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OfflineInsultingLizard
Stranger

Registered: 01/04/20
Posts: 546
Last seen: 3 months, 24 days
Fun fact: syringe spore count
    #26505188 - 02/26/20 04:46 PM (3 years, 10 months ago)

TL;DR: Almost 200 million spores.


I couldn't find that anyone had made this estimation, so I thought some of you might find this interesting.

Today I was looking at some microscope shots I made and noticed I had measured the size of a spore as 11 μm along its long axis. I recalled that when I first opened my package from SporeWorks, the spores were clumped in a roughly 7 mm ball, so it occurred to me that I had enough information to estimate the spore count in those syringes.

First, let's start with the volume of a single spore. A spore is roughly an ellipsoid, but to make things simpler let's say that it's a 11 μm sphere. The volume of a sphere is 4/3 π r³, so
4/3 π (5.5 μm)³ ≅ 696.9 μm³ = S

Next, the volume of that ball of spores:
4/3 π (3.5 mm)³ ≅ 179.6 mm³ = 179,600,000,000 μm³ = B

Now, it's tempting to just divide those two numbers, but keep in mind that spheres pack leaving gaps. In fact, the maximum density of perfectly packed uniform spheres is approximately 75% (25% of the space is wasted). Spores are not uniform (nor spheres to begin with), but this is good enough for an approximation:

.75 B / S ≅ 193.3 10⁶

So, in a really loaded spore syringe there may be close to 200 million spores.


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OfflineMYCELIUMINDED
Fungal phenomenon
I'm a teapot

Registered: 02/25/20
Posts: 24
Loc: Canada
Last seen: 3 years, 3 months
Re: Fun fact: syringe spore count [Re: InsultingLizard]
    #26505198 - 02/26/20 04:53 PM (3 years, 10 months ago)

Hot damn
You
Math^d hard


--------------------
Starting from square 1
More like Petri dish 1
Lololololololo

Mushroom mayhem upon us


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