The Hilbert curve is a kind of curve. As long as the function is appropriately selected and a continuous parameter curve is drawn, when the parameter t takes a value between 0 and 1, the curve will traverse all the points in the unit square and obtain a space-filling curve. curve.
As you can see, the Hilbert curve is a very beautiful curve. We can use it to beautify our board and do some useful things. For example, this project ESP32 heating table uses Hilbert curve as a The wire produces a certain resistance and is used to generate heat.
Here is his resistance calculation formula, you can refer to it.
PCB trace resistance calculation:
Resistivity of copper: ρ=0.0175Ωmm 2 /m
Trace length: L
Trace width: W
PCB copper thickness: D=0.035mm
PCB trace resistance: R=(ρL)/(1000×WD)
Hilbert curve length calculation:
Order: n
Unit length: d
Total length: l=(2 2n -1)×d
Here I refer to the tutorial of the B station video and use this UP code. You can check it out. Here I will put the link to the code . After entering, just click the DownloadZip button to download the code and unzip it for later use.
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