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 Colored triangle (Posted on 2018-12-14)
Begin with a finite sequence of blocks in a row, each in one of 3 colors: red, blue, yellow.

Below each pair of neighboring blocks place a new block with the color rule: If the blocks are the same color use that color but if they are different use the third color.

Example:

```r b y y b
y r y r
b b b
b b
b
```
How can the color of the last block be easily predicted from the top row?

Note: I don't know the full answer but can solve special cases.

 No Solution Yet Submitted by Jer Rating: 4.0000 (1 votes)

 Subject Author Date Complete formula FrankM 2020-08-26 08:28:03 The good parts (sketch of proof) FrankM 2018-12-21 09:18:14 Implementation in Excel broll 2018-12-19 01:12:23 re: proposed solution Jer 2018-12-18 11:07:19 re: proposed solution Steve Herman 2018-12-18 11:01:08 proposed solution xdog 2018-12-17 20:03:48 also, some random examples Steven Lord 2018-12-14 21:41:33 in case this helps guide the analysis Charlie 2018-12-14 21:26:20 just a couple of off-the-wall ideas Steven Lord 2018-12-14 17:52:01 One obvious special case Steve Herman 2018-12-14 14:04:57

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