diff --git a/ipynb/Bike Speed versus Grade.ipynb b/ipynb/Bike Speed versus Grade.ipynb index 99cf236..2d1220a 100644 --- a/ipynb/Bike Speed versus Grade.ipynb +++ b/ipynb/Bike Speed versus Grade.ipynb @@ -6,70 +6,84 @@ "source": [ "
Peter Norvig, 23 Oct, 2017
\n", "\n", - "# Bike Speed versus Grade\n", + "# Bicycling: Speed versus Grade, Eddington Number, and H-index\n", "\n", "Like most people, I bike slower when I'm going up a steep hill than on a flat road. But how much slower?\n", - "To answer that, I downloaded all my recorded past rides longer than 20 miles as ([bikerides20.txt](bikerides20.txt)). (I started recording using \n", - "[Strava](https://www.strava.com/athletes/575579) in mid-2013, but didn't use it across all rides until 2015). Here I parse the file:" + "To answer that, I downloaded all my recorded [Strava](https://www.strava.com/athletes/575579) rides longer than 25 miles as [`bikerides25.tsv`](bikerides25.tsv). Here I parse the file into a set of `Ride` structures:" ] }, { "cell_type": "code", "execution_count": 1, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", + "import re\n", "from collections import namedtuple\n", "\n", - "line = 'Ride\tThu, 8/9/2018\tBRNW\t4:58:07\t68.41 mi\t3,862 ft\t' # Sample line\n", + "Ride = namedtuple('Ride', 'miles, feet, hours, date, title')\n", "\n", - "Ride = namedtuple('Ride', 'miles, feet, kind, date, title, hours')\n", + "def parse_ride(line: str) -> Ride:\n", + " \"\"\"Parse a line from a Strava log file into a `Ride`. Line format is:\n", + " Ride\tThu, 8/9/2018\tBRNW\t4:58:07\t68.41 mi\t3,862 ft\"\"\"\n", + " _, date, title, time, mi, ft = line.strip().split('\\t')\n", + " return Ride(number(mi), number(ft), hours(time), date, title)\n", "\n", - "def parse_ride(line) -> Ride:\n", - " \"Parse a line from a Strava datafile into a `Ride`.\"\n", - " kind, date, title, time, mi, ft = line.strip().split('\\t')\n", - " times = [int(t) for t in reversed(time.split(':'))]\n", - " miles = float(mi.split()[0])\n", - " feet = int(ft.split()[0].replace(',', ''))\n", - " return Ride(miles, feet, kind, date, title, hours(*times))\n", + "def number(string) -> float: return float(re.sub(r'[^0-9.]','', string))\n", "\n", - "def hours(sec, min, hour=0): return sec / 3600 + min / 60 + hour\n", + "def hours(time: str) -> float: \n", + " \"\"\"Convert '1:30:00' to 1.5\"\"\"\n", + " hour, min, sec = map(int, time.split(':'))\n", + " return hour + min / 60 + sec / 3600\n", "\n", - "all_rides = {parse_ride(line) for line in open('bikerides20.txt')}" + "rides = map(parse_ride, open('bikerides25.tsv'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "I'm interested in my \"serious\" rides, so I'll focus on `rides` that are at least a marathon (26 miles) in length, and for those rides collect three vectors of numbers: miles per hour, feet climbed per mile, and total miles:" + "A few of the rides were on stationary bikes and thus have 0 feet climbed; let's filter them out. A few others were mountain bike rides where I spent a lot of time off the bike pushing it uphill; I'll filter out rides < 8 mph:" ] }, { "cell_type": "code", "execution_count": 2, - "metadata": { - "collapsed": false - }, + "metadata": {}, + "outputs": [], + "source": [ + "rides = [r for r in rides if r.feet > 0 and r.miles / r.hours > 8]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Collect three vectors of numbers: miles per hour, feet climbed per mile, and miles per ride. Plot feet per mile versis miles per hour:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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USeqETXql2S4hTAfJJKotwu58dYcXvK/bySH4nddvTmpRKkWGB/3HAhIzFHWS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\nAAAASUVORK5CYII=\n", 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\n", 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" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "rides = [r for r in all_rides if r.miles > 26]\n", "mph = [r.miles / r.hours for r in rides]\n", "fpm = [r.feet / r.miles for r in rides]\n", "mls = [r.miles for r in rides]\n", @@ -81,21 +95,19 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "As expected, there is a lot of variance, but overall speeds get slower as the grade gets steeper. Just eyeballing it, it looks like a curve would be a better fit than a straight line, so I'll fit a quadratic (degree two) polynomial to the data, and make the plot prettier:" + "As expected, there is a lot of variance, but overall speeds get slower as the grade gets steeper. Just eyeballing the scatter plot, it looks like a curve would be a better fit than a straight line, so I'll fit a quadratic (degree two) polynomial to the data, and make the plot prettier:" ] }, { "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, + "execution_count": 4, + "metadata": {}, "outputs": [ { "data": { - "image/png": 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8uIq1UZ+ST/djQWqak5el1QWLzYkSkzFmG/JZbE48dSIDte1XN3RM5FTAahBq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\nQmCC\n", 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\n", "text/plain": [ - "" + "
" ] }, "metadata": {}, @@ -103,24 +115,21 @@ } ], "source": [ - "def poly(X, Y, n):\n", - " \"Best-fit degree-n polynomial for X, Y data.\"\n", - " C = np.polyfit(X, Y, n)[::-1] # Array of coefficients, reversed\n", - " return lambda x: sum(C[i] * x ** i for i in range(n + 1)) \n", - "\n", - "def show(X, Y, xlabel='Grade (feet/mile)', ylabel='Speed (mph)', fit=True): \n", + "def show(X, Y, xlabel='Grade (feet/mile)', ylabel='Speed (mph)'): \n", " plt.rcParams[\"figure.figsize\"] = (12, 10)\n", " plt.style.use('fivethirtyeight')\n", - " plt.scatter(X, Y)\n", - " X1 = list(range(int(min(X)), int(max(X)) + 5))\n", " plt.ylabel(ylabel); plt.xlabel(xlabel)\n", - " plt.minorticks_on()\n", - " plt.grid(True, which='major')\n", - " plt.grid(True, which='minor', alpha=0.4)\n", - " if fit: \n", - " F = poly(X, Y, 2)\n", - " plt.plot(X1, [F(x) for x in X1], 'k-')\n", + " plt.minorticks_on(); plt.grid(True, which='major'); plt.grid(True, which='minor', alpha=0.4)\n", + " plt.scatter(X, Y) \n", + " X1 = sorted(set(X))\n", + " F = quadratic_fit(X, Y)\n", + " plt.plot(X1, [F(x) for x in X1], 'k-')\n", " \n", + "def quadratic_fit(X, Y):\n", + " \"\"\"The quadratic function that best fits the X,Y vectors.\"\"\"\n", + " a, b, c = np.polyfit(X, Y, 2)\n", + " return lambda x: a * x ** 2 + b * x + c\n", + "\n", "show(fpm, mph) " ] }, @@ -128,7 +137,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "So, I average a little under 14 mph when the overall route is fairly flat, with a lot of variability from 12 to 16 mph, depending more on my level of effort than on the grade of the road. But from around 40 or 50 ft/mile, speed falls off quickly, and by 140 ft/mile, I'm down near 8 mph. Note that 140 ft/mile is only 2.7% grade, but if you figure a typical route is 1/3 up, 1/3 down, and 1/3 flatish, then that's 8% grade on the up part.\n", + "So, I average a little under 14 mph when the overall route is fairly flat, with a lot of variability from 12 to 16 mph, depending more on my level of effort than on the grade of the road. But from around 50 ft/mile grade speed falls off quickly: down to 12mph at 80 ft/mile; under 11 mph at 100 ft/mile; and under 9 mph at 130 ft/mile, Note that 130 ft/mile is only 2.5% grade, but if you figure a typical route is 1/3 up, 1/3 down, and 1/3 flatish, then that's 7.5% grade on the up part.\n", "\n", "# Estimating Duration\n", "\n", @@ -137,13 +146,11 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": true - }, + "execution_count": 5, + "metadata": {}, "outputs": [], "source": [ - "def duration(dist, climb, F=poly(fpm, mph, 2)):\n", + "def duration(dist, climb, F=quadratic_fit(fpm, mph)):\n", " \"Given a distance in miles and total climb in feet, return estimated time in minutes.\"\n", " return 60 * dist / F(climb / dist)" ] @@ -152,23 +159,21 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "For example, to get to Pescadero from La Honda, I could take the flatter [coast route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.4039496!2d37.3116594!3s0x808f062b7d7585e7:0x942480c22f110b74!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1), or the shorter [creek route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.3658887!2d37.2538867!3s0x808f00acf265bd43:0xb7e2a0c9ee355c3a!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1); which is faster?" + "For example, to get to Pescadero from La Honda, I could take the flatter [coast route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.4039496!2d37.3116594!3s0x808f062b7d7585e7:0x942480c22f110b74!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1) (15.7 miles, 344 ft climb), or the shorter [creek route](https://www.google.com/maps/dir/La+Honda,+California/Pescadero,+California/@37.2905834,-122.3896683,12z/data=!4m19!4m18!1m10!1m1!1s0x808faed4dc6265bd:0x51a109d3306a7219!2m2!1d-122.274227!2d37.3190255!3m4!1m2!1d-122.3658887!2d37.2538867!3s0x808f00acf265bd43:0xb7e2a0c9ee355c3a!1m5!1m1!1s0x808f00b4b613c4c1:0x43c609077878b77!2m2!1d-122.3830152!2d37.2551636!3e1) (13.5 miles, 735 ft climb); which is faster?" ] }, { "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, + "execution_count": 6, + "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(68.914878773787706, 62.368854685107713)" + "(69.15756109673171, 62.53280536304684)" ] }, - "execution_count": 5, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -181,123 +186,123 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This suggests the coast route takes 7 or 8 minutes longer. Good to know, but other factors (like the scenery) are probably more important in making the choice.\n", + "This suggests the shorter creek route would be about 7 minutes faster. Good to know, but other factors (like the scenery) are probably more important in making the choice.\n", "\n", "# Eddington Number\n", "\n", - "> *Your [Eddington Number](https://www.triathlete.com/2011/04/training/measuring-bike-miles-eddington-number_301789) is the largest integer **e** for which you have bicycled **e** or more miles on **e** different days.*\n", + "The physicist Sir Arthur Eddington was a pre-Strava bicyclist who favored this metric:\n", "\n", - "Let's calculate mine, and see how many rides I need to take to improve it. I'm pretty sure I've done at least 50 rides of 50 miles, so:" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "52" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def eddington(distances):\n", - " return max(e for e, d in enumerate(sorted(distances, reverse=True), 1) if d >= e)\n", + "> *Your [Eddington Number](https://www.triathlete.com/2011/04/training/measuring-bike-miles-eddington-number_301789) is the largest integer** E** for which you have bicycled** E** or more miles on** E** different days.*\n", "\n", - "eddington(mls)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "So **my Eddington Number is 52**: I've done 52 rides of 52 miles or more. Let's see a plot of how far I have to go to improve this number:" + "Let's calculate mine, and see how many rides I need to take to improve it. For various number of miles, I'll list the number of rides of at least that long that I've taken, and the *gap*—the number of additional rides I would need to reach that Eddington number." ] }, { "cell_type": "code", "execution_count": 7, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { - "data": { - "image/png": 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L/v6QJk2CpNfDMmoUIPJKEXI/DilEREREjY0sQ/3ttxDLH7R47ZrjcJUKltGj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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stdout", + "output_type": "stream", + "text": [ + "Mi Rides Gap\n", + "-- ----- ---\n", + "52 53 -1\n", + "53 51 2\n", + "54 48 6\n", + "55 46 9\n", + "56 45 11\n", + "57 42 15\n", + "58 39 19\n", + "59 34 25\n", + "60 33 27\n", + "61 27 34\n", + "62 25 37\n", + "63 23 40\n", + "64 21 43\n", + "65 20 45\n" + ] } ], "source": [ - "def edplot(distances, X):\n", - " M = [min(X), max(X)]\n", - " plt.plot(M, M, 'r-')\n", - " plt.title('Eddington Number = {}'.format(eddington(distances)))\n", - " show(X, [sum(d > x for d in distances) for x in X], fit=False,\n", - " xlabel='Ride Distance', ylabel='Number of Rides longer than distance')\n", - " \n", - "edplot(mls, range(46, 81))" + "def eddington(distances, unit):\n", + " \"\"\"Print information on the number of rides and the Eddington gap.\"\"\"\n", + " print(f'{unit} Rides Gap')\n", + " print(f'-- ----- ---')\n", + " for E in range(1, 1000):\n", + " num_rides = sum(d >= E for d in distances)\n", + " gap = E - num_rides\n", + " if -1 <= gap <= 45:\n", + " print(f'{E:2} {num_rides:2} {gap:2}')\n", + "\n", + "eddington(mls, 'Mi')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Here the gap between the straight line and the dotted line is my Eddington gap: the lines cross at 52 so that's my Eddington Number; at 60 miles the gap is 28, so I nneed 28 60+ mile rides to get an Eddington number of 60.\n", + "So my **Eddington Number is 52**: I've done 53 rides of 52 miles or more, but not 53 rides of 53 miles. \n", "\n", - "# Metric Eddington Number\n", - "\n", - "[Arthur Eddington](https://en.wikipedia.org/wiki/Arthur_Eddington) was born in 19th century England, so he used miles. You can get a bigger number using kilometers:" + "We can also calculate the metric Eddington number:" ] }, { "cell_type": "code", "execution_count": 8, - "metadata": { - "collapsed": false - }, + "metadata": {}, "outputs": [ { - "data": { - "image/png": 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1lUoYhw6FMSkJhqQkWMLCqg7yNslEdeIg4yEXdAbMz9Xh3DUfdLx8A7P7qhGh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\ndPToUbVu3VozZsxQz549y37vlClTtHDhQhUWFqpbt26aPn2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3ie5ef0T3fBmlu9cfUa67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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stdout", + "output_type": "stream", + "text": [ + "Km Rides Gap\n", + "-- ----- ---\n", + "75 75 0\n", + "76 74 2\n", + "77 73 4\n", + "78 71 7\n", + "79 70 9\n", + "80 69 11\n", + "81 66 15\n", + "82 58 24\n", + "83 57 26\n", + "84 52 32\n", + "85 51 34\n", + "86 50 36\n", + "87 48 39\n", + "88 47 41\n", + "89 46 43\n", + "90 45 45\n" + ] } ], "source": [ - "edplot([m * 1.60934 for m in mls], range(70, 101))" + "eddington([m * 1.60934 for m in mls], 'Km')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "My metric Eddington Number is 74, and I only need 13 rides of 80 km (50 miles) to get to 80.\n", + "My **metric Eddington Number is 75**, and I only need 11 rides of 80 km (50 miles) to get to 80.\n", "\n", "# H-Index\n", "\n", - "Inspired by the [h-index](https://en.wikipedia.org/wiki/H-index) for scientific publications (and indirectly by Eddington), I invented a new h-index, or hill-index:\n", + "Inspired by the [h-index](https://en.wikipedia.org/wiki/H-index) for scientific publications (and indirectly by Eddington's h-index-like metric), I invented a new h-index, or hill-index:\n", "\n", "> *Your **h-index** is the largest integer **h** for which you can persistently and repeatedly climb an **h** percent grade at **h** miles per hour.*\n", "\n", - "My h-index is 6, because I regularly climb a 6% grade at 6 miles per hour or more, but I only occasionally climb a 7% grade at 7 mph. What's yours?" + "My h-index is 6, because I can routinely climb a 6% grade at 6 miles per hour or more, but I only very rarely climb a 7% grade at 7 mph. What's yours?" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { @@ -316,7 +321,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.0" + "version": "3.7.0" } }, "nbformat": 4, diff --git a/ipynb/bikerides25.tsv b/ipynb/bikerides25.tsv new file mode 100644 index 0000000..933f76d --- /dev/null +++ b/ipynb/bikerides25.tsv @@ -0,0 +1,437 @@ +Ride Thu, 6/14/2012 Coyote Creek Century with Juliet 8:08:15 100.07 mi 1,513 ft +Ride Sat, 5/13/2017 Morgan Hill iCare Classic 7:27:21 100.05 mi 4,596 ft +Ride Sat, 5/12/2018 ICare Classic, Morgan Hill 6:47:46 91.29 mi 4,160 ft +Ride Sat, 5/6/2017 Wine Country Century 7:15:22 89.49 mi 5,246 ft +Ride Fri, 8/10/2018 Bike Ride Northwest Day 6 6:14:18 84.70 mi 4,380 ft +Ride Sat, 10/1/2016 Half Moon Bay overnight campout 7:30:38 80.07 mi 6,039 ft +Ride Tue, 8/7/2018 Bike Ride Northwest Day 3 6:10:39 78.96 mi 5,092 ft +Ride Sun, 6/15/2014 Sierra to the Sea Day 1 5:34:06 78.53 mi 4,777 ft +Ride Sat, 4/23/2016 Wildflower Century 5:36:10 77.22 mi 4,193 ft +Ride Mon, 6/16/2014 Sierra to the Sea Day 2 5:35:06 74.68 mi 2,451 ft +Ride Fri, 8/12/2016 Half Moon Bay / Harvey's 73/7300 Birthday Ride 6:44:14 74.35 mi 6,610 ft +Ride Wed, 10/14/2015 Half Moon Bay 6:07:55 72.97 mi 7,644 ft +Ride Fri, 1/27/2017 Morning Ride 5:16:50 70.07 mi 2,539 ft +Ride Tue, 6/17/2014 Sierra to the Sea Day 3 4:48:41 68.64 mi 825 ft +Ride Thu, 8/9/2018 Bike Ride Northwest Day 5 4:58:07 68.41 mi 3,862 ft +Ride Sat, 4/15/2017 Pescadero 6:13:12 68.34 mi 6,130 ft +Ride Sun, 6/4/2017 Sequoia Challenge 6:17:25 66.52 mi 7,520 ft +Ride Wed, 8/5/2015 08/05/2015 Palo Alto, CA 4:56:15 66.33 mi 2,054 ft +Ride Fri, 8/28/2015 Pescadaro via OLH 5:18:51 66.01 mi 6,137 ft +Ride Fri, 11/20/2015 Los Gatos 5:29:40 65.73 mi 5,380 ft +Ride Sun, 6/3/2018 The Sequoia 5:58:15 64.92 mi 6,677 ft +Ride Thu, 6/19/2014 Sierra to the Sea Day 5 4:32:55 63.69 mi 2,584 ft +Ride Mon, 8/3/2015 08/03/2015 Palo Alto, CA 4:45:09 63.61 mi 1,877 ft +Ride Fri, 6/10/2016 Morning Ride 4:21:38 62.84 mi 3,196 ft +Ride Sun, 6/2/2013 Woodside Loop and Baylands 4:27:42 62.14 mi 2,169 ft +Ride Wed, 6/12/2013 ride 4:39:46 61.39 mi 2,207 ft +Ride Sat, 4/18/2015 Tunitas + Lobitos Creeks 5:14:38 61.27 mi 6,611 ft +Ride Sat, 11/11/2017 Los Gatos / Bay Trail 4:26:24 60.74 mi 1,316 ft +Ride Sun, 4/17/2016 La Honda / Skyline 5:10:41 60.35 mi 4,551 ft +Ride Mon, 7/3/2017 Los Gatos / Bay Trail 4:25:41 60.28 mi 1,329 ft +Ride Sat, 4/16/2016 OLH - San Gregorio - Tunitas 4:57:40 60.12 mi 4,744 ft +Ride Sun, 1/29/2017 Los Gatos / Guadalupe / San Tomas / Bay Trails 4:33:38 60.11 mi 1,447 ft +Ride Mon, 11/26/2018 Lunch Ride Los Gatos 4:21:35 60.03 mi 1,070 ft +Ride Sat, 10/31/2015 Saratoga Ramble 5:01:57 59.10 mi 3,528 ft +Ride Sat, 8/18/2018 Tour de Menlo 4:03:48 58.81 mi 2,467 ft +Ride Sat, 4/26/2014 OLH - Tunitas Creek 5:15:26 58.69 mi 6,742 ft +Ride Sat, 6/15/2013 Palo Alto to Santa Cruz 4:27:54 58.42 mi 4,431 ft +Ride Sat, 10/11/2014 OLH / La Honda / Tunitas 5:05:23 58.29 mi 6,044 ft +Ride Sat, 7/9/2016 Lunch Ride 3:50:23 58.23 mi 4,042 ft +Ride Wed, 6/18/2014 Sierra to the Sea Day 4 4:57:53 57.64 mi 5,561 ft +Ride Tue, 7/7/2015 07/07/2015 Palo Alto, CA 4:13:20 57.60 mi 1,280 ft +Ride Mon, 8/6/2018 Bike Ride Northwest Day 2 4:35:48 57.58 mi 4,514 ft +Ride Fri, 6/20/2014 Sierra to the Sea Day 6 4:33:39 56.91 mi 4,453 ft +Ride Sat, 6/10/2017 Los Gatos / Creek Trails 3:50:24 56.28 mi 1,365 ft +Ride Sat, 3/4/2017 Lunch Ride 3:58:25 56.26 mi 1,378 ft +Ride Sun, 8/5/2018 Bike Ride Northwest Day 1 3:34:42 55.77 mi 1,824 ft +Ride Sat, 8/13/2016 Petaluma - Point Reyes 4:30:12 54.75 mi 5,286 ft +Ride Sun, 6/7/2015 Tour de Cure 3:59:47 54.65 mi 2,748 ft +Ride Wed, 12/16/2015 Los Gatos 4:00:41 53.86 mi 2,595 ft +Ride Fri, 6/2/2017 Morning Ride 3:57:45 53.49 mi 1,375 ft +Ride Sun, 6/8/2014 Tour de Cure 75K 4:03:05 53.10 mi 2,596 ft +Ride Sun, 11/6/2016 Los Gatos 3:38:28 52.49 mi 1,263 ft +Ride Fri, 2/10/2017 Morning Ride 3:52:39 52.02 mi 1,739 ft +Ride Sat, 2/23/2019 Crystal Springs Dam 4:02:11 51.93 mi 1,946 ft +Ride Fri, 8/11/2017 Saratoga with Peter H 4:30:31 51.74 mi 2,871 ft +Ride Sat, 2/4/2017 Canada Rd 3:46:34 51.66 mi 1,762 ft +Ride Sun, 6/9/2013 Silicon Valley Tour de Cure 75K 3:58:37 51.63 mi 2,929 ft +Ride Sun, 9/3/2017 Morning Ride 4:22:45 51.31 mi 2,526 ft +Ride Mon, 7/27/2015 Palo Alto Cycling 3:48:23 50.93 mi 1,306 ft +Ride Wed, 7/29/2015 07/29/2015 Palo Alto, CA 3:47:53 50.92 mi 1,873 ft +Ride Sun, 6/26/2016 Afternoon Ride 3:16:33 50.78 mi 1,181 ft +Ride Mon, 8/10/2015 08/10/2015 Palo Alto, CA 3:41:54 50.73 mi 1,325 ft +Ride Sat, 10/15/2016 Los Gatos 3:28:16 50.64 mi 1,368 ft +Ride Tue, 12/19/2017 Los Gatos 3:46:37 50.49 mi 1,929 ft +Ride Fri, 6/28/2013 Kaffeehaus San Mateo 3:38:11 50.38 mi 1,028 ft +Ride Thu, 10/5/2017 Big Sur 4:33:33 50.38 mi 4,528 ft +Ride Sun, 11/20/2016 Lunch Ride 3:32:01 50.13 mi 1,847 ft +Ride Sat, 1/13/2018 Canada to Coyote Point 3:59:24 50.09 mi 1,499 ft +Ride Fri, 1/13/2017 Los Gatos Creek 3:52:28 50.01 mi 1,598 ft +Ride Sun, 6/11/2017 Tour de Cure with Juliet 4:11:01 49.49 mi 2,713 ft +Ride Sun, 9/11/2016 Santa Cruz via Mountain Charlie Rd 4:03:04 48.78 mi 3,300 ft +Ride Sat, 7/23/2016 Morning Ride 3:30:50 48.45 mi 1,063 ft +Ride Fri, 3/25/2016 Morning Ride 3:39:53 47.93 mi 2,438 ft +Ride Sat, 8/20/2016 Tour de Menlo with Juliet 3:30:24 47.52 mi 2,133 ft +Ride Sat, 8/15/2015 08/15/2015 Palo Alto, CA 3:35:03 47.12 mi 1,158 ft +Ride Wed, 11/11/2015 Morning Ride 3:45:01 46.54 mi 2,559 ft +Ride Fri, 7/21/2017 Morning Ride 3:35:00 46.19 mi 748 ft +Ride Sat, 9/2/2017 Canada / Sheep Camp Trail 3:45:45 45.72 mi 2,034 ft +Ride Mon, 1/19/2015 Canada Rd, etc. 2:57:14 45.64 mi 1,836 ft +Ride Sun, 11/27/2016 Morning Ride 3:04:11 45.60 mi 1,378 ft +Ride Sun, 7/2/2017 Afternoon Ride 3:10:38 45.30 mi 581 ft +Ride Sat, 10/3/2015 Los Gatos 2:59:26 45.21 mi 1,148 ft +Ride Sat, 7/2/2016 Morning Ride 3:23:20 45.21 mi 1,991 ft +Ride Mon, 1/16/2017 Morning Ride 3:34:28 45.15 mi 1,434 ft +Ride Sun, 1/15/2017 Lunch Ride 3:18:47 45.12 mi 1,873 ft +Ride Sun, 4/9/2017 Lunch Ride 3:10:28 44.76 mi 636 ft +Ride Sun, 10/15/2017 Los Gatos 2:51:53 44.71 mi 1,437 ft +Ride Tue, 10/8/2013 work 3:22:55 44.58 mi 961 ft +Ride Thu, 7/16/2015 07/16/2015 Mountain View, California 3:29:45 44.34 mi 1,339 ft +Ride Sat, 10/28/2017 Mindego Ridge Winery 4:17:45 44.28 mi 4,331 ft +Ride Sun, 9/2/2018 Saratoga 3:31:02 44.04 mi 1,900 ft +Ride Fri, 9/23/2016 Los Gatos 2:53:22 43.93 mi 1,339 ft +Ride Sat, 7/25/2015 07/25/2015 Palo Alto, California 4:02:27 43.62 mi 4,819 ft +Ride Sat, 7/8/2017 Dumbarton / Niles 3:14:55 43.54 mi 627 ft +Ride Sat, 6/9/2018 Kings Mountain 3:41:47 43.47 mi 3,543 ft +Ride Fri, 3/10/2017 Morning Ride 4:13:51 43.22 mi 4,554 ft +Ride Sat, 3/26/2016 Morning Ride 3:36:57 43.18 mi 3,173 ft +Ride Sun, 10/18/2015 Afternoon Ride 3:00:02 43.04 mi 2,323 ft +Ride Sat, 9/20/2014 Kings Mountain 3:26:36 43.00 mi 3,299 ft +Ride Sat, 8/11/2018 Bike Ride Northwest Day 7 3:25:20 42.39 mi 2,241 ft +Ride Sat, 3/18/2017 Morning Ride 3:37:01 42.29 mi 2,231 ft +Ride Sat, 7/11/2015 07/11/2015 Walnut Creek, California 3:09:38 42.29 mi 3,284 ft +Ride Thu, 1/22/2015 OLH, etc. 3:25:09 42.15 mi 2,957 ft +Ride Sun, 11/9/2014 11/09/2014 Palo Alto, CA 3:24:57 42.10 mi 3,096 ft +Ride Sun, 5/15/2016 Afternoon Ride 2:55:51 41.98 mi 1,693 ft +Ride Sat, 3/25/2017 Morning Ride 3:37:45 41.94 mi 2,874 ft +Ride Sun, 6/14/2015 06/14/2015 Palo Alto, CA 2:46:38 41.67 mi 1,086 ft +Ride Sat, 7/28/2018 Coyote Hills / Dumbarton 3:25:39 41.66 mi 1,463 ft +Ride Sun, 8/7/2016 Afternoon Ride 2:42:58 41.19 mi 1,526 ft +Ride Sat, 2/11/2017 Morning Ride 3:19:34 41.16 mi 2,172 ft +Ride Sun, 12/3/2017 Bay Trail 2:53:58 40.86 mi 568 ft +Ride Mon, 5/29/2017 Morning Ride 3:52:04 40.83 mi 3,678 ft +Ride Sat, 2/18/2017 Lunch Ride 3:01:13 40.82 mi 630 ft +Ride Wed, 11/9/2016 Lunch Ride 2:52:06 40.82 mi 1,667 ft +Ride Sat, 5/20/2017 Lunch Ride 3:07:43 40.82 mi 709 ft +Ride Sat, 3/24/2018 Morning Ride 2:56:29 40.69 mi 561 ft +Ride Sun, 11/19/2017 Belmont / Bay Trail 2:53:36 40.60 mi 453 ft +Ride Sun, 3/26/2017 Lunch Ride 2:54:38 40.57 mi 518 ft +Ride Sat, 5/25/2019 Crestview 3:17:16 40.56 mi 2,890 ft +Ride Sat, 9/16/2017 Tour de Coop 3:24:53 40.55 mi 1,125 ft +Ride Thu, 9/3/2015 Morning Ride 3:02:58 40.40 mi 1,181 ft +Ride Sun, 2/5/2017 Morning Ride 2:53:48 40.40 mi 1,608 ft +Ride Sun, 10/23/2016 Lunch Ride 2:41:33 40.33 mi 1,699 ft +Ride Sat, 12/8/2018 Morning Ride 3:27:10 40.33 mi 2,300 ft +Ride Sun, 2/12/2017 Lunch Ride 3:39:38 40.27 mi 2,717 ft +Ride Sat, 12/2/2017 Dumbarton / Niles 2:57:48 40.26 mi 610 ft +Ride Sun, 11/12/2017 Morning Ride 2:54:57 40.24 mi 656 ft +Ride Sat, 11/15/2014 Kings Mountain again 3:25:14 40.18 mi 2,952 ft +Ride Sun, 10/9/2016 Lunch Ride 2:41:06 40.14 mi 1,106 ft +Ride Mon, 11/6/2017 Morning Ride 2:48:12 40.13 mi 509 ft +Ride Sat, 12/17/2016 Morning Ride 3:11:31 40.10 mi 2,133 ft +Ride Fri, 1/12/2018 Morning Ride 2:58:30 40.09 mi 427 ft +Ride Sun, 12/18/2016 Morning Ride 3:04:01 40.03 mi 1,886 ft +Ride Sat, 6/11/2016 Ring of Fire (Partial; Garmin troubles) 3:00:00 40.00 mi 0 ft +Ride Sun, 1/25/2015 Canada Rd 2:45:51 39.99 mi 1,772 ft +Ride Sat, 6/21/2014 Sierra to the Sea Day 7 3:36:53 39.77 mi 3,325 ft +Ride Sat, 9/23/2017 Canada / Crestview 3:25:13 39.77 mi 2,444 ft +Ride Fri, 12/27/2013 OLH to Page Mill 3:24:14 39.73 mi 3,365 ft +Ride Sat, 4/30/2016 Ridge to Bridge 5:40:57 39.67 mi 5,377 ft +Ride Fri, 10/30/2015 OLH - West Alpine 3:28:46 39.51 mi 4,505 ft +Ride Sat, 9/5/2015 Ring of Fire 3:31:55 39.18 mi 3,553 ft +Ride Wed, 8/28/2013 Train Track Crash 2:50:55 39.16 mi 928 ft +Ride Sun, 2/22/2015 Canada Rd Plus 2:57:25 39.14 mi 1,834 ft +Ride Sat, 4/8/2017 Lunch Ride 3:28:52 39.09 mi 3,117 ft +Ride Sat, 11/14/2015 Morning Ride 3:09:31 39.00 mi 2,254 ft +Ride Sun, 3/1/2015 Canada Rd 2:38:11 38.81 mi 1,856 ft +Ride Wed, 11/22/2017 Morning Ride 2:55:22 38.77 mi 892 ft +Ride Sat, 10/29/2016 Morning Ride 3:14:22 38.72 mi 2,201 ft +Ride Sat, 4/6/2019 Coyote Hills / Dumbarton 2:50:52 38.71 mi 650 ft +Ride Wed, 7/22/2015 07/22/2015 Palo Alto, CA 2:55:45 38.68 mi 627 ft +Ride Mon, 6/22/2015 06/22/2015 Palo Alto, CA 2:51:10 38.55 mi 725 ft +Ride Fri, 12/16/2016 Morning Ride 2:54:02 38.46 mi 1,053 ft +Ride Sun, 10/7/2018 Westridge, Canada with Ted 3:09:25 38.29 mi 1,667 ft +Ride Sat, 2/21/2015 Kings Mountain 3:13:05 38.21 mi 3,015 ft +Ride Sat, 9/12/2015 Morning Ride 3:06:03 38.20 mi 3,342 ft +Ride Sun, 2/15/2015 Canada Rd 2:35:29 38.06 mi 1,470 ft +Ride Sun, 11/16/2014 Canada Rd 2:30:41 37.88 mi 1,548 ft +Ride Sun, 10/5/2014 Canada Road Sunday 2:39:39 37.84 mi 1,644 ft +Ride Mon, 11/23/2015 Home from Pigeon Point 3:29:29 37.70 mi 3,133 ft +Ride Sat, 1/6/2018 Morning Ride 2:53:45 37.66 mi 1,503 ft +Ride Sun, 1/7/2018 Dumbarton / Niles 2:39:17 37.64 mi 472 ft +Ride Sun, 12/1/2013 Mt Hamilton 3:47:01 37.56 mi 4,921 ft +Ride Sun, 3/18/2018 Lunch Ride 2:47:48 37.52 mi 827 ft +Ride Sat, 9/22/2018 Morning Ride 2:52:01 37.45 mi 1,798 ft +Ride Sun, 10/22/2017 Afternoon Ride 2:33:27 37.41 mi 1,024 ft +Ride Sun, 5/4/2014 MTV-Woodside 2:41:21 37.41 mi 1,495 ft +Ride Sat, 1/23/2016 Morning Ride 3:39:10 37.35 mi 2,949 ft +Ride Sun, 9/16/2018 Dumbarton / Niles 2:38:41 37.26 mi 722 ft +Ride Sun, 6/10/2018 Canada / Emerald Hills 3:21:31 37.26 mi 2,621 ft +Ride Mon, 5/4/2015 Commute 2:43:06 37.25 mi 189 ft +Ride Sat, 7/7/2018 Runymede Trail 3:01:51 37.07 mi 1,834 ft +Ride Sun, 12/11/2016 Afternoon Ride 2:34:13 37.05 mi 1,463 ft +Ride Sun, 11/29/2015 Mt Hamilton 3:40:48 37.00 mi 4,902 ft +Ride Sat, 1/30/2016 Morning Ride 2:31:37 36.88 mi 1,345 ft +Ride Mon, 2/18/2019 Niles 2:39:39 36.83 mi 571 ft +Ride Sun, 1/21/2018 Alviso 2:35:58 36.82 mi 404 ft +Ride Sat, 8/26/2017 Lunch Ride 2:41:49 36.71 mi 1,115 ft +Ride Sat, 9/13/2014 Emerald Hills 2:55:30 36.71 mi 2,143 ft +Ride Sun, 5/22/2016 Lunch Ride 2:12:20 36.68 mi 1,332 ft +Ride Sat, 11/25/2017 Mt. Hamilton 3:41:22 36.65 mi 4,806 ft +Ride Fri, 10/13/2017 Voyage 2:46:15 36.63 mi 505 ft +Ride Tue, 5/12/2015 05/12/2015 Palo Alto, CA 2:47:15 36.54 mi 499 ft +Ride Mon, 4/20/2015 Commute 2:57:44 36.31 mi 119 ft +Ride Fri, 5/13/2016 Morning Ride 2:41:03 36.21 mi 456 ft +Ride Sat, 12/3/2016 Morning Ride 3:08:37 36.20 mi 2,881 ft +Ride Sun, 12/7/2014 12/07/2014 Palo Alto, CA 2:43:35 36.16 mi 1,569 ft +Ride Sun, 9/30/2018 Canada 2:48:41 36.12 mi 1,480 ft +Ride Fri, 3/30/2018 Morning Ride 2:38:07 36.11 mi 285 ft +Ride Sun, 11/5/2017 Lunch Ride 3:24:01 35.91 mi 2,231 ft +Ride Sun, 2/8/2015 Commute 2:28:46 35.85 mi 1,142 ft +Ride Tue, 6/26/2018 Return from Chabot Lake with Juliet 3:21:30 35.81 mi 817 ft +Ride Sat, 3/30/2019 Morning Ride 3:23:55 35.78 mi 2,861 ft +Ride Sun, 11/22/2015 Pigeon Point 3:14:41 35.73 mi 3,230 ft +Ride Mon, 9/19/2016 Sunnyvale 2:37:04 35.68 mi 745 ft +Ride Thu, 4/9/2015 Palo Alto Cycling 2:35:47 35.51 mi 117 ft +Ride Sun, 8/21/2016 Canada 2:20:21 35.42 mi 1,348 ft +Ride Tue, 10/28/2014 Woodside 2:36:36 35.39 mi 1,560 ft +Ride Sun, 1/27/2019 Crystal Springs Dam Bridge 2:28:21 35.38 mi 1,480 ft +Ride Thu, 4/26/2018 San Mateo 2:38:26 35.31 mi 666 ft +Ride Thu, 12/22/2016 Half Moon Bay 2:53:00 35.26 mi 2,671 ft +Ride Tue, 6/7/2016 Los Altos 2:41:13 35.18 mi 1,070 ft +Ride Sat, 3/15/2014 Canada - Steve 2:51:50 35.01 mi 1,607 ft +Ride Sun, 12/6/2015 Canada Rd 2:15:05 34.67 mi 1,237 ft +Ride Wed, 9/13/2017 Healdburg / Jimtown 2:08:03 34.45 mi 912 ft +Ride Thu, 10/2/2014 10/02/2014 Mountain View, California 3:08:06 34.28 mi 2,864 ft +Ride Sat, 2/1/2014 OLH to Page Mill 3:07:43 34.26 mi 3,099 ft +Ride Sat, 10/21/2017 Pescadero 2:47:08 34.25 mi 2,556 ft +Ride Sat, 7/30/2016 Morning Ride 2:50:15 34.19 mi 2,799 ft +Ride Mon, 7/10/2017 Morning Ride 2:38:59 34.18 mi 984 ft +Ride Thu, 7/31/2014 Work commute 2:36:53 34.15 mi 564 ft +Ride Sat, 12/15/2018 Lunch Ride 2:50:19 34.10 mi 1,683 ft +Ride Sat, 1/20/2018 Afternoon Ride 2:28:18 34.02 mi 525 ft +Ride Sun, 12/4/2016 Morning Ride 2:29:29 34.00 mi 1,161 ft +Ride Sat, 10/8/2016 Lunch Ride 2:25:17 33.95 mi 1,375 ft +Ride Thu, 10/16/2014 Commute 2:40:01 33.76 mi 615 ft +Ride Fri, 11/11/2016 OLH 2:44:59 33.69 mi 2,175 ft +Ride Sat, 9/3/2016 Morning Ride 3:07:28 33.65 mi 2,792 ft +Ride Sun, 4/19/2015 Canada Rd 2:23:17 33.56 mi 1,466 ft +Ride Sat, 8/12/2017 Afternoon Ride 2:41:24 33.54 mi 633 ft +Ride Sat, 2/14/2015 Rancho San Antonio 2:45:23 33.53 mi 2,075 ft +Ride Sat, 2/27/2016 Morning Ride 2:47:15 33.51 mi 2,005 ft +Ride Sun, 9/17/2017 Canada and off road 2:36:04 33.50 mi 1,772 ft +Ride Sat, 2/24/2018 Los Altos Hills on and off road 3:10:47 33.49 mi 2,343 ft +Ride Sun, 1/26/2014 Canada Rd 2:05:59 33.12 mi 1,446 ft +Ride Sat, 4/27/2019 Morning Ride 2:31:48 33.04 mi 1,722 ft +Ride Sun, 5/12/2019 Peninsula Bike Trail to Bay Trail 2:29:05 33.00 mi 846 ft +Ride Sun, 8/20/2017 Lunch Ride 2:23:02 32.96 mi 1,407 ft +Ride Sun, 3/6/2016 Lunch Ride 2:57:54 32.86 mi 2,566 ft +Ride Sun, 3/5/2017 Lunch Ride 2:57:09 32.82 mi 1,713 ft +Ride Sat, 10/21/2017 Back from Pescadero 2:36:50 32.80 mi 2,382 ft +Ride Sat, 12/16/2017 Morning Ride 2:48:58 32.72 mi 2,320 ft +Ride Tue, 8/23/2016 Morning Ride 2:32:15 32.61 mi 354 ft +Ride Fri, 12/9/2016 Morning Ride 3:04:52 32.55 mi 2,365 ft +Ride Sun, 11/1/2015 Lunch Ride 2:20:35 32.49 mi 1,553 ft +Ride Sat, 4/14/2018 Lunch Ride 2:21:49 32.43 mi 666 ft +Ride Fri, 1/26/2018 Morning Ride 2:23:38 32.41 mi 295 ft +Ride Sun, 8/16/2015 08/16/2015 Palo Alto, CA 2:29:53 32.40 mi 1,650 ft +Ride Sat, 5/9/2015 OLH 2:30:17 32.33 mi 2,788 ft +Ride Wed, 1/31/2018 Morning Ride 3:04:15 32.28 mi 2,526 ft +Ride Sat, 4/4/2015 Rancho San Antonio 2:55:37 32.26 mi 2,136 ft +Ride Sat, 3/16/2019 Morning Ride 2:58:43 32.26 mi 2,316 ft +Ride Sun, 12/27/2015 Canada Rd with Juliet 2:24:56 32.22 mi 1,491 ft +Ride Mon, 5/18/2015 05/18/2015 Palo Alto, CA 2:24:45 32.22 mi 807 ft +Ride Sun, 4/8/2018 Lunch Ride 2:21:54 32.18 mi 1,296 ft +Ride Sun, 5/3/2015 Canada Rd 2:12:24 32.02 mi 1,384 ft +Ride Wed, 6/17/2015 06/17/2015 Mountain View, California 2:13:42 32.01 mi 650 ft +Ride Sat, 11/7/2015 Crystal Springs Part 1 2:15:00 32.00 mi 0 ft +Ride Sun, 8/23/2015 Afternoon Ride 2:24:29 31.90 mi 2,444 ft +Ride Sun, 4/12/2015 Palo Alto Cycling 2:01:49 31.76 mi 1,210 ft +Ride Sun, 11/13/2016 Afternoon Ride 2:23:46 31.71 mi 1,273 ft +Ride Fri, 10/7/2016 Morning Ride 2:26:46 31.65 mi 2,382 ft +Ride Thu, 8/15/2013 08/15/2013 Palo Alto, CA 2:19:27 31.64 mi 555 ft +Ride Wed, 10/30/2013 work 2:22:00 31.55 mi 995 ft +Ride Sun, 9/18/2016 Morning Ride 2:20:46 31.48 mi 1,506 ft +Ride Tue, 6/18/2013 work etc (headwinds) 2:03:34 31.48 mi 809 ft +Ride Sun, 3/11/2018 Lunch Ride 2:23:14 31.42 mi 686 ft +Ride Sat, 3/12/2016 Lunch Ride 2:10:01 31.39 mi 1,198 ft +Ride Sun, 1/22/2017 Dumbarton 2:23:36 31.27 mi 591 ft +Ride Sat, 9/29/2018 Kings 2:36:47 31.23 mi 1,949 ft +Ride Sat, 3/23/2019 Morning Ride 2:33:27 31.19 mi 1,529 ft +Ride Sat, 4/13/2019 Alviso 2:10:04 31.18 mi 397 ft +Ride Mon, 11/10/2014 Commute 2:22:39 31.18 mi 800 ft +Ride Mon, 5/25/2015 05/25/2015 Palo Alto, CA 2:19:26 31.14 mi 1,591 ft +Ride Mon, 2/16/2015 Portola Valley Loop 2:09:15 31.11 mi 1,283 ft +Ride Wed, 9/21/2016 Morning Ride 2:16:04 31.09 mi 551 ft +Ride Sat, 3/11/2017 Afternoon Ride 2:19:05 31.04 mi 1,368 ft +Ride Sun, 7/29/2018 Lunch Ride 2:26:56 30.92 mi 1,578 ft +Ride Fri, 11/10/2017 Lunch Ride 2:20:46 30.92 mi 312 ft +Ride Mon, 6/12/2017 Morning Ride 2:20:16 30.90 mi 554 ft +Ride Thu, 12/29/2016 Morning Ride 2:13:46 30.86 mi 1,083 ft +Ride Sat, 4/22/2017 Lunch Ride 2:21:31 30.80 mi 1,237 ft +Ride Mon, 9/7/2015 Healdsburg 2:09:43 30.76 mi 1,037 ft +Ride Sat, 1/14/2017 Afternoon Ride 2:12:37 30.71 mi 466 ft +Ride Mon, 9/4/2017 Kings Mountain 2:40:57 30.69 mi 2,431 ft +Ride Sun, 8/9/2015 08/09/2015 Palo Alto, CA 2:15:39 30.66 mi 1,348 ft +Ride Sat, 12/12/2015 Lunch Ride 2:16:20 30.56 mi 1,434 ft +Ride Thu, 12/28/2017 Morning Ride 2:17:38 30.54 mi 430 ft +Ride Mon, 1/30/2017 Morning Ride 2:19:47 30.49 mi 696 ft +Ride Sun, 8/27/2017 Lunch Ride 2:16:36 30.47 mi 774 ft +Ride Fri, 10/12/2018 Lunch Ride 2:16:25 30.44 mi 348 ft +Ride Mon, 6/25/2018 Chabot Lake Overnight Bike packing with Juliet 3:02:49 30.41 mi 1,250 ft +Ride Sat, 2/28/2015 Palo Alto Cycling 2:40:24 30.37 mi 2,535 ft +Ride Sat, 6/24/2017 Afternoon Ride 2:06:05 30.31 mi 338 ft +Ride Tue, 6/2/2015 06/02/2015 Mountain View, California 2:09:58 30.30 mi 784 ft +Ride Mon, 5/27/2019 Canada / Sheep camp / Water dog lake 2:37:11 30.27 mi 1,444 ft +Ride Sat, 1/2/2016 Los Altos Hills 2:29:48 30.27 mi 1,952 ft +Ride Fri, 6/23/2017 Morning Ride 2:17:16 30.27 mi 515 ft +Ride Sun, 4/2/2017 Morning Ride 2:20:47 30.23 mi 407 ft +Ride Sat, 8/25/2018 Morning Ride 2:22:42 30.22 mi 2,257 ft +Ride Sun, 9/14/2014 09/14/2014 Palo Alto, CA 2:06:48 30.18 mi 1,204 ft +Ride Sat, 8/19/2017 Lunch Ride 2:06:39 30.17 mi 627 ft +Ride Sun, 3/12/2017 Morning Ride 2:18:13 30.16 mi 600 ft +Ride Sat, 11/21/2015 Morning Ride 2:20:54 30.16 mi 1,499 ft +Ride Wed, 10/12/2016 Morning Ride 2:19:51 30.11 mi 328 ft +Ride Sun, 7/8/2018 Lunch Ride 2:12:19 30.04 mi 768 ft +Ride Tue, 11/22/2016 Morning Ride 2:18:57 30.04 mi 518 ft +Ride Wed, 3/4/2015 Commute 2:15:56 30.02 mi 1,125 ft +Ride Sun, 3/25/2018 Dumbarton / Coyote Hills / Middle of the Bay 2:31:51 30.01 mi 709 ft +Ride Tue, 5/31/2016 Google Bike around campus 2:30:00 30.00 mi 0 ft +Ride Tue, 2/14/2017 Morning Ride 2:22:16 29.92 mi 463 ft +Ride Sun, 5/31/2015 05/31/2015 Palo Alto, California 2:35:24 29.85 mi 2,568 ft +Ride Tue, 11/1/2016 Morning Ride 2:15:55 29.78 mi 515 ft +Ride Sun, 6/5/2016 Morning Ride 2:18:02 29.70 mi 1,293 ft +Ride Sun, 5/26/2019 San Carlos / Bay Trail 2:17:51 29.55 mi 620 ft +Ride Thu, 8/13/2015 08/13/2015 Palo Alto, CA 2:13:58 29.51 mi 778 ft +Ride Sun, 7/14/2013 07/14/2013 Palo Alto, CA 2:23:07 29.34 mi 739 ft +Ride Sun, 4/3/2016 Lunch Ride 2:03:38 29.31 mi 810 ft +Ride Mon, 3/9/2015 Palo Alto Cycling 1:57:50 29.21 mi 115 ft +Ride Fri, 2/23/2018 Morning Ride 2:08:28 29.21 mi 166 ft +Ride Sat, 10/7/2017 Afternoon Ride 2:02:43 29.18 mi 394 ft +Ride Sat, 1/17/2015 Palo Alto Cycling 2:08:38 29.06 mi 1,587 ft +Ride Sat, 1/18/2014 Los Altos Hills 2:32:23 29.03 mi 1,918 ft +Ride Sat, 6/20/2015 06/20/2015 Palo Alto, CA 2:06:45 28.87 mi 1,650 ft +Ride Sun, 11/3/2013 work 2:11:08 28.74 mi 841 ft +Ride Wed, 8/16/2017 Lunch Ride 2:15:48 28.67 mi 732 ft +Ride Sat, 1/9/2016 Morning Ride 2:07:35 28.54 mi 1,289 ft +Ride Sat, 9/19/2015 Los Altos Hills 2:31:24 28.51 mi 1,611 ft +Ride Wed, 8/12/2015 08/12/2015 Palo Alto, CA 2:02:14 28.48 mi 751 ft +Ride Sun, 7/23/2017 Morning Ride 2:57:35 28.43 mi 2,562 ft +Ride Mon, 8/24/2015 Morning Ride 2:10:31 28.35 mi 427 ft +Ride Wed, 6/26/2013 work 2:01:29 28.33 mi 627 ft +Ride Sun, 4/28/2019 Arastradsero 2:29:59 28.21 mi 1,355 ft +Ride Sun, 7/19/2015 07/19/2015 Palo Alto, CA 2:00:27 28.17 mi 1,037 ft +Ride Fri, 12/28/2018 Lunch Ride with Juliet 2:17:33 28.10 mi 331 ft +Ride Tue, 5/17/2016 Morning Ride 2:06:55 28.09 mi 551 ft +Ride Wed, 10/5/2016 Morning Ride 2:10:47 28.05 mi 276 ft +Ride Wed, 6/22/2016 Morning Ride 2:00:40 27.99 mi 374 ft +Ride Mon, 3/16/2015 Commute 2:06:51 27.97 mi 70 ft +Ride Sun, 2/25/2018 Lunch Ride 2:10:54 27.88 mi 958 ft +Ride Sat, 10/27/2018 Morning Ride 2:29:13 27.88 mi 1,581 ft +Ride Mon, 6/20/2016 Morning Ride 1:52:13 27.77 mi 531 ft +Ride Sun, 12/2/2018 Lunch Ride 2:34:14 27.72 mi 1,506 ft +Ride Mon, 3/19/2018 Morning Ride 2:06:35 27.62 mi 860 ft +Ride Mon, 12/17/2018 Morning Ride 2:16:12 27.60 mi 246 ft +Ride Sat, 10/14/2017 Afternoon Ride 2:04:53 27.52 mi 387 ft +Ride Sat, 10/18/2014 Bikepacking Monte Bello 2:54:20 27.44 mi 2,992 ft +Ride Sun, 4/15/2018 Morning Ride 2:17:16 27.43 mi 1,667 ft +Ride Mon, 4/10/2017 Morning Ride 2:03:19 27.40 mi 282 ft +Ride Tue, 5/7/2019 Lunch Ride 2:07:55 27.37 mi 820 ft +Ride Sun, 11/25/2018 Afternoon Ride 1:56:26 27.34 mi 203 ft +Ride Wed, 4/29/2015 Palo Alto Cycling 2:03:14 27.33 mi 75 ft +Ride Tue, 1/17/2017 Morning Ride 2:07:17 27.30 mi 535 ft +Ride Tue, 9/30/2014 09/30/2014 Palo Alto, CA 2:07:33 27.28 mi 636 ft +Ride Sat, 9/17/2016 TourDeCoop.org 2:04:27 27.24 mi 479 ft +Ride Sat, 1/12/2019 Lunch Ride 1:58:47 27.24 mi 1,079 ft +Ride Mon, 3/30/2015 Woodside Loop 1:47:46 27.22 mi 1,081 ft +Ride Tue, 11/17/2015 Afternoon Ride 2:04:48 27.12 mi 830 ft +Ride Sun, 8/13/2017 Woodside Loop (Battery ran down) 2:00:00 27.00 mi 1,000 ft +Ride Sat, 1/31/2015 Alpine Rd 2:29:26 26.98 mi 2,362 ft +Ride Sun, 2/28/2016 Woodside Loop 1:43:34 26.93 mi 843 ft +Ride Sun, 4/1/2018 Lunch Ride 2:30:35 26.92 mi 1,831 ft +Workout Wed, 5/3/2017 Palo Alto Road Cycling 2:06:05 26.86 mi 1,411 ft +Ride Fri, 9/9/2016 Morning Ride 1:56:44 26.85 mi 1,086 ft +Ride Sun, 9/23/2018 Morning Ride 1:57:48 26.83 mi 512 ft +Ride Sat, 10/4/2014 Woodside Loop 1:52:09 26.71 mi 1,213 ft +Ride Thu, 5/7/2015 Commute 1:55:36 26.58 mi 68 ft +Ride Sun, 3/24/2019 Afternoon Ride 2:42:45 26.57 mi 2,267 ft +Ride Thu, 8/31/2017 Morning Ride 2:00:02 26.54 mi 817 ft +Ride Sun, 4/24/2016 Afternoon Ride 1:50:08 26.53 mi 935 ft +Ride Sun, 12/17/2017 Lunch Ride 1:50:51 26.53 mi 217 ft +Ride Tue, 7/4/2017 Lunch Ride 1:53:04 26.50 mi 459 ft +Ride Tue, 5/8/2018 Afternoon Ride 2:34:11 26.50 mi 1,791 ft +Ride Tue, 5/26/2015 05/26/2015 Palo Alto, CA 2:01:47 26.50 mi 591 ft +Ride Thu, 8/4/2016 Afternoon Ride 1:55:47 26.49 mi 659 ft +Ride Wed, 6/8/2016 Lunch Ride 1:48:19 26.48 mi 597 ft +Ride Sun, 9/9/2018 Lunch Ride 2:00:49 26.46 mi 479 ft +Ride Sat, 5/21/2016 Maker Faire 1:57:14 26.44 mi 207 ft +Ride Wed, 4/1/2015 Commute 1:55:15 26.44 mi 71 ft +Ride Wed, 6/29/2016 Morning Ride 1:49:33 26.39 mi 561 ft +Ride Sat, 9/9/2017 Lunch Ride 1:59:01 26.38 mi 1,112 ft +Ride Fri, 6/3/2016 Morning Ride 1:56:57 26.38 mi 502 ft +Ride Fri, 3/31/2017 Morning Ride 2:01:41 26.36 mi 495 ft +Ride Sat, 12/13/2014 Westridge (up the back way; after the rain) 2:01:01 26.35 mi 1,495 ft +Ride Sun, 4/14/2019 Huddart - Paul Hopkins 2:08:57 26.34 mi 1,601 ft +Ride Sat, 6/29/2013 Untitled 1:48:50 26.33 mi 1,091 ft +Ride Sat, 4/25/2015 Woodside 1:54:30 26.28 mi 1,220 ft +Ride Tue, 1/31/2017 Morning Ride 2:01:18 26.27 mi 384 ft +Ride Tue, 6/28/2016 Morning Ride 1:55:31 26.27 mi 571 ft +Ride Sat, 5/19/2018 Morning Ride 2:00:24 26.25 mi 958 ft +Ride Thu, 6/30/2016 Morning Ride 1:52:16 26.24 mi 499 ft +Ride Sun, 2/19/2017 Afternoon Ride 1:56:46 26.23 mi 1,138 ft +Ride Thu, 8/18/2016 Morning Ride 1:58:06 26.23 mi 712 ft +Ride Sun, 4/20/2014 Afternoon Ride 1:52:52 26.23 mi 102 ft +Ride Sun, 5/10/2015 Arastadero 1:48:58 26.22 mi 1,148 ft +Ride Thu, 5/19/2016 Morning Ride 1:52:56 26.14 mi 938 ft +Ride Mon, 12/31/2018 Morning Ride 2:00:24 26.11 mi 545 ft +Ride Fri, 12/15/2017 Afternoon Ride 1:51:36 26.07 mi 226 ft +Ride Sun, 1/18/2015 Palo Alto Cycling 1:38:16 26.02 mi 1,257 ft +Ride Mon, 10/3/2016 Morning Ride 1:54:45 26.01 mi 646 ft +Ride Tue, 7/14/2015 07/14/2015 Mountain View, California 2:02:36 25.99 mi 502 ft +Ride Fri, 12/18/2015 Lunch Ride 1:58:57 25.93 mi 909 ft +Ride Tue, 6/13/2017 Morning Ride 1:55:30 25.89 mi 289 ft +Ride Mon, 8/4/2014 To the Sea 2:17:11 25.87 mi 2,080 ft +Ride Wed, 9/25/2013 work and with kris 2:07:40 25.81 mi 593 ft +Ride Sun, 9/13/2015 Afternoon Ride 1:49:31 25.78 mi 1,152 ft +Ride Sun, 3/3/2019 Afternoon Ride 2:00:06 25.73 mi 390 ft +Ride Thu, 1/26/2017 Morning Ride 1:56:09 25.67 mi 259 ft +Ride Sun, 5/6/2018 Morning Ride 1:55:05 25.67 mi 1,148 ft +Ride Sat, 7/29/2017 Lunch Ride 1:53:50 25.65 mi 988 ft +Ride Wed, 8/20/2014 08/20/2014 Palo Alto, CA 1:49:35 25.61 mi 497 ft +Ride Sat, 4/19/2014 Lunch Ride 1:49:37 25.60 mi 1,111 ft +Ride Mon, 9/3/2018 Afternoon Ride 1:59:08 25.54 mi 331 ft +Ride Mon, 6/2/2014 Work 1:59:33 25.51 mi 627 ft +Ride Fri, 12/11/2015 Afternoon Ride 2:12:40 25.44 mi 1,719 ft +Ride Fri, 2/9/2018 Morning Ride 1:56:11 25.41 mi 318 ft +Ride Sun, 8/26/2018 Afternoon Ride 1:49:16 25.37 mi 377 ft +Ride Sun, 7/9/2017 Afternoon Ride 1:50:30 25.36 mi 682 ft +Ride Mon, 6/26/2017 Morning Ride 1:52:26 25.34 mi 226 ft +Ride Fri, 9/14/2018 Lunch Ride 1:50:05 25.34 mi 541 ft +Ride Fri, 3/1/2019 Morning Ride 2:00:23 25.34 mi 121 ft +Ride Sun, 1/13/2019 Lunch Ride 1:51:40 25.33 mi 715 ft +Ride Wed, 4/12/2017 Morning Ride 1:59:22 25.33 mi 686 ft +Ride Wed, 6/14/2017 Morning Ride 1:51:32 25.33 mi 308 ft +Ride Sat, 11/28/2015 Lunch Ride 1:43:56 25.31 mi 1,122 ft +Ride Mon, 11/27/2017 Morning Ride 1:55:39 25.31 mi 184 ft +Ride Fri, 11/28/2014 11/28/2014 Palo Alto, CA 1:45:13 25.30 mi 1,112 ft +Ride Fri, 4/13/2018 Morning Ride 1:53:39 25.28 mi 344 ft +Ride Fri, 9/15/2017 Morning Ride 1:56:55 25.28 mi 384 ft +Ride Tue, 12/31/2013 Woodside Loop - Last Ride of the Year 1:45:28 25.27 mi 1,207 ft +Ride Sun, 10/14/2018 Lunch Ride 2:13:13 25.23 mi 1,421 ft +Ride Sat, 11/22/2014 Atherton to Woodside 1:43:10 25.21 mi 1,095 ft +Ride Sat, 6/4/2016 Morning Ride 1:57:23 25.19 mi 922 ft +Ride Mon, 8/8/2016 Morning Ride 1:52:38 25.17 mi 423 ft +Ride Fri, 11/6/2015 Morning Ride 1:51:45 25.15 mi 538 ft +Ride Mon, 12/18/2017 Afternoon Ride 1:52:56 25.15 mi 741 ft +Ride Fri, 6/24/2016 Afternoon Ride 1:35:25 25.11 mi 623 ft +Ride Sat, 6/25/2016 Afternoon Ride 1:44:43 25.10 mi 568 ft +Ride Sat, 1/25/2014 Woodside 1:33:38 25.08 mi 1,243 ft +Ride Tue, 4/29/2014 Woodside 1:46:03 25.08 mi 886 ft +Ride Thu, 4/13/2017 Morning Ride 2:06:13 25.06 mi 266 ft +Ride Sun, 6/12/2016 Morning Ride 1:49:25 25.04 mi 387 ft +Ride Thu, 6/8/2017 Morning Ride 1:56:19 25.02 mi 285 ft +Ride Thu, 10/13/2016 Morning Ride 1:47:30 25.02 mi 253 ft +Ride Sun, 1/19/2014 01/19/2014 Palo Alto, CA 1:36:55 25.01 mi 1,201 ft +Ride Mon, 9/5/2016 Afternoon Ride 1:42:56 25.00 mi 902 ft +Ride Sat, 11/8/2014 Atherton - Woodside 1:40:51 25.00 mi 972 ft +Ride Sun, 12/10/2017 Exercise Bike 1:30:00 25.00 mi 0 ft