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Pluto's Cave

Pluto's Cave is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Pluto's Cave rather than just read about it. In short: Pluto's Cave (or Pluto Cave) is a partially collapsed lava tube on the northern outskirts of Mount Shasta in the Klamath National Forest. Its main entrance is located close to the 99-97 Cutoff c. 12 miles (19 km) North-east of Weed and c. 14 miles (23 km) East-southeast of Grenada.

Pluto's Cave — main illustration
Pluto's Cave — illustration

Key takeaways

  • Pluto's Cave belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Pluto's Cave to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Pluto's Cave from memory before moving on to harder problems.

Reference excerpt

Pluto's Cave (or Pluto Cave) is a partially collapsed lava tube on the northern outskirts of Mount Shasta in the Klamath National Forest. Its main entrance is located close to the 99-97 Cutoff c. 12 miles (19 km) North-east of Weed and c. 14 miles (23 km) East-southeast of Grenada. The tube is roughly 190,000 years old, which is quite old for a lava tube, as they normally collapse quickly (in geological terms), having ceilings only a few metres thick. However, Pluto's Cave is located in a semi-arid climate, where erosion is restricted, which contributes to its survival. The cave was discovered in the spring of 1863 by Nelson Cash, who came upon it while looking for stray cattle. It was further explored in April 1863, and named "Pluto's Cave" after Pluto, the Greek God of the underworld. William Henry Brewer assisted by Clarence King on a field trip for the California Division of Mines and Geology (predecessor of today's California Geological Survey), visited the cave on October 10, 1863. Brewer writes about it a month later on November 11:

October 10 in the morning we went to visit a cave about three-quarters of a mile distant, just discovered, and of which extraordinary stories were told. It was, indeed, quite a curiosity. It is called Pluto’s Cave. The surface of the country is a gentle lava slope, very rocky, with but little soil and with stunted cedars and bushes, the lava rising into innumerable hummocks a few feet high. Under this the cave extends. It looks as if the surface of the great lava flow had cooled, but that the crust had broken somewhere lower down and a long stream of the fluid had run out, leaving a long, empty channel or gallery. The roof of this gallery is beautifully arched—in places it is at least fifty feet high and as many broad. The bottom is of broken blocks of lava, and the sides are occasionally ornamented with fantastic shapes of stone, where the melted or viscous fluid has oozed through cracks, sometimes in a thick, black stream, like tar, then cooled, in others like froth on the surface of the molten mass—but all now cool enough, hard, rough, black rock. We went in near a mile, to the end, or at least to where the fallen fragments blocked up the way. Multitudes of bats lived in it, even to the very end. Near the entrance the roof had broken in in several places, and there were many skulls of mountain sheep that had got in and perished. These are the chamois of the Rocky Mountains and Sierra. They are nearer a goat than sheep, and have enormous horns, hence some hunters call them the "big horn." On one of these skulls the horns were 14 1/2 inches in circumference at the base and 33 inches between the tips. King in 1870, now a director of the Geological Exploration of the Fortieth Parallel, returned to Mount Shasta, and with a fellow explorer revisited the cave, which King recounts in his 1872 book Mountaineering in the Sierra Nevada:

In 1863, in company with Professor Brewer, I visited this very region, and we were then shown an interesting tubular cavern lying directly under the surface of a lava plain. Mr. Palmer and I revisited the spot, and, having tied our mules, descended through a circular hole to the cavern's mouth. An archway of black lava sixty feet wide by eighty high, with a floor of lava sand and rough boulders, led under the basalt in a northerly direction, preserving an incline not more than the gentle slope of the country. Our roof overhead could hardly have been more than twenty or thirty feet thick. We followed the cavern, which was a comparatively regular tube, for half or three quarters of a mile. Now and then the roof would open up in larger chambers, and the floor be cumbered with huge piles of lava, over which we scrambled, sometimes nearly reaching the ceiling. Fresh lava-froth and smooth blister-holes lined the sides. Innumerable bats and owls on silent wing floated by our candles, fanning an air singularly still and dense. After a cautious scramble over a long pile of immense basalt blocks, we came to the end of the cave, and sat down upon piles of debris. We then repeated an experiment, formerly made by Brewer and myself, of blowing out our candle to observe the intense darkness, then firing a pistol that we might hear its dull, muffled explosion.

The formation of this cave, as explained in Professor Whitney's Geological Report, is this: A basalt stream, flowing down from Shasta, cooled and hardened upon the surface, while within the mass remained molten and fluid. From simple pressure the lava burst out at the lower end, and flowing forth left an empty tube. Wonderfully fresh and recent the whole confused rock-walls appeared, and we felt, as we walked and climbed back to the opening and to daylight, as if we had been allowed to travel back into the volcano age. John Muir explored the Mount Shasta area in the winter of 1874–75, and includes the cave on his Shasta circumnavigation guide:

Regaining the low ground at the base of the mountain and holding on in your grand orbit, you pass through a belt of juniper woods, called "The Cedars," to Sheep Rock at the foot of the Shasta Pass. Here you strike the old emigrant road, which leads over the low divide to the eastern slopes of the mountain. In a north-northwesterly direction from the foot of the pass you may chance to find Pluto's Cave, already mentioned; but it is not easily found, since its several mouths are on a level with the general surface of the ground, and have been made simply by the falling-in of portions of the roof. Far the most beautiful and richly furnished of the mountain caves of California occur in a thick belt of metamorphic limestone that is pretty generally developed along the western flank of the Sierra from the McCloud River to the Kaweah, a distance of nearly four hundred miles. These volcanic caves are not wanting in interest, and it is well to light a pitch pine torch and take a walk in these dark ways of the underworld whenever opportunity offers, if for no other reason to see with new appreciation on returning to the sunshine the beauties that lie so thick about us. Evidence was found of its use by Pre-Columbian peoples. Visitors can safely hike into the cave about 1,200 feet (370 m).

References

External links USGS Mineral resources Edgewood Estates Photos Show Caves

Illustrations

Pluto's Cave illustration
Pluto's Cave: Plutos cave interior
Plutos cave interior

Worked examples

Example 1 — a first encounter with Pluto's Cave

Start with the simplest possible case. Write down what Pluto's Cave claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Pluto's Cave before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Pluto's Cave ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Pluto's Cave

In research
Pluto's Cave appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Pluto's Cave in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Pluto's Cave is common in secondary-school and first-year university syllabi. It links to neighbouring topics Caves of California, Klamath National Forest, Landforms of Siskiyou County, California, so understanding it makes those chapters shorter.
In everyday life
Look for Pluto's Cave outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Pluto's Cave in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Pluto's Cave means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Pluto's Cave out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Pluto's Cave in simple terms?

Pluto's Cave (or Pluto Cave) is a partially collapsed lava tube on the northern outskirts of Mount Shasta in the Klamath National Forest. Its main entrance is located close to the 99-97 Cutoff c. 12 miles (19 km) North-east of Weed and c. 14 miles (23 km) East-southeast of Grenada.

Why does Pluto's Cave matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Pluto's Cave?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Pluto's Cave.

Tags

  • Caves of California
  • Klamath National Forest
  • Landforms of Siskiyou County, California
  • Lava tubes
  • Mount Shasta

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