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Route 50. Great Basin, Nevada. (Click image for full-size view.)
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Wednesday, September 14, 2016
Route 50
Friday, September 2, 2016
Grand Canyon, 50 years later
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Bright Angel trail, Grand Canyon south rim, 2016.
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Fifty years ago, my parents started a series of summer trips that eventually took us all around the country. The highlight of our first trip, in 1966, was a hike to the bottom of the Grand Canyon via the Kaibab trail. We stayed overnight at Phantom Ranch, and hiked out the next day on the Bright Angel trail.
My daughter graduated from college last spring, and we drove back home to California, stopping to see some sights along the way. The Grand Canyon was a must, as she had never seen it, and I haven't been back. We drove in the back way, along the Little Colorado, which is pretty spectacular on its own.
The Bright Angel trail looks pretty much the same, and the exhausted (but exhilarated) hikers look familiar. We want to come back and hike from the north rim to the south rim.
Sunday, August 21, 2016
Running on the Jumbo track
Monday, August 15, 2016
Virgelle Ferry, Montana
A while ago, I wrote about the Rocky Hill to Glastonbury ferry in Connecticut. I mentioned the Virgelle ferry across the Missouri River in Montana. I recently came across this wonderful photograph of the Virgelle ferry:
Gary Splittberger, who took the photograph, tells me that there are two other small cable ferries across the Missouri in Montana: the Carter Ferry and the Stafford-McClelland Ferry. I see another trip to Montana in my future.
More on the Virgelle Ferry here (or you can do a search for Virgelle Ferry).
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Virgelle Ferry, near Loma, Montana. Photograph by Gary Splittberger.
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More on the Virgelle Ferry here (or you can do a search for Virgelle Ferry).
Sunday, August 7, 2016
View from the marine terrace, Santa Cruz
The shoreline near Santa Cruz is pretty cool. This article about marine terraces on the Mobile Ranger blog explains it.
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Santa Cruz, California
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Santa Cruz, California
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Thursday, August 4, 2016
Public art: Mission Street, Santa Cruz
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Santa Cruz Mission, Santa Cruz, California
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| Santa Cruz, California |
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UCSC Tanks, Santa Cruz, California
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Wednesday, August 3, 2016
Rail rider, Santa Cruz
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Wilder Ranch, Santa Cruz, California
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I was riding home after a longer-than-expected exploration of the Smith Grade area in Santa Cruz, when I spied this guy putt-putting up the coastal rail line. You can barely see him among the brussels sprouts (Click on the photograph for a larger view).
While he used a powered cart, he reminded me of this hilarious account of a similar wind-powered adventure in Montana, recounted by the inimitable Bill Vaughn.
Tuesday, May 24, 2016
Public art, Amarillo, Texas
On our way back from North Carolina to Santa Cruz via I-40 and Route 66 and taking in some of the sights.
Sunday, March 6, 2016
Arroyo Seco
Sunday, February 21, 2016
Monterey Bay
After moving to California from the East coast, it took me a while to get used to the fact that driving toward the ocean is generally west, not east. Even more confusing is that Santa Cruz faces due south, so the ocean is not to the west here, unless you head north or south of town.
In any case, some days the views in any direction are sublime. We've gotten some rain this winter, so the fields are looking pretty lush again. This is the view looking south toward Monterey from the Coastal View trail in Moore Creek preserve just west of Santa Cruz.
Friday, January 22, 2016
In Patagonia
Many years ago, my roommates made me a gift of Bruce Chatwin's book In Patagonia. The book itself is fantastic. Worth reading and rereading. And it made me want to go to Patagonia someday.
Last year, our kids, who were working and studying in Buenos Aires, invited me to come join them for a week of hiking and exploring in Patagonia. I jumped at the chance, and I was not disappointed with either Patagonia or with Buenos Aires.
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El Chaltén, Patagonia
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Tuesday, January 19, 2016
El Niño comes to Santa Cruz
This past weekend, El Niño brought more rain and big surf to Santa Cruz. This spot, just around the corner from the surf spot at Steamer Lane, is popular with some swimmers who dive off the rocks into this small cove. No diving today.
Update: a friend pointed out that Winslow Homer painted a scene in Maine that resembles this one. The interesting thing is that Homer painted a stop-action image before most cameras (and films) could support the low shutter speeds (less than 1/30 of a second) needed to stop action like this. He had vision.
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The toilet bowl at Lighthouse Point, Santa Cruz.
(As always, you can click the picture for a larger image.)
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| Winslow Homer, West Point, Prout's Neck,1900. The Clark Art Institute, Williamstown, Massachusetts. |
Tuesday, November 24, 2015
Monday, November 2, 2015
Sunday, November 1, 2015
Companion, Wilder Ranch Bike/Run
I biked down the canyon to Companion Bake Shop this morning for a maple-bacon biscuit and a latté. Then I headed up the Route 1 bike trail to Wilder ranch and up the Englesman Loop Trail. There's some nice single-track trail that heads off toward Wilder Creek and Cave Gulch and back to UC Santa Cruz. Great way to start off November.
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| Trail in Cave Gulch. Wilder Ranch, Santa Cruz. |
Saturday, October 3, 2015
Ashland, Oregon
For the first time since we were kids, I'm able to drive to visit my sister, now that she lives on the same coast (and the same continent). Ashland is only about a 7-hour drive from Santa Cruz, and I finally made the trip this weekend. After spending most of the day in the car, I unwound with a run on the trails just south of town.
There is a wonderful dirt road that meanders around the Ashland watershed. I explored a bit this afternoon in the car, but next time I'll bring my mountain bike.
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| View north from the White Rabbit Trail, Oredson-Todd Woods, Ashland, Oregon. |
Today we drove into the hills north of town and explored a bit.
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| In the hills north of Ashland, Oregon. |
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| Ashland Loop Road south of Ashland, Oregon in the Siskiyou Mountains. |
Saturday, March 21, 2015
Barn Raising in Santa Cruz
Buses
Wednesday, March 18, 2015
Go, pi
I have a friend who used to know \(\pi\) to about 50 places. I can barely remember nine. But on pi day last weekend, I wrote a little Go program that approximates \(\pi\) by calculating many terms of an infinite series (Nilakantha's Series).
You can express Nilakantha's series as: $$\pi = 3 + \frac{4}{2\times3\times4} - \frac{4}{4\times5\times6} + \frac{4}{6\times7\times8} - \frac{4}{8\times9\times10} + \dots$$
Here's the Go program:
Not perfect, but not bad (maybe I'm doing something wrong):
You can express Nilakantha's series as: $$\pi = 3 + \frac{4}{2\times3\times4} - \frac{4}{4\times5\times6} + \frac{4}{6\times7\times8} - \frac{4}{8\times9\times10} + \dots$$
Here's the Go program:
package main
import (
"fmt"
"os"
"strconv"
)
const ndefault = 10000
func main() {
// How many iterations?
n := ndefault
if (len(os.Args) > 1) {
n,_ = strconv.Atoi(os.Args[1])
}
if n == 0 { n = ndefault }
fmt.Println("n =", n)
pi := 3.0
s := 1.0 // Sign for alternating terms
// Nilakantha series.
for i := 2.0; i <= float64(n*2); i += 2 {
pi = pi + s * (4 / (i * (i + 1) * (i + 2)));
s = -s
}
fmt.Printf("%1.20f\n", pi)
}
Not perfect, but not bad (maybe I'm doing something wrong):
Starts
going off
rails here.
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approx: 3.14159265358953820879
actual: 3.141592653589793238462643383279502884197
If you really want to know more about the history and the mathematics, there's a nice paper here from the Mathematical Association of America: The Discovery of the Series Formula for \(\pi\).
And the Wikipedia page on \(\pi\).
Pi, a few days late
Everyone knows this one:
$$ A_{circle}=\pi{r^2}$$
But this one is a great wonder:
$$e^{i \pi} = -1$$
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