The grammar patterns you've mentioned are used to express proportional relationships or degrees of comparison. Here's how each works:

1. (〜ば)〜ほど・・・

This pattern expresses that the more one thing happens, the more another thing happens. It's like saying "the more X happens, the more Y happens."

• Verb (ば-form) + Verb (dictionary form) + ほど
• Adjective (い-stem) + ければ + Adjective (い-stem) + ほど
• Adjective (な-stem) + なら + Adjective (な-stem) + ほど

Formula:

• Verb:

  例: 見れば見るほど好きになる。

  ("The more I see it, the more I like it.")

• い-adjective:

  例: 安ければ安いほどたくさん買いたい。

  ("The cheaper it is, the more I want to buy.")

• な-adjective:

  例: 静かなら静かなほど勉強がはかどる。

  ("The quieter it is, the more I can concentrate on studying.")

2. (〜なら)〜ほど・・・

This pattern is similar to the first one but starts with "if." It implies "the more something is the case, the more (something else happens)."

• Noun + なら + Noun + ほど
• Adjective (な-stem) + なら + Adjective (な-stem) + ほど

Formula:

• Noun:

  例: 子供なら子供ほど、素直だ。

  ("The younger the child, the more honest they are.")

• Adjective:

  例: 有名なら有名なほど人が集まる。

  ("The more famous it is, the more people gather.")

3. 〜ほど

This can be used by itself, often in comparative expressions, to indicate the degree to which something happens.

• Noun + ほど