Ideal RPG/Wargame Dice (D12 on D60)

prusaprinters

<h3>Ideal RPG/Wargame Dice</h3><p>Each time you need to roll "one more than before", it becomes more difficult by the same factor (133%), approximately.</p><p>Great for sensible difficulty increases in RPGs and Wargames that use a lot of Die Modifiers (+/- DMs)</p><p>Can be used in game design to eliminate complicated rules, extra tables, and mental arithmetics. Also great as a drop-in replacement for a D12 or 2D6.</p><p>Includes OpenSCAD source files in case you'd like to modify the design.</p><p>Based on</p><ul><li>pmoews' D60: <a href="https://www.thingiverse.com/thing:1045263">https://www.thingiverse.com/thing:1045263</a></li><li>my own intuitive D20: <a href="https://www.thingiverse.com/thing:2811944">https://www.thingiverse.com/thing:2811944</a></li></ul><h3>Printing</h3><p>Printing with an FDM/FFF printer, I recommend printing two separate halves and glueing them together with super glue.</p><p>The files include two halves with two registering holes to ensure proper aligment.</p><p>Use a 8 mm length of 1.75 mm diameter filament in each of the registering holes for assembly.</p><h3>Probabilities</h3><p>The Ideal Dice feature the following distribution:</p><pre><code class="language-plaintext">1: 15x 2: 11x 3: 9x 4: 6x 5: 5x 6: 3x 7: 3x 8: 2x 9: 2x 10: 1x 11: 1x 12: 2x </code></pre><p>The chances of achieving a certain number or higher are:</p><pre><code class="language-plaintext">1: 100% :-) 2: 75% 3: 57% 4: 42% 5: 32% 6: 23% 7: 18% 8: 13% 9: 10% 10: 6.7% 11: 5.0% 12: 3.3% </code></pre><p>The chances of success for each increase of +1 are reduced to the following percentage of the unmodified chances:</p><p>1 + 1: 75%<br>2 + 1: 76%<br>3 + 1: 74%<br>4 + 1: 76%<br>5 + 1: 74%<br>6 + 1: 79%<br>7 + 1: 73%<br>8 + 1: 75%<br>9 + 1: 67%<br>10 + 1: 75%<br>*11 + 1: 67%</p><p>So the die is not perfect, due to only having a finite number of faces, but I think it's pretty good :-)<br>History</p><p>I came up with this die out of frustration with convention die roll modification systems back in the late 1980s, calling it the "logarithmic die". Attempts to build such a die by modifying existing D20 dies resulted in ugly, stickered, poorly-rolling creations so that I gave up on the concept.</p><p>My hopes that someone else would have the same idea and come up with a nice mass-produced die of this type unfortunately never materialized.</p><p>With the advent 3D printing, it suddenly became easy to have good-looking and accurate dice printed, so I designed D20 dice in FreeCAD, which came out great.</p><p>As the D20 only delivers numbers from 1 to 7, I kept looking for a bigger die that would give a greater range of numbers, and when I found pmoews' D60, that was just perfect for the purpose as it can be used to give a range of 1 to 12, just what many games need.</p><p>So, here's the ideal logarithmic D60 for you! :-)</p>