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    <p>In the past I've done this in a brute force-ish sort of way. Here's a chunk of C++ code that works well... but for a hardcoded lower and upper limits (0 and 5000):</p> <pre><code>int PickYUnits() { int MinSize[8] = {20, 20, 20, 20, 20, 20, 20, 20}; int ItemsPerUnit[8] = {5, 10, 20, 25, 50, 100, 250, 500}; int ItemLimits[8] = {20, 50, 100, 250, 500, 1000, 2500, 5000}; int MaxNumUnits = 8; double PixelsPerY; int PixelsPerAxis; int Units; // // Figure out the max from the dataset // - Min is always 0 for a bar chart // m_MinY = 0; m_MaxY = -9999999; m_TotalY = 0; for (int j = 0; j &lt; m_DataPoints.GetSize(); j++) { if (m_DataPoints[j].m_y &gt; m_MaxY) { m_MaxY = m_DataPoints[j].m_y; } m_TotalY += m_DataPoints[j].m_y; } // // Give some space at the top // m_MaxY = m_MaxY + 1; // // Figure out the size of the range // double yRange = (m_MaxY - m_MinY); // // Pick the initial size // Units = MaxNumUnits; for (int k = 0; k &lt; MaxNumUnits; k++) { if (yRange &lt; ItemLimits[k]) { Units = k; break; } } // // Adjust it upwards based on the space available // PixelsPerY = m_rcGraph.Height() / yRange; PixelsPerAxis = (int)(PixelsPerY * ItemsPerUnit[Units]); while (PixelsPerAxis &lt; MinSize[Units]){ Units += 1; PixelsPerAxis = (int)(PixelsPerY * ItemsPerUnit[Units]); if (Units == 5) break; } return ItemsPerUnit[Units]; } </code></pre> <p>However something in what you've said tweaked me. To pick nice axis numbers a definition of "nice number" would help:</p> <ul> <li>A "nice" number is one that has 3 or fewer non-zero digits (eg. 1230000)</li> <li>A "nice" number has the same or few non-zero digits than zero digits (eg 1230 is not nice, 1200 is nice)</li> <li>The nicest numbers are ones with multiples of 3 zeros (eg. "1,000", "1,000,000")</li> <li>The second nicest numbers are onces with multples of 3 zeros plus 2 zeros (eg. "1,500,000", "1,200")</li> </ul> <p>Not sure if the above definition is "right" or actually helpful (but with the definition in hand it then becomes a simpler task to devise an algorithm).</p>
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    1. COI like your definition of a 'nice' number. These rules give me something tangible to shoot for.
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    2. COThis is similar to the solution that evolved from one of my own questions. It seems that a mostly brute-force method is the way to go: http://stackoverflow.com/questions/302406/algorithm-to-determine-the-usual-cash-payment-amounts-for-a-given-price
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