSE
FALLOFF MODE
LIN INV² INV³
COL
MODE
TWO-TONE
HEAT MAP
TRE
VOL
BAS
MENU
WENDELLINDUSTRIES