Rules:
Make the numbers 1-100 using six 6s
Use the operations + - * / exponentiation and !
No Rounding as in $((6 - (6 + 6) / 6) + 6!!) / 6 = 9$
No using other digits
Multi digit numbers and .6 is allowed
Use overhead lines for recurring decimals: $.\overline{6} = .66... = \frac{2}{3}$
Multifactorial is allowed but each multifactorial can’t have more than 10 factorials: $(6+6)!!!!!!!=12*5=60$
Subfactorials are allowed: $!n=\lfloor{\frac{n!}{e}+\frac{1}{2}}\rfloor$
Have Fun!
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6$\begingroup$ Um, isn't 1-100 kinda too much to ask for in one puzzle? 😅 $\endgroup$– 41686d6564Apr 23, 2020 at 8:59
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4$\begingroup$ Why was this closed? It is clearly focused on 1 problem. $\endgroup$– DenverCoder1Apr 23, 2020 at 11:45
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2$\begingroup$ @JMP It's only punishment if you don't like math. I found this fun and I was able to complete it in a reasonable amount of time (less than 2 hours). $\endgroup$– DenverCoder1Apr 23, 2020 at 11:51
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4$\begingroup$ Yeah why is it closed? There are other puzzles out there that are also 1-100 but they are still open! $\endgroup$– MatheinsteinApr 23, 2020 at 11:52
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1$\begingroup$ Agreed, and voted to reopen. $\endgroup$– Rand al'ThorApr 23, 2020 at 12:04
2 Answers
All 100 complete!
(Using $6! = 720,\ 6!! = 48$)
$6+6+6/6-6-6 = 1$
$6+6/6+6/6-6 = 2$
$6+6+.6-6-.6 \times 6 = 3$
$6+6+6 \times .\overline{6}-6-6 = 4$
$6+6-.6-.6 \times .\overline{6}-6 = 5$
$6+.6+.6 \times .\overline{6}-6/6 = 6$
$6+6+.6+.6 \times .\overline{6}-6 = 7$
$6+6+6-6-.\overline{6} \times 6 = 8$
$6+6+6/6-.\overline{6} \times 6 = 9$
$6+6+.\overline{6}-.\overline{6} \times .\overline{6} \times 6 = 10$
$6+6+6-6-6/6 = 11$
$6+6+6+6-6-6 = 12$
$6+6+6+6/6-6 = 13$
$6+6+6/6+6/6 = 14$
$6+6+6 \times .\overline{6}-6/6 = 15$
$6+6+6+6 \times .\overline{6}-6 = 16$
$6+6+6/6+.\overline{6} \times 6 = 17$
$6+6 \times 6-6 \times .\overline{6} \times 6 = 18$
$6+6+.6+.6 \times .\overline{6}+6 = 19$
$6+6+6+6-.\overline{6} \times 6 = 20$
$6+6+6-.6+.6 \times 6 = 21$
$6/6-.6+6 \times .6 \times 6 = 22$
$6+6+6+6-6/6 = 23$
$6+6+6+6+6-6 = 24$
$6+6+6+6+6/6 = 25$
$6+6 \times 6 \times .\overline{6}-.\overline{6} \times 6 = 26$
$6 \times 6+.6-6-.6 \times 6 = 27$
$6+6+6+6+.\overline{6} \times 6 = 28$
$6+6 \times 6 \times .\overline{6}-6/6 = 29$
$6+6+6 \times 6 \times .\overline{6}-6 = 30$
$6+6/6+6 \times .\overline{6} \times 6 = 31$
$6+6 \times 6-6-.\overline{6} \times 6 = 32$
$6+6-.6+6 \times .6 \times 6 = 33$
$6+6 \times 6 \times .\overline{6}+.\overline{6} \times 6 = 34$
$6+6 \times 6-6-6/6 = 35$
$6+6+6+6+6+6 = 36$
$6+6/6+6 \times 6-6 = 37$
$6/6+6/6+6 \times 6 = 38$
$6+6 \times 6+.6-.6 \times 6 = 39$
$6+6 \times 6+6 \times .\overline{6}-6 = 40$
$6-.6-.6 \times .\overline{6}+6 \times 6 = 41$
$6+6+6+6 \times .\overline{6} \times 6 = 42$
$6+.6+.6 \times .\overline{6}+6 \times 6 = 43$
$6+6+6 \times 6-.\overline{6} \times 6 = 44$
$6+6 \times 6-.6+.6 \times 6 = 45$
$66 \times .6+.6 \times .\overline{6}+6 = 46$
$6+6+6 \times 6-6/6 = 47$
$6+6+6+6 \times 6-6 = 48$
$6+6+6/6+6 \times 6 = 49$
$66-6-6-.\overline{6} \times 6 = 50$
$66 \times .6+6-.6+6 = 51$
$6+6+6 \times 6+.\overline{6} \times 6 = 52$
$66 - 6 - 6 - 6/6 = 53$
$6 \times 6+6 \times 6 \times .\overline{6}-6 = 54$
$66+6/6-6-6 = 55$
$6!!+6!!-6 \times 6-.\overline{6} \times 6 = 56$
$6 \times 6-.6+6 \times .6 \times 6 = 57$
$66+6 \times .\overline{6}-6-6 = 58$
$66-.6-.6 \times .\overline{6}-6 = 59$
$6+6+6+6+6 \times 6 = 60$
$66+.6+.6 \times .\overline{6}-6 = 61$
$66+6-6-.\overline{6} \times 6 = 62$
$66+6/6-.\overline{6} \times 6 = 63$
$6 \times 6 \times .\overline{6} \times .\overline{6} \times .\overline{6} \times 6 = 64$
$66+6-6-6/6 = 65$
$6+6 \times 6+6 \times .\overline{6} \times 6 = 66$
$66+6+6/6-6 = 67$
$6 \times 6+6 \times 6-.\overline{6} \times 6 = 68$
$66+6+.6-.6 \times 6 = 69$
$66+6+6 \times .\overline{6}-6 = 70$
$6 \times 6+6 \times 6-6/6 = 71$
$6+6 \times 6+6 \times 6-6 = 72$
$6/6+6 \times 6+6 \times 6 = 73$
$66+6+6-.\overline{6} \times 6 = 74$
$66+6-.6+.6 \times 6 = 75$
$6 \times 6+6 \times 6+.\overline{6} \times 6 = 76$
$66+6+6-6/6 = 77$
$66+6+6+6-6 = 78$
$66+6+6+6/6 = 79$
$6!!/6+6 \times 6+6 \times 6 = 80$
$6!!+6 \times 6+.6-.6 \times 6 = 81$
$66+6+6+.\overline{6} \times 6 = 82$
$6!/6-6/6-6 \times 6 = 83$
$6+6+6 \times 6+6 \times 6 = 84$
$6!/6+6/6-6 \times 6 = 85$
$66 \times .\overline{6}+6+6 \times 6 = 86$
$.6+6 \times 6 \times .6 \times .\overline{6} \times 6 = 87$
$6!/6+6 \times .\overline{6}-6 \times 6 = 88$
$6!!+6+6 \times 6-6/6 = 89$
$6 \times 6 \times 6 \times .\overline{6} \times .\overline{6}-6 = 90$
$6!!+6+6/6+6 \times 6 = 91$
$6!! \times 6 \times .\overline{6} \times .\overline{6}-6 \times 6 = 92$
$6!!+6!!+6/6-.\overline{6} \times 6 = 93$
$6!!+6+6 \times 6+.\overline{6} \times 6 = 94$
$6!!+6!!+6-6-6/6 = 95$
$66+6+6 \times .\overline{6} \times 6 = 96$
$6!!+6!!+6+6/6-6 = 97$
$66+6 \times 6-.\overline{6} \times 6 = 98$
$6!/6+.6-6 \times .6 \times 6 = 99$
$6!!+6!!+6+6 \times .\overline{6}-6 = 100$
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$\begingroup$ How does 6!! = 48? Does 6!! mean something different from (6!)!? $\endgroup$ Apr 23, 2020 at 20:43
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1$\begingroup$ @AhmedAbdelhameed Yes, it is a double factorial which is evaluated as $n \cdot (n-2) \dots$. $6!! = 6 \cdot 4 \cdot 2 = 48$. $\endgroup$ Apr 23, 2020 at 20:46
Some numbers missing from eyl327's answer
$80=6!/6-6\cdot6-.\bar6\cdot6$
$83=6!/6-6\cdot6-6/6$
$85=6!/6-6\cdot6+6/6$
$88=6!/6-6\cdot6+.\bar6\cdot6$
$96=6!/6-6-6-6-6$