🔒 how many triangles in a larger triangle algorithm help | Python | Page 1

hollow helmBOT Nov 30, 2024, 8:52 AM

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@ebon solstice

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fathom estuary Nov 30, 2024, 8:53 AM

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well - how do you count them?

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i guess the start point is having a way of defining the triangle size... i'd say it's a "size 3" triangle

ebon solstice Nov 30, 2024, 8:54 AM

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ye thats right

fathom estuary Nov 30, 2024, 8:54 AM

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with a size 1 triangle, there are... 1 triangles

ebon solstice Nov 30, 2024, 8:54 AM

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for size 2 theres 5

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and size 3 13 i think

fathom estuary Nov 30, 2024, 8:55 AM

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so how does that break down - a large, then 4 small?

ebon solstice Nov 30, 2024, 8:55 AM

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yes but my problem is how would i make it for n

fathom estuary Nov 30, 2024, 8:55 AM

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yes. so we're figuring out how it works

ebon solstice Nov 30, 2024, 8:55 AM

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ah alr

fathom estuary Nov 30, 2024, 8:56 AM

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how many smalls for a size 3?

ebon solstice Nov 30, 2024, 8:56 AM

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so num 3 is make from 1 large 3 mid and 9 small

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right?

fathom estuary Nov 30, 2024, 8:56 AM

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yes

ebon solstice Nov 30, 2024, 8:57 AM

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the only pattern i found was that theres n^2 small ones and 1 large one

fathom estuary Nov 30, 2024, 8:58 AM

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ebon solstice Nov 30, 2024, 8:59 AM

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those are size 1, 2, 3 and 4 triangles?

fathom estuary Nov 30, 2024, 8:59 AM

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yes

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there are 7x size 2 triangles in a size 4 triangle

ebon solstice Nov 30, 2024, 9:00 AM

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yes

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and 3x size 3

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wait

fathom estuary Nov 30, 2024, 9:01 AM

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so i think there's always 3x the next size down

ebon solstice Nov 30, 2024, 9:01 AM

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i only see 6x 2

fathom estuary Nov 30, 2024, 9:01 AM

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there's an upside down one as well

ebon solstice Nov 30, 2024, 9:01 AM

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oh i see it

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gottcha

void pumice Nov 30, 2024, 9:05 AM

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https://math.stackexchange.com/questions/203873/how-many-triangles

Mathematics Stack Exchange

How many triangles

I saw this question today, it asks how many triangles are in this picture.
I don't know how to solve this (without counting directly), though I guess it has something to do with some recurrence.

...

ebon solstice Nov 30, 2024, 9:05 AM

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where do i go from here so it has:
16x 1
7x 2
3x 3
1x 4

fathom estuary Nov 30, 2024, 9:05 AM

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ebon solstice Nov 30, 2024, 9:06 AM

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where is the anothe x3 size in num 4 i only see 3?

ebon solstice Nov 30, 2024, 9:07 AM

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fathom estuary

if this is true then its just suared numbers?

void pumice Nov 30, 2024, 9:07 AM

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Read the article for the algorithm

ebon solstice Nov 30, 2024, 9:07 AM

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ok

fathom estuary Nov 30, 2024, 9:08 AM

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hmmm maybe that's true - i just threw it together

ebon solstice Nov 30, 2024, 9:08 AM

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ah alr

fathom estuary Nov 30, 2024, 9:08 AM

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yeah that's another option - don't think it through, just copy off the internet like Steve says

ebon solstice Nov 30, 2024, 9:09 AM

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tbh i cant read math i that articale

void pumice Nov 30, 2024, 9:09 AM

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Or just read the article and think it through

hollow helmBOT Nov 30, 2024, 9:13 AM

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🔒 how many triangles in a larger triangle algorithm help

#🔒 how many triangles in a larger triangle algorithm help