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In the spirit of the What is a Word™/Phrase™ series started by JLee, a special brand of Phrase™ and Word™ puzzles.


If a number conforms to a special rule, I call it a Voluminous Number™.
Use the examples below to find the rule.

$$ % set Title text. (spaces around the text ARE important; do not remove.) % increase Pad value only if your entries are longer than the title bar. % \def\Pad{\P{0.0}} \def\Title{\textbf{ Voluminous }} % \def\S#1#2{\Space{#1}{20px}{#2px}}\def\P#1{\V{#1em}}\ \def\V#1{\S{#1}{9}} \def\T{\Title\textbf{Numbers }^™\Pad}\def\NT{\Pad\textbf{Not}\T\ }\displaystyle \smash{\lower{29px}\bbox[yellow]{\phantom{\rlap{rubio.2017.02.04}\S{6px}{0} \begin{array}{cc}\Pad\T&\NT\\\end{array}}}}\atop\def\V#1{\S{#1}{5}} \begin{array}{|c|c|}\hline\Pad\T&\NT\\\hline % \text{ 62 }&\text{ 22 }\\ \hline \text{ 18 }&\text{ 35 }\\ \hline \text{ 42 }&\text{ 97 }\\ \hline \text{ 25 }&\text{ 70 }\\ \hline \text{ 76 }&\text{ 45 }\\ \hline \text{ 31 }&\text{ 17 }\\ \hline \end{array}$$

And, if you want to analyze, here is a CSV version:

Voluminous Numbers™,Not Voluminous Numbers™
62,22
18,35
42,97
25,70
76,45
31,17

The puzzle satisfies the series' inbuilt assumption, that each number can be tested for whether it is a Voluminous Number™ without relying on the other numbers.

What is the special rule these numbers conform to?

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  • 1
    $\begingroup$ nice. but rot13(vfa'g n 1 abeznyyl evtug whfgvsvrq ba n qvtvgny 7 frtzrag sbag)? $\endgroup$ – SteveV Sep 9 '18 at 0:46
  • $\begingroup$ @SteveV rot13(Nynf, lbh ner evtug! V nffhzrq yrsg nyvtazrag, jubbcf!) $\endgroup$ – Jamie Barker Sep 9 '18 at 0:50
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A Voluminous Number™️ is

a number so that when it’s digits are written digitally and laid over each other, they cover all possible placements for a digital number (like an 8). Assume a 1 is left aligned for 31 to work.

Picture for reference:
digits

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