But what about the unlined, non-equilateral triangles that I can draw between any 3 arbitrary points in the given plane? Did you count those triangles!?!
If you want to be pedantic and call someone out, atleast make sure you’re correct… there’s one rule, not two, the first isn’t 5x while the others are 3x +2.
This isn’t a hard concept to understand, but it is incredibly ironic you called someone else out first and are still making this same folly….
Or let me explain it this way, you said they failed their math assignment, do you know of any assignment that would be marked correct by using two different rules to explain a singular ruled equation……?
The first part, there’s not two rules, the first isn’t 5x… that would be marked incorrect on an assignment….
How is this so hard for you to understand? You seem to have wanted to call out OP for being off by 2, while you’re just using the wrong equation to begin with.
You’ve failed your math assignment, there isn’t two rules, do I need to repeat this 5x before you comprehend or something…?
The second triangle is 5 on account of the black triangle on the inside and the compound triangle made up of all three smaller triangles and the fourth negative space triangle. I believe the formula for how many triangles is linear because each iteration of the fractal can be represented as scooping more negative space triangles from the existing set of triangles. Each iteration you scoop out the same number of black triangles as you had white triangles the previous iteration, creating two more white triangles for every white triangle you had before, and adding one more compound triangle.
The numbers we see though from each early iteration are as follows:
Taking a triangle and making it into a tri-force = 5 times as many triangles, not 3.
Then taking that and making it into further ti-forces is x3+2
You’ve failed your math assignment.
OP only counts the white triangles, not the empty space
Even then, the overall shape forms a new triangle. x3+1
OP only counts the ones that total to the designated number.
Lmao, well played.
Again, that’s only if you consider that the black parts aren’t “a void”
But what about the unlined, non-equilateral triangles that I can draw between any 3 arbitrary points in the given plane? Did you count those triangles!?!
Everyone knows non-equilateral triangles aren’t real triangles.
It would be 3x +2 not 5x
3 is 11
11 is 35
Re-read my comment and try again.
Hint: OP has never posted 3 triangles.
The rule is 3x +2
The first isn’t 5x, it still follows the same rule.
I never said they did, I was explaining how the rule would apply to anything, the first iteration is never 5x…
What a fucked up way to explain a simple thing, while making yourself wrong at the same time… while attempting to call someone else out… yikes…
Here, maybe some pictures will get it through your thick skull.
One triangle:
Five triangles:
A triangle made into a tri-force equals five times as many triangles.
From there, it becomes x3+2 (Ie: what my original comment, which you failed to read, said.)
1 -> 5 -> 17
Huh, the second still follows the rule of 3x +2…
Why are you incorrectly saying it’s 5x?
If you want to be pedantic and call someone out, atleast make sure you’re correct… there’s one rule, not two, the first isn’t 5x while the others are 3x +2.
This isn’t a hard concept to understand, but it is incredibly ironic you called someone else out first and are still making this same folly….
Or let me explain it this way, you said they failed their math assignment, do you know of any assignment that would be marked correct by using two different rules to explain a singular ruled equation……?
Which part of this statement is incorrect?
At no point have I said further equations are also x5, only the original; 1*5=5.
AGAIN try actually reading the comments you reply to.
1×3+2 = 5
Sure you could claim it’s 5x, but why do that when the other rule you have already works?
Because that was a simpler equation to read and equate to x3.
1x3+2 = 5 = 1*5. They are equivalent.
You’ve failed your math assignment.
The first part, there’s not two rules, the first isn’t 5x… that would be marked incorrect on an assignment….
How is this so hard for you to understand? You seem to have wanted to call out OP for being off by 2, while you’re just using the wrong equation to begin with.
You’ve failed your math assignment, there isn’t two rules, do I need to repeat this 5x before you comprehend or something…?
I said ONE triangle turned into a triforce is 5 times as many triangles as you started with.
Regardless of which equation you use, that is true. Your really that pissed off I showed the simpler equation for a single instance??
I explicitly stated the rule for following equations; to show, regardless, that it’s incorrect.
Nothing I have said is untrue. You’re just being a pedantic asshole.
If the first is only 1 triangle, I can’t see how the second would be anything but 3 triangles.
Three small white triangles, one black triangle and one large multicoloured triangle, I think.
The second triangle is 5 on account of the black triangle on the inside and the compound triangle made up of all three smaller triangles and the fourth negative space triangle. I believe the formula for how many triangles is linear because each iteration of the fractal can be represented as scooping more negative space triangles from the existing set of triangles. Each iteration you scoop out the same number of black triangles as you had white triangles the previous iteration, creating two more white triangles for every white triangle you had before, and adding one more compound triangle.
The numbers we see though from each early iteration are as follows:
1 -> 5 -> 17 -> 53 -> 161
Which happens to conform with 3(n-1)+2
If you’re counting black triangles, the first is 3.
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No really, you should actually read the comments you reply to.
Even you said it:
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